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Columbia. Core Economic Theory. Hart, 1946-47

Up through the academic year 1945-46, Arthur F. Burns offered the first core economic theory course, Economic Analysis (Economics 153-154), in the Columbia graduate program. The following year, 1946-47, the course was taught by the visiting professor of economics (who would be offered and accepted a regular appointment that same year), Albert G. Hart. In 1947-48 Economic Analysis was given a new course number, Economics 103-104, and taught in three sections by Hart, Stigler, Vickrey.
From Hart’s materials for Economic Analysis (1946-1947), I provide below transcriptions of “Introductory Notes” along with the “Prospectus and Background” and the “Outline of Economics 153—154” that includes reading assignments from a 92 page set of typed course notes. Midterms and final semester exams have been appended to this posting.

 

Introductory Notes

Prospectus and Background

Outline of Economics 153-154

Midterm exam, ca. late November 1946

First term final examination, January 21, 1947

Midterm exam, April 14, 1947

Final examination, May 22, 1947

_____________________________

*Economics 153-154—Economic Analysis. 3 points each session. Professor Hart.

M. and W. at 10. 301 Fayerweather.

Character, uses, and limitations of received economic theory. “Equilibrium” of economic units, markets, and clusters of markets; “process analysis.” Translation of policy problems into questions of theory, and of theory problems into questions of fact.

*Designed primarily for candidates for the degree of Doctor of Philosophy in Economics.

 

 

Economics 159—160—Economic Theory. 3 points each session. Mr. Vickrey.

Tu. and Th. at 9. 301 Fayerweather.

A systematic course in neoclassical economics, designed to prepare students for more advanced studies. Emphasis is placed on economic theory as a tool for analyzing economic changes.

[Note that Vickrey was listed in the Bulletin of Information that announced the courses for 1946-47. From the January 1947 examination below it is clear that Stigler taught either an additional section of Economics 153 or he taught Economics 159 instead of Vickrey in the autumn 1946 term. In any event the next year found all three (Hart, Stigler and Vickrey) teaching separate sections of the new core theory course, Economics 103-104.]

 

Source.   Columbia University Bulletin of Information, 46th Series, No. 37 (August 10, 1946). History, Economics, Public Law, Sociology, and Anthropology: Courses offered by the Faculty of Political Science (Winter and Spring Sessions, 1946-1947),p. 40-41.

 

_____________________________

 

Economics 153-154
ECONOMIC ANALYSIS
Outline

A. G. Hart, October 15, 1946

Economics 153—i
ECONOMIC ANALYSIS

Introductory Notes

The attached outline is aimed to clarify the general structure of the 153-143 course. Note that the topical outline becomes increasingly vague as to reading assignments toward the latter part of the course; this will be filled in later, as I get the feel of the class’s effective reading pace and as I improve my forecast of the time-table.

 

Arrangement of Outline

By way of orientation, the topical outline has been carried clear through to May. The detailed sentence outline, however, is brought only up to the current date; “to be continued”.

The sentence outline is intended to serve as at least a partial substitute for classroom notes. It is based on the notes from which I speak in class, and aims to carry the main thread of the argument. My own experience as a graduate student was that trying to get detailed notes interfered with thinking things through in classes; and I want to put the class in a position where class notes can be somewhat sketchy. If facilities can be managed, I hope at least part of the time to be able to give out installments of the sentence outline in advance, to maximize the extent to which I can accept interruptions in class without losing the thread.

From time to time there will be written exercises, supplementary reading suggestions, etc.

 

Why This Sequence of Topics?

The organization of the material is intended to minimize the chief normal learning-difficulty of economic theory, which arises from having to carry seemingly unrelated pieces of analysis some time in separate packages before they fit together. I am trying by my first and second “approximations” to keep the various special topics continuously in perspective; to fit in each piece almost as soon as it is developed; and to avoid carrying forward excess baggage in the way of gadgets which later prove useless.

The “first and second approximations” should not be identified with either “statics and dynamics” or “perfect and imperfect competition”. In my view, the best stopping-place for a first approximation is a good way short of a full account of “statics”; in particular, it leaves out a good many institutional insights which can be handled after a fashion in “static” terms. The “second approximation”, needless to say, will stop a good deal short of a well-rounded account of “economic dynamics”—for the very good reason that a satisfactory “dynamics” is not yet worked out. As to imperfect competition, some elements of the subject go into the first approximation; and a good many, to my taste, classify as useless gadgets and go out altogether.

 

Acquaintance with Authors

It is not a primary objective of the course to acquaint students with authors. But part of the process of learning theoretical analysis is to observe the theoretical frameworks set up by a few of the masters. The reading list will give the elements of the point of view of Marshall, Keynes, Hicks, Stigler or Boulding, and one aspect of the thinking of Lange; Fisher, Knight, Pigou and J. M. Clark will be represented only by fragments, and many other important writers not at all. The foregoing constitutes a minimum list of theorists whose mark should be represented in an economist’s bookshelf.

 

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PROSPECTUS AND BACKGROUND

 

I. Conceptions of the Course. I propose to treat economic theory not as an auxiliary to the economist’s work (like statistical method), but as the core of economics.

A. It is tempting to think of economics as composed of two classes of sub-fields: subject-matter fields (money, international trade, labor, etc.) relating to particular sets of institutions and their working: tools (theory, statistics, history, perhaps law).
B. Theory has a claim to be the distinctive feature by which economics can be identified.
C. In essence, theory is a systematic check list of questions: an economist is one who knows the questions.
D. The course aims at coverage (an “advanced principles”) rather than at maximum proficiency on a small number of topics.
E. I refuse to accept the view that theoretical and institutional approaches are competitive:

1. Neither type of knowledge of economics makes the other dispensable.
2. Each type of knowledge contributes to the applicability of the other.

 

II. Content of Economic Theory. Economic theory is a way of dealing with economic quantities; but it deals also with people and social groups.

A. Considering that economics purports to be a social science, it is astounding how far it turns out to operate by manipulation of abstract quantitative symbols.
B. The human side of economics comes in through the choice of hypotheses; but the central questions economics asks about people are quantitative.
C. In general, economic theory deals with choice among alternatives; with substitution of one means to an end for others; and with compromises among partially conflicting goals by maximizing something. It has to criticize goals themselves, with an eye on the degree to which goals are set to make the game interesting.
D. The quantities with which economics deals are in the first instance events (final services, productive services, transactions). “Goods” turn out to be “bundles of services”: wealth has the dimensions rate-of-service X time.

 

III. Plan of the Course. The course is planned as a “spiral” progression across a wide range of topics:

A. Its first stage is an analysis of national income and product, following Hicks.
B. Beyond that stage, analysis will run in terms of:

1. The economic unit (firm or household)
2. Markets as inter-relations of units
3. Unemployment and fluctuations
4. “Welfare economics”

C. In the second stage, these four problems will be considered in “Statics”—i.e., they are carried up to the point at which anticipations and uncertainty take on importance, but not further. The idea is to postpone refinement of analysis till after looking at the theorist’s concept of a “system of economics”.
D. In the third stage, elements of uncertainty will be brought to the surface, and the more general theoretical consequences of institutionalist insights not recognized in the second stage will be drawn.
E. In view of numbers, class meetings cannot be conducted primarily as discussions; but I shall welcome questions and argument, and hope to provide much of the benefit of discussion via written assignments and conferences. Student reliance must be largely on learning cooperatively.

IV. Economics as a Field. The field of economics deserves the best of human intelligence; and the profession is one in which its members can take pride.

A. The critical importance of economics is visible in the policy field: whether or not our society cracks up depends largely on whether a minimum of wisdom (or good luck) guides our economic policy.
B. Waiving the question whether economics is “a science”, it is a field in which it takes a great deal of mental power, and a heroic effort to correct biases, to make major contributions.
C. Economics has its weaknesses and its record of failures (though nothing like as black a record as the public may think); but its professional standards deserve respect, and its prospects seem hopeful.

 

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AGH—10/9/46

OUTLINE FOR ECONOMICS 153-154

[PART I]

I. Introduction. (Sept. 30-Oct. 2: 2 hours)

Required:

Hicks and Hart, Social Framework of American Economy, Chapter 1

Suggested Supplements:

Stigler, Economics of Price, Chapter 1

 

II. The Economic Process. (National Income and Output: Oct. 7, 9, 16: 3 hours)

Required:

Hicks and Hart, Parts I and IV; over II-III lightly.

Suggested Supplements:

F. H. Knight, teaching materials reproduced from Social Science II Syllabus (Univ. of Chicago Bookstore)

[PART II]

III. The Economic Unit: schematic view

A. The Firm and Costs (Oct. 18, 23, 25, perhaps 30: 3 to 1 hours hours)

Required:

Option:
Stigler, Chapters 7-9; 1st Section of Chapter 10 or
Boulding, Economic Analysis, Chapters 22-23, followed by 21

B. The Household (perhaps October 30; Nov. 4, 6, 11, 13,18, perhaps 20: 5 to 7 hours)

Required:

Option:
Stigler, Chapter V, or Boulding, chapters 29-30,
Hicks, Value and Capital, Chapters I-II
Marshall, Book III
Hicks, Note to Chapter II; Chapter III

 

IV. Inter-Relations of Units: “Markets”, First Approximation

A. Introduction: Interplay of units; aggregation; clearing the market (Oct. 30: 1 hour)

B. Monopoly: One unit versus many. (Nov. 4, 6

Required: Cournot, Chapter V

C. Perfect Competition on inter-related markets: factor markets; “general equilibrium”. (Nov. 18, 20, 25, 27: 3-4 hours)

Required: Cournot, Chapter V

D. Monopoly: One unit versus many. (Nov. 4, 6

Required:

Stigler, Chapter 10
Cassel, Theory of Social Economy
Hicks, Value and Capital, Part II (Chapters IV-VIII)

E. Variations on a Classical Theme: monopolistic competition (Dec. 2, 4, 9, 11: 4 hours)

Required:

Stigler, Part III (Chapters 11-15) (or alternative to be assigned)

Reserve of time: December 16, 18: 2 hours.

F. Inter-temporal and inter-spacial markets. (Jan. 6, 8, 13: 3 hours)

Required:

I. Fisher, or alternative to be assigned.
[Assignment: Irving Fisher, Theory of Interest, pp. 99-149, 178-230 or Rate of Interest, pp. 117-177. If possible, also Theory of Interest,pp. 231-315 or Rate of Interest, pp. 374-415 Cf. Stigler, Ch. 17, and Boulding, Ch. 33.]

Reserve of time: January 15: 1 hour.

 

V. Welfare Economics—First Approximation: (Feb. 3, 5, 10, 12: about 4 hours)

Losses through unemployment and through inefficient use of employed resources; equalization of returns at the margin as welfare criterion; system-wide external economies; inequality and incentives; substantial identity of welfare economics for capitalist and socialist economies.

Readings: Lange on Socialism; Lerner; Robbins-Kaldor-Hicks journal discussion; Simons.

[Marshall, Principles, Book V, Ch. XIII (pp. 462-476
A.P. Lerner, Economics of Control, pp. 1-105
O. Lange, Economics of Socialism (with Lippincott and Taylor; Lange essay) or “On the Economic Theory of Socialism”, Rev. Ec. Studies, Oct. 1936, pp. 53-71, and Feb., 1937, pp. 123-142
H. C. Simons, Positive Program for Laissez-Faire
L. Robbins, “Interpersonal Comparisons”, Econ. Jour., Dec., 1938, pp. 635-641
N. Kaldor, “Welfare Propositions” Ibid., Sept., 1939, pp. 549-552
D. H. Robertson, “Wage Grumbles” in Readings in Theory of Income Distribution, pp. 221-236
]

 

VI. Unemployment Fluctuations—First Approximation (Feb. 17, 19, 21, 26: about 4 hours)

Effects of general inadequacy of demand with limited price flexibility; “propensities” to save, invest, as influenced by government budgets, foreign trade, money, etc.; basis for expecting fluctuations in demand; the prescription of “Flexibility”.

 

Readings: Keynes, Lerner, NPA, A. F. Burns

[A. P. Lerner, Economics of Control, Chapters 22-23 (pp. 271-301)
Gardiner C. Means, Monetary Theory of Employment, Chapters V-VI (mimeographs; on reserve)
National Planning Association, National Budgets for Full Employment (pamphlet, Washington, 1945)

Additional stuff if time:

J. M. Keynes, General Theory of Employment, Interest and Money, Books III-IV (pp. 89-254)
A. F. Burns, Economic Research and the Keynesian Thinking of Our Times (New York, National Bureau of Economic Research, 1946) pp. 3-29
Oscar Lange, Price Flexibility and Employment, Bloomington, Indiana, 1944

(following mentioned with regard to use of numerical Keynesian models for forecasting)

Nicholas Kaldor in Beveridge’s Full Employment in a Free Society, Smithies and Mosak in Econometrica, for critical discussion cf., the 1945-1946 volumes of American Economic Review]

 

PART III: FIRST STEPS TOWARD REALISM

VII. The Unit—Second Approximation (March 3, 5, 10, 12, 17, 19: about 6 hours)

Imperfect access to markets; anticipations and planning; uncertainty, flexibility and liquidity; qualifications to first approximation arising from fact unit is social group; “just prices”, confederations of units and price rigidity.

Readings: Knight, Hart, Keynes, Hicks, Berle and Means;_______________]

[Assignment:
Hicks, Value and Capital, Chapters IX-X; XIV-XVIII (pp. 113-140, 171-236)
Hart, Anticipations, Uncertainty and Dynamic Planning (Chicago, 1940)
Means, Monetary Theory of Employment (mimeo) Chapter V.
Ad lib., A. A. Berle and G. C. Means, Modern Corporation and Private Property]

 

VIII. Markets—Second Approximation (March 24, 26; Apr. 7, 9: about 4 hours)

Gradations of price rigidity; imperfect clearing of markets; peculiarities of markets for productive services, perishables and durables; consistency, and inconsistency of expectations and locus of surprises; unintended saving and investment; differences of opinion and speculation.

Readings: Lindahl, Hicks, Keynes;_________________________

[Assignment:
Means, Monetary Theory of Employment (mimeo), Chapter VI.
E. Lindahl, Money and Capital, pp. 21-69
Mentioned with respect to “locus of surprises”: Hart, AER, Supplement, March 1938 and Rev. Econ. Stat., May, 1937 “of a sketch by Lindahl mimeographed in 1934).]

 

IX. Unemployment and Fluctuations—Second Approximation (April 16, 18, 23, 25: about 1 hour)

Uses and limitations of “modes”; uncertainty and interest; “stagnations”; inevitability of fluctuations in major comments; the policy issues.

Readings: To be worked out.

[For details and bibliography see National Planning Association, National Budgets for Full Employment and Hart and Mosak in AER, 1945-46.]

 

X. Welfare Economics—Second Approximation (May 5, 7, 12, 14: about 4 hours)

The economists’ struggle against proposals to enable groups to “earn” more by producing less; “social justice”; economic warfare within the nation and conditions of disarmament; adaptation of economic policy to social structure; role of reason in contemporary society.

Readings: To be worked out.

Reserve of time: Nil! Whence it becomes urgent to jam V into January if possible, pushing all of IV back before Christmas. By bet is that this can’t be done, however, and that in consequence Part III (especially VIII) must be skimped.

 

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ECONOMICS 153

[Undated but would fit into syllabus between Sections III and IV in November 1946]

Answer 4 questions:

1) What is Marshall’s theory of demand? In what direction has this theory been extended by modern research? What problems in demand theory deserve, in your judgment, the greatest attention in the years ahead? Why?

2) What are indifference curves? What can they contribute to the understanding of consumers’ behavior? To the understanding of producers’ behavior? To pure economic theory?

3) What does a demand curve of unitary elasticity mean? What does an average cost curve of unitary elasticity mean? Is the Marshallian demand curve equivalent to an average revenue curve, an average cost curve, or a marginal revenue curve? Why? Assuming a linear demand curve, indicate the elasticity of demand at ‘critical points’ on this curve. Will farmers benefit more from a short crop than from a bumper crop? Is there any conflict in this respect between the interests of farmers as individuals and as a class?

4)    (a) What, briefly, does the principle of diminishing return mean to Lucretius, Mill, Marshall, Stigler?

(b) Over what range of industry does ‘the’ principle of diminishing return apply? over what range of factors? over what range of output?

(c) What is ‘the’ principle of increasing return and how is it related to ‘the’ principle of diminishing return?

5) (a) Suppose that two factors of production are used in producing a certain commodity, one factor being fixed and the other variable. How much of the variable factor will a producer seeking the least-cost combination use, if the variable factor is free? If the fixed factor is free? if neither factor is free? if the price of both factors is doubled? if the price of the fixed factor is doubled while the price of the variable factor remains unchanged? Explain your answers.

(b) Suppose that both factors may be varied freely and that each costs money. How much of each factor will the producer use? Why?

(c) Same as (b), but suppose the number of factors is ten instead of two.

 

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ECONOMICS 153-159

Composite Final Examination
January 21, 1947
306 Mines
1:10—4:00

Answer enough questions to add up to 120 “minutes”. Students in Stigler’s section must include question 1. Do not answer both 1 and 6, nor both 1 and 9.

1. (60 minutes) There are 100 each of A and B farms in a competitive economy. The product schedules of one farm are

Total Product
Number of Laborers A Farm B Farm
1 40 40
2 90 80
3 140 115
4 185 145
5 225 170
6 260 190
7 290 205
8 315 215

i. Determine wages and rents on both types of farms when there are 240 laborers.
ii. Determine wages and rents on both types of farms when there are 900 laborers.
iii. And 910 laborers, no laborer divisible.
iv. With 900 laborers, those on the A farms organize and succeed in setting a wage rate of 40.
v. And then they raise the standard rate to 47.
vi. Congress, dominated by radicals, levies a 20 per cent tax on wages. There are 900 laborers, and full competition.

 

2. (30 minutes) Explain as briefly as possible each of the following statements.

i. For a monopolist, marginal cost is greater than marginal revenue at any output at which the demand is inelastic.
ii. Demand has no influence on the price of the product of a competitive industry that uses no specialized resources.
iii. The elasticity of a straight line demand curve varies from point to point.
iv. The imposition of a license fee does not affect short-run normal price.

 

3. (30 minutes) Write a short essay on utility theory, in one of its variants, taking into account:

i. The need for “going behind” the demand curve to explain observable behavior.
ii. The empirical evidence that supports the utility theory.
iii. The uses, if any, to which the utility theory can be put.

 

4. (15 minutes) Define each of the following concepts and write a brief paragraph on its place in contemporary economic theory:

a) Opportunity cost
b) Economic rent
c) Net profit
d) Consumer’s surplus
e) Marshallian long-run
f) Quasi-rent
g) Factor of production

5. (15 minutes) Explain the difference between the “marginal utility” and “indifference curve” approaches to the theory of consumption, and evaluate the advantages attributed to the latter.

6. (30 minutes) Explain the meaning and implications of “constant returns to scale”, Under constant returns to scale, what is the relation between the amounts of the factors used, their respective marginal productivities, and the total product.
Illustrate the meaning of increasing, constant, diminishing and negative returns to one factor–amounts of other factor being held constant—within the framework of constant returns to scale. In a range where there are increasing returns to one factor, what is implied about returns to other factors?

7. (15 minutes) Give an exposition, illustrated as well as decorated by diagrams, of one of the standard special cases of monopolistic competition theory—such as (a) a price leader “holding up the umbrella” for a fringe of small “independents”; (b) product differentiation with free entry; (c) substitution of selling-cost competition for price competition; (d) cartel with enforceable output quotas but open membership; (e) spatial competition with free entry but tabu on price competition (gasoline stations with fixed per-gallon markup).

8. (15 minutes) Do the same for one other of these cases. DO NOT TREAT MORE THAN TWO ALTOGETHER.

9. (30 minutes) Suppose a perfectly competitive industry, with long-run constant costs, is in long-run equilibrium. Trace adjustment to a new short-run and long-run equilibrium when a tax per unit of output is put into effect unexpectedly but permanently.
What difference will it make if the tax is per unit of input instead (the input affected accounting for, say, ¼ the industry’s costs)?
Where the tax is per unit of output, what difference will it make if the industry is subject to long-run increasing costs?

10. (30 minutes) Suppose a household has its “income” given in kind—in a “commodity X” rather than in “money”. Draw up a diagram with “money” graphed vertically and “X” horizontally, and trace out the loci of accessible combinations of X and money (“opportunity paths” alias “budget lines”) for several different prices of X.
Assuming both X and money to be necessities (in the sense that the household will always prefer a some-of-each combination to any alternative comprising some of one and none of the other), is it possible to draw on this diagram a field of indifference curves so shaped that the points of maximum attainable satisfaction along these opportunity paths will show the household retaining more X (“supplying” less X) at higher prices than at lower prices of X? If so, draw such a field of curves; if not, show geometrically why it cannot be done.
Relate this analysis to the supply by households of agricultural commodities for which overhead costs overshadow variable costs (apples?). To the supply of labor (regarding X as leisure, of which less is retained as more time is devoted to work).

11. (15 minutes) Is the “law of diminishing returns”, construed in terms of variable proportions of inputs, a “law” of engineering, social relations, or individual psychology? (or is it strictly a parlor accomplishment for economists?) Justify your answer.

12. (30 minutes) (a) Economists generally accept a strong presumption that demand curves have a “negative slope”: i.e., that increasing a price reduces the amount demanded. What are the main pieces of evidence by which this presumption can be supported? Do you consider the evidence adequate?
(b) On the supply side, economists feel a much weaker presumption that increasing a price will increase the amount supplied, particularly where many of the suppliers have only one type of commodity (or service) to sell. What are the grounds for this difference in the strength of the presumption?

13. (30 minutes) Describe the Walrasian equations and discuss their significance in relation to the determinateness of the general equilibrium of a simple exchange economy.

14. (15 minutes) Discuss bilateral monopoly (monopolistic seller facing monopsonistic buyer) in relation to the efficiency of the bargaining and exchange process, the determinacy of the general equilibrium, and factors affecting the result.

15. (15 minutes) Distinguish between impatience and marginal time preference as a basis for interest. What other factors besides interest affect the supply of savings and capital?

16. (30 minutes) The following table shows the estimated yearly traffic over a proposed bridge at various rates of toll:

Toll Cars per year
$2.00 None
1.50 1,000,000
1.00 2,000,000
.50 3,000,000
.00 4,000,000

If the bridge can be built at an annual cost of $3,500,000 for interest, depreciation, and repairs, would it be worth while, from the point of view of the community as a whole, (a) if no toll is to be charged; (b) if a toll of $1 is to be charged, the balance of the cost coming from taxes. Can such a bridge be undertaken privately? If so, how?

If the bridge costs only $2,000,000 and a private company undertakes it, charging $1 toll, what is the net social loss as compared with operating without a toll? If the cost is $1,500,000 and the necessary toll is 50 cents? Discuss the qualifications, if any, to be attached to your conclusions. Note: Consider the demand curve to be continuous, not a series of steps; i.e., at a toll of $.10, traffic is 3,800,000, at $.20, 3,600,000, etc. Ignore wear & tear on bridge.

 

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Economics 154
Hour Examination
April 14, 1947

  1. (30 minutes) Write a brief essay on “external economies and diseconomies of large scale production”, touching upon:

a) Economies external respectively to firm and to industry
b) Distinction between external economies operating via changes in production functions and via price changes
c) Effects analogous to external economies in the affairs of households
d) The Marshall-Pigou tax and subsidy proposal

  1. (20 minutes) Comment on the sense and degree in which “welfare economics” is handicapped by limitations on the “interpersonal comparison of utilities”.

 

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Final Examination
Economics 151 and 160
May 22, 1947

Answer one question in each group and four questions in all.

Group I

1. Explain the following propositions:

a. If the proportion in which two factors of production are used in producing a commodity in a certain industry is not alterable, the industry’s demand for factor A will be less elastic (1) the less elastic is the demand for the commodity, (2) the smaller the proportion of total costs that factor A accounts for, and (3) the less elastic is the supply of factor B.

b. If the proportions in which the two factors are used can be altered, the demand for A will be less elastic the less easily it can be substituted for factor B.

2. What reasons are advanced by Adam Smith and J. S. Mill to explain persistent differences between the wages of labor in different occupations? Under what conditions would demand be important?

3. What deviations from the “social optimum” of welfare economics result from monopolistic competition? Discuss (a) the use of existing resources; (b) investment; (c) income distribution.

Group II

4. Explain two of the following propositions and indicate how imperfections in the loan market affect their validity.

a. To maximize their satisfaction from income, individuals borrow or lend in a volume that equates their marginal rates of time preference with the market rate of interest.
b. It pays investors to undertake all ventures in which the rate of return over cost (internal rate) is as high as the market rate of interest.
c. Current rates of interest for loans of different maturity imply specifiable expectations of rates of interest to rule in the future.

5. “For the individual, the rate of interest will determine the choice among his optional income streams (investment opportunities), but, for society as a whole, the order of cause and effect is reversed. The rate of interest will be influenced by the range of options open to choice.”

6. Which of the following statements about interest have been supported by which of the economists listed below, and which of the statements have not been supported?

a. Interest equates the supply and demand for capital.
b. Interest reflects the superiority of roundabout methods of production.
c. Interest represents the rate at which the total stock of capital in the community increases.
d. The rate of interest corresponds to the rate of decline of the marginal productivity of capital.
e. Interest is the reward for the sacrifice of liquidity.
f. Savings tend towards the point at which interest equals the marginal propensity to consume.
g. Interest arises from the exploitation of labor by capital.
h. Interest is a monopoly profit exacted by bankers through the exercise of the sovereign power to coin money.

Böhm-Bawerk, J. B. Clark, Commons, Fisher, Keynes, Marx, Nobody, Soddy, Veblen.

Explain the reasoning behind one of the statements.

7. What are the relations between the spot price of a commodity (cotton), the spot price expected to rule six months from now, and the (“futures”) price at which a contract will be entered into now for execution six months from now? Explain with allowance for uncertainty.

 

Group III

8. “…it is not the rate of interest, but the level of incomes which ensures equality between saving and investment.” Explain.

9. Expound and criticize Means’s doctrine of price rigidity as cause of unemployment.

10. Comment on F. H. Knight’s view that “in the absence of uncertainty the velocity of circulation of money would be infinite.” How far and what sense does uncertainty explain the “transactions, precautionary and speculative motives” to hold money?

 

Source: Columbia University Libraries, Manuscript Collections. Albert Gailord Hart Collection, Box 62, Folder “Sec (4) Ec 153-154 Columbia = 103-104 Micro, grads”.

Image Source:  Obituary in The Columbia Spectator, October 3, 1997.

Categories
Exam Questions Harvard

Harvard. Final Examination Questions. Economics Courses, 1912-13

 

 

For the academic years 1912-13 through 1915-16 there are complete (or at least nearly complete) sets of examinations for many departments, including economics available at hathitrust.org. In this posting we have final examinations for all economics courses but three for the 1912-13 academic year. Since courses are only identified in these collections by number, I have provided the course titles, instructors’ names and course registration figures available in the annual Harvard Presidential Report for that academic year.

The three courses for which no final examination questions (perhaps the grade was not even determined by examination) were:

Economics 13. Statistics. Theory, method, and practice. Professor Ripley. (6 Graduates, 1 Senior, 3 Radcliffe: Total 10)

Economics 24. Topics in the Economic History of the Nineteenth Century. Professor Gay. (4 Graduates, 1 Senior: Total 5)

Economics 33 1hf. Tariff Problems in the United States. Professor Taussig. (5 Graduates, 3 Seniors: Total 8)

FINAL EXAMINATIONS
1912-13

Economics 1. Principles of Economics
Economics 2a lhf. European Industry and Commerce in the Nineteenth Century
Economics 2b 2hf. Economic and Financial History of the United States
Economics 3. Money, Banking, and Commercial Crises
Economics 4a 1hf. Economics of Transportation
Economics 4b 2hf. Economics of Corporations
Economics 5. Public Finance, including the Theory and Methods of Taxation
Economics 6a lhf. Trade-Unionism and Allied Problems
Economics 6b 2hf. The Labor Movement in Europe
Economics 7. Theories of Distribution and Distributive Justice
Economics 8. Principles of Sociology
Economics 9. Principles of Accounting.
Economics 11. Economic Theory
Economics 12 lhf. Scope and Methods of Economic Investigation
Economics 14. History and Literature of Economics to the year 1848
Economics 16. The History of Modern Socialism
Economics 23. Economic History of Europe to the Middle of the Eighteenth Century
Economics 31. Public Finance
Economics 32 2hf. Economics of Agriculture, with special reference to American conditions

 

________________________________________

Economics 1. Principles of Economics.

Professor Taussig and Dr. E. E. Day, assisted by Messrs. Heilman, Jones, Burbank, Crosgrave, and Eldred.
1 Graduate, 21 Seniors, 93 Juniors, 307 Sophomores, 21 Freshmen, 38 Other. Total 481.

 

[p. 38-39]

ECONOMICS 1

  1. To what extent and in what manner do the following contribute to the formation of capital: (a) a government loan; (b) the stock exchange; (c) commercial banks; (d) the corporate form of business organization?
  1. Explain “margin of cultivation.” Distinguish between the intensive margin of cultivation and the extensive margin of cultivation. What is the relation between (a) the margin of cultivation in agriculture and the price of a bushel of wheat; (b) the margin in gold mining and the value of an ounce of gold?
  1. Assume that a monopoly produces a commodity under conditions of constant cost. What determines the extent to which the monopoly price will be above the price which competition, if existent, would establish? Illustrate by diagram.
  1. The rentals from a New York office building amount to $50,000 a year. The building is worth $200,000. To provide for insurance, depreciation and such fixed items, $10,000 is expended annually. The current rate of interest upon investments of equal security is 5%. What is the value of the land?
  1. What is “dumping “? What induces it? To what extent is it dependent upon (a) monopoly conditions; (b) tariff barriers?
  1. Explain briefly why (a) the rates of wages are generally higher in the United States than in Germany; (b) higher for plumbers than for unskilled laborers; (c) for domestic servants than for women employed in shops and factories. Suppose a socialist community apportioning wages on the basis of equality of sacrifice: would these differences persist?
  1. How are the wages and the number employed within a particular industry affected, immediately and ultimately, by the invention of labor-saving devices in that industry?
  1. Explain: (a) railroad rebates; (b) over-capitalization; (c) public service industries; (d) “reasonable restraint of trade”; (e) stoppage at the source.

 

________________________________________

 

Economics 2a lhf. European Industry and Commerce in the Nineteenth Century.
Professor Gay, assisted by Dr. M. T. Copeland.
16 Graduates, 14 Seniors, 44 Juniors, 17 Sophomores, 3 Freshmen, 5 Other. Total 99.

 

[p. 39-40]

ECONOMICS 2a1

  1. “The effect of Peel’s measures of 1842-1845 was to demonstrate how much the trade and industry of the country might be encouraged by the readjustment of fiscal burdens.” Explain.
    Is a similar readjustment needed in England at the present time? Why or why not?
  1. (a) How was the capital for the construction of railroads prior to 1870 obtained in the different European countries? Why?
    (b) Why was the railroad policy of Prussia modified after 1870? With what results?
  1. Compare the organization of the wool manufacturing industries in England, Germany, and France at the present time, explaining to what the differences are due. How far are these differences typical?
  1. Compare the English and Belgian methods of relieving the recent agricultural depression.
  1. In which industries have Kartells been formed in Germany? Why? Compare with the movement for combination in England.
  1. Explain the statement in regard to English agriculture that “after the middle of the eighteenth century the two revolutions, the industrial and the agricultural, which are indeed only manifestations of the same scientific and commercial spirit, go hand in hand and supplement one another.” Does this statement apply also to Germany? Why or why not?
  1. Discuss briefly —

(a) English ” Friendly Societies.”
(b) Pitt’s Sinking Fund.
(c) Zollverein.
(d) French shipping subsidies.
(e) Charter and line traffic.

 

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Economics 2b 2hf. Economic and Financial History of the United States.
Professor Gay, assisted by Dr. M. T. Copeland.
18 Graduates, 22 Seniors, 50 Juniors, 27 Sophomores, 1 Freshman, 6 Other. Total 124.

 

 

[p. 40-1]

ECONOMICS 2b

  1. “The most important feature of life in a newly settled community is its commercial connection with the rest of the world.” Why? How is this illustrated (a) by the history of the American colonies and (b) by the history of the West?
  1. What were the causes for the decline of the American merchant marine? What attempts have been made to assist its recovery? With what results?
  1. Compare in its main features the economic history of the decade 1830-40 with that of the decade 1880-90.
  1. Compare the conditions which stimulated industrial combinations in the ’90’s with those which resulted in railroad combinations in the ’70’s.
  1. Within the last twelve months the New England Cotton Yarn Company, the U. S. Finishing Company, and the International Cotton Mills Corporation have each undergone reorganization. What was the earlier history of these companies and how far did that history foreshadow the necessity for such reorganizations?
  1. If you were to establish a mill for manufacturing silk goods at the present time, how would the conditions which you would meet in that industry differ from those which confronted a silk manufacturer forty or forty-five years ago? Why have these changes taken place? How far are they typical of the general industrial development of the United States during this period?
  1. (a) Comment on the following statement, which was made in a speech in Congress in 1846. “It is a protective tariff which gives to American industry the only effectual guaranty that it will not be brought down to a level with the degraded labor of Europe. It furnishes the only security that our standard of wages is not to be measured by the cost of production in those countries where the life of the laborer is but an incessant struggle for bread.”
    (b) Judging from the history of the years 1893-1900, as well as from present conditions, is the present year more or less opportune than 1909 for a downward revision of the tariff? Why?

 

________________________________________

 

Economics 3. Money, Banking, and Commercial Crises.
Dr. E. E. Day, assisted by Messrs. Ise and F. E. Richter.
3 Graduates, 31 Seniors, 67 Juniors, 16 Sophomores, 1 Freshman, 1 Other. Total 119.

 

[p. 41-42]

ECONOMICS 3

  1. What factors favored the monetary rehabilitation of silver in the United States during the 70’s? Which of these factors are still operative? Explain the disappearance of the others.
  1. What banking abuses were most common in the United States early in the nineteenth century? When and how, if at all, have these since been eliminated?
  1. What is the relation between the Bank of England rate and the London market rate of discount when (a) funds are abundant; (b) funds are relatively scarce? In what ways does varying the Bank rate accomplish the protection of the English banking reserves?
  1. What is meant by a free gold market? Are the following such: London; Paris; Berlin; New York? In each case, why or why not?
  1. How will the rate of sterling exchange in New York be affected by: (a) a crop failure in the United States; (b) hoarding of specie in Europe; (c) a slump on the New York Stock Exchange; (d) a banking panic in this country?
  1. “The call-loan market . . . furnishes to the banks of the country under the present organization of banking, their only means of mobilizing their reserves, of liquifying their assets, and of securing flexibility in their lending power.” Explain and criticize. How, if at all, should this feature of our system be changed?
  1. In the equation of exchange given by Professor Fisher, what is the relation of M, M’, V, and T (a) during a period of rising prices; (b) during a period of settled prices?
  1. Describe the crisis of 1873 with reference to: (a) its general antecedents; (b) its more important causes in the United States; (c) its final outbreak in this country; (d) the territorial extent of the reaction; (e) the severity and duration of the subsequent depression.

 

________________________________________

 

Economics 4a 1hf. Economics of Transportation.
Professor Ripley, assisted by Mr. Crosgrave.
6 Graduates, 2 G.B., 36 Seniors, 85 Juniors, 24 Sophomores, 3 Other. Total 156.

 

[p. 42-3]

ECONOMICS 4a

  1. Compare the lease with stock ownership as a means of combination, stating the advantages and disadvantages of each.
  1. Show how recent interpretation of the Federal law may conceivably affect the status of railway traffic agreements.
  1. State very briefly the point raised in the following cases: —

(a) Portland Gateway.
(b) Illinois Central car supply.
(c) Alabama Midland (Troy).
(d) Orange Routing.

  1. Have any of the above points been since corrected by legislation; if so in what manner?
  1. Give reasons for the following differences in net capitalization per mile of line:

Union Pacific $65,000         Reading $170,000
Pennsylvania    86,000        Erie            170,000

  1. What particular circumstance materially affects the success of Government ownership and operation:

(a) In Germany?
(b) In Italy?
(c) In Switzerland?

  1. What is the present attitude of the Federal courts toward the proper basis to be used in the determination of reasonable rates?
  1. How effective practically has been the ” Commodity Clause” of the law of 1906?
  1. To whom properly belongs the surplus earnings of a railroad over and above a rate of return requisite to provide an adequate supply of new capital for future development? State your own view, but set forth your reasons fully.

 

________________________________________

 

 

Economics 4b 2hf. Economics of Corporations.
Professor Ripley, assisted by Mr. Crosgrave.
6 Graduates, 20 Seniors, 86 Juniors, 15 Sophomores, 3 Other. Total 130.

 

 

[p. 43-4]

ECONOMICS 4b

  1. Why was the dissolution of the “Tobacco Trust” more difficult than that of the Standard Oil Company? Explain fully.
  1. Indicate certain differences in the eye of the law between monopolization and restraint of trade.
  1. Herewith are two balance sheets of companies A and B respectively. Comment upon them, contrasting one with the other. Which apparently denotes the greater financial stability?
Co. A
Assets Liabilities
Plant $3,500,000 Preferred Stock $5,000,000
Merchandise 1,800,000 Common Stock 15,000,000
Bills Receivable 700,000 Accounts Payable 600,000
Cash 1,400,000
Good-will and Patents 13,200,000
$20,600,000 $20,600,000
 

Co. B

Assets Liabilities
Factories $15,000,000 Capital Stock $65,000,000
Securities owned 18,000,000 Debentures 15,000,000
Merchandise 20,000,000 Surplus 3,000,001
Accounts Receivable 30,000,000
Franchises and Good-will 1
$83,000,001 $83,000,001

 

  1. Name, with briefest possible description in each case, and in order of seriousness, at least five distinct forms of unfair competition in trade.
  1. Do all the foregoing forms of unfair competition affect thgeneral public as well as direct competitors? Does this factor apparently influence the attitude of the courts?
  1. What was the essence of the U. S. Steel Bond Conversion plan? What became of it?
  1. Contrast administrative and judicial forms of controlling monopoly, pointing out the merits of each.
  1. Outline the plan of reorganization of the National Cordage Company. Was it typical of industrial reorganizations in general?
  1. What are the three leading objections to the so-called “holding company “?
  1. Outline what most appeals to you as a feasible plan for dealing with the existing trust problem. State concisely in definite propositions covering all points at issue.

 

________________________________________

 

Economics 5. Public Finance, including the Theory and Methods of Taxation.
Professor Bullock.
6 Seniors, 14 Juniors, 4 Sophomores, 1 Other. Total 25.

 

[p. 44]

ECONOMICS 5

  1. Explain and discuss critically the methods employed in the taxation of land in Germany, France, Great Britain, Australia, and the United States.
  1. Compare the general property tax with the general income tax, considering both the theory and the practical operation of these taxes.
  1. Compare the French, Prussian, and British systems of direct taxation.
  1. Compare the British system of indirect taxation with those of France and the United States.
  1. Discuss the taxation of mortgages in the United States.
  1. What changes in the taxation of personal property have recently occurred in the United States?
  1. Compare the British, Prussian, and Italian income taxes. .
  1. Outline what you consider a satisfactory theory of the just apportionment of public charges.

 

________________________________________

 

Economics 6a lhf. Trade-Unionism and Allied Problems.
Professor Ripley, assisted by Mr. Crosgrave.
3 Graduates, 44 Seniors, 19 Juniors, 4 Sophomores, 2 Other. Total 72.

 

[p. 45]

ECONOMICS 6a

Answer the first five briefly

  1. What is sabotage?
  1. What is the ” extended ” closed shop?
  1. What is the principal practical difficulty in the “general strike”?
  1. Is it met by the adoption of any positive policy in France by the “syndicates”?
  1. In the syndicalist programme what is to be the unit in the reorganized state?
  1. Contrast collective bargaining under sanction of the law with its adoption by private arrangement; (a) from the point of view of advantage to the employer; (b) from that of the workman.
  1. What are the four main features of the New Zealand legislation. (Each in a sentence.)
  1. What is the principal demonstrated weakness in the above legislation?
  1. What are three disabilities of the individual workmen in negotiating a wage contract?
  1. Wages for women in domestic service and in manufactures seem out of line with one another. What main difference helps to explain this?
  1. What is the present condition of affairs respecting the closed shop in the United States? Outline the course of events for two decades.
  1. How does the law of conspiracy enter into the decision by courts in labor disputes? How has Great Britain settled it?

 

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Economics 6b 2hf. The Labor Movement in Europe.
Asst. Professor Rappard.
5 Graduates, 12 Seniors, 9 Juniors, 1 Sophomore, 3 Other. Total 30.

 

[p. 45-6]

ECONOMICS 6b

Arrange answers in order of questions. Students who wrote theses will omit the first three questions.

  1. Enumerate five of the effects which Engels says the Industrial Revolution had on the manufacturing population of England. What were Engel’s chief sources of information?
  1. How does Sombart distinguish between (a) Rational Socialism (Utopian Socialism and Anarchism) and (b) Historical Socialism?
  1. What effect, according to Marx, does machinery have

(a) Upon real wages?
(b) Upon nominal wages?
(c) Upon “relative surplus-value”?
(d) Upon “absolute surplus-value”?

  1. Why is it customary to mention the English enclosure movement in dealing with the history of labor in Europe in the 19th century?
  1. What were the historical relations between the doctrines of Godwin, Malthus and Darwin?
  1. What was Chartism? Saint-Simonism? Which was more radical? More socialistic? Give reasons.
  1. Write a biography of Marx (300 to 500 words).
  1. Compare the views of Marx and Vaudervelde on ” Capitalist Concentration.”
  1. Give chapter headings of a thesis on “The Socialist Movement in Germany, 1860-1890” in six or more chapters.
  1. Distinguish between (a) Socialism (b) Anarchism (c) Syndicalism.
  1. “From each according to his abilities, to each according to his needs … To every laborer the entire product of his labor … At first sight, these two formulas are absolutely contradictory. We believe, however, that it is possible and necessary to reconcile them and to complete each by the other.” — Vaudewelde.
    How does the author do this? What practical suggestions does he make for arranging distribution in the socialist state?
  1. What difficulties does Skelton think a socialist state would encounter

(a) In administering the government?
(b) In determining what commodities should be produced?
(c) In distributing wealth?

 

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Economics 7. Theories of Distribution and Distributive Justice.
Professor Carver.
3 Graduates, 7 Seniors, 13 Juniors, 1 Sophomore, 1 Other. Total 25.

 

[p. 47]

ECONOMICS 7

  1. Explain and illustrate the principle of marginal utility and its relation to the value of consumers’ goods.
  1. Explain and illustrate the law of variable proportions and its relation to the value of the factors of production.
  1. Discuss the various criteria of justice in the distribution of wealth.
  1. Explain and illustrate exactly what you understand by self-interest.
  1. How would the single tax probably affect the demand for labor? Would its effect probably be stronger on unskilled than on skilled labor? On skilled labor than on business talent?
  1. How do mechanical inventions affect the demand for capital and for different grades of labor?
  1. Describe one communistic society, giving some account of its origin, the causes of its success if it succeeded and of its failure if it failed.
  1. Outline a program for raising the wages of all the lower grades of labor.

 

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Economics 8. Principles of Sociology.
Professor Carver.
10 Graduates, 41 Seniors, 74 Juniors, 18 Sophomores, 4 Other. Total 147.

 

[p. 47-8]

ECONOMICS 8

  1. What, in your opinion, is the ultimate test of progress? Give your reasons.
  1. Compare the views of Buckle and Peschel as to the influence of geographical surroundings on religion.
  1. What is the relation between the institution of the family and the institution of property?
  1. What place has the genius in social progress? Give your own opinion and state the views on this question of authors whom you have read.
  1. Outline the leading forms of waste labor and of waste land, giving briefly the reasons why each form of waste exists at the present time.
  1. Compare the views of Mill and Ross as to the limits of social control.
  1. What, according to Ross, is the relation of resentment to social order?
  1. What are the reasons for the existence of the ballot? How far would these reasons justify the extension of the ballot?

 

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Economics 9. Principles of Accounting.
Asst. Professor Cole, assisted by Mr. Eliot Jones.
7 Graduates, 8 Graduates of Applied Sciences, 62 Graduates of Business School, 147 Seniors, 50 Juniors, 2 Sophomores. Total 276.

 

[p. 48-50]

ECONOMICS 9

Save one hour for the last question. It will count as one-third of the paper.

  1. Show by journal entries what should be debited and what credited for the following transactions:

(a) Granting a discount to a customer, for early payment of a bill, so that, though the amount of the bill was $100, he pays but $95.
(b) Paying a lawyer $50 for trying to collect a bill that proves uncollectible, and writing off the debt ($250) as bad.
(c) Collecting $75 as full payment, including interest to the amount of $17, for a debt previously written off as bad.
(d) Giving a friend whose credit at banks is not very good, because he is a new-comer in town, and for whom, therefore, you do not wish to endorse notes, your own note for $1000, with the understanding that he will discount it at a bank, and taking in exchange your friend’s note (for the same amount and time) which you intend to keep until maturity.
(e) Discounting at a bank your friend’s note mentioned in (d), because you find his credit has improved in the public mind and you need the money. [Discount $7.]
(f) Returning to the manufacturers, as unsatisfactory, goods billed at $500 and bought to be sold at $650.
(g) Delivering goods from the store as part payment of clerks’ wages, and allowing 5% discount to clerks. [Retail price $50, clerks’ price $47.50.]
(h) Issuing a stock dividend of $50,000.
(i) Selling a new $2,000,000 issue of stock for $2,100,000. [Corporation’s books.]

  1. A bond table gives the value of $10,000 of bonds for January 1 as $10,366.27, and for July 1 as $10,323.60. On the latter day you collect $250 interest. What entry shall you make for the interest?
    Assuming that the valuation of the bonds was determined on a 4% basis, how could you prove the correctness of the July 1 valuation if you knew that the valuation for January 1 was correct?
  1. Define and discuss the purpose of the following: —

(a) a machine rate,
(b) a life-insurance reserve,
(c) a national-bank redemption fund,
(d) a stores ledger,
(e) a machine ledger,
(f) a controlling account.

  1. Would expense burden enter into a plan of cost accounting for (a) a department store, (b) a hospital, (c) a college, (d) a gas company? Explain briefly how, or why not, in each case.

Remember in solving problems that time and confusion are often saved by the use of journal entries as guides in determining which accounts are affected.

  1. The balance sheet a year ago was as follows: —
Plant $125,000 Capital Stock $140,000
Accounts Receivable 33,000 Bills Payable 10,000
Merchandise 19,000 Accounts Payable 24,000
Cash 5,000 Surplus 8,000
$182,000 $182,000

An abbreviated tentative income sheet for the year just closing gave the following figures: —

Wages $85,000 Other Expenses $71,000
Materials 54,000 Gross Income 240,000

No items relating to the care of property were included in the “other expenses,” and they are now to be provided for. Such items are found on the debit side of the trial balance as follows:—

Depreciation $5,000 Replacement $4,000
Repairs 8,000 Additions 12,000

Supposing the only changes in the balance sheet are those caused by the items shown above (profit or loss and care of property) and that cash absorbs the net effect of changes not otherwise indicated, show the income sheet and the balance sheet for the new year.

  1. Prepare such a tabular statement or statements as an accountant should give to his employers or clients for a business yielding the following figures on three trial balances (of ledger balances) taken at the times indicated.
Trial balance at the opening of business, Jan. 1, 1912 Trial balance, Dec. 31, 1912, before the books are closed Trial balance at the opening of business, Jan. 1, 1913
Dr. Cr. Dr. Cr. Dr. Cr.
Capital Stock $200,000 $200,000 $200,000
Bills Payable 30,000 40,000 40,000
Accounts Payable 35,000 37,500 37,500
Surplus 7,000 7,000 9,000
Dividends declared 10,000 10,000
Real Estate and Plant $135,000 $137,500 $137,000
Accounts Receivable 88,200 80,200 80,200
Goods in process 17,000 17,000 20,000
Finished Goods 25,000 25,000 23,000
Raw Materials Inventory 15,000 15,000 35,000
Raw Materials 57,000
Wages 7,000 52,000 2,000
Taxes 200 2,300 200
Insurance 1,000 2,200 1,000
General Expenses 7,500
Sales 113,200
Cash 8,000 2,000 2,000
$289,200 $289,200 $397,700 $397,700 $298,700 $298,700

If you give more than one statement, prepare one at a time, and leave the reconciliation between statements until all are complete.

 

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Economics 11. Economic Theory.
Professor Taussig.
20 Graduates, 1 Graduate at Business School, 4 Seniors, 5 Juniors, 1 Other. Total 31.

 

[p. 50-3]

ECONOMICS 11

[Arrange your answers strictly in the order of the questions]

  1. Explain the connection between

(a) the rent of mines;
(b) Carey’s doctrine that the total rent received by land-owners is less than interest on the total investment for improving land;
(c) the earnings of barristers or opera-singers;
(d) the earnings of ” successful ” business men.

  1. “Men are not equal. . . . Those capable of organizing and leading industrial enterprise are in a minority, and are indeed few; hence they can put a price on their services which would be impossible if there were many. Their services are not worth more on this account, but they can get more for them. Because the community needs their services, and cannot perhaps get along without them, they can, if they like, put ” famine prices ” on the commodity (organizing and directing talent) which they have to sell; while, on the other hand, those who have only labor or physical skill, though they are just as necessary, are many, and hence can about as readily be taken advantage of as the others can take advantage.” What have you to say? Can the ” famine prices ” be justified?
  1. (a) “There are, in fact, few no-rent men in actual employment; and the reason for this is clear, since work involves a sacrifice, and it does not pay to incur the sacrifice unless the earnings be a positive quantity. In those times and places in which child labor has been employed, with little regard for the welfare of the victims, labor that was not at the no-rent point, but very near it, has been pressed into service. But, where the sacrifice entailed by labor is, in some way, neutralized by a benefit that work confers, labor which creates literally nothing may sometimes be employed. Lunatics or prisoners may be kept at work, in order that they may secure fresh air and exercise, even though the amount of capital that they use, if it were withdrawn from their hands and turned into marginal capital, would produce as much as it does when it is used by them. In such a case the product imputable to their labor is nil.
    The existence of any no-rent labor enables us to make the rent formula general and to apply it to every concrete agent of production.”
    (b) “The productivity of any capital, whether human or external, will differ with the capital. Men differ in quality, i. e., in productive power, as truly as lands or other instruments differ. Some men have a high degree of earning power and some have not.
    Some men can work twice as fast as others. Some men can do higher grades of work than others. The result is that we find men classified as common manual laborers, skilled manual laborers, common mental workers, superintending workers, and enterprisers.
    Just as we can measure the rent of any land by the difference in productivity between that and the low-rent, or no-rent, land, in exactly the same way we can measure the difference in productivity between men. There is no grade of workmen called the “no-wages men,” but there would be such a grade if it were customary for their employer to pay for their cost of support (as the employer of land pays for its cost), so that only the excess above this cost were to be called wages.”

Compare the two trains of reasoning; give your opinion; and state by what authors the passages were written.

  1. “If the proprietor of superior land were to say, ‘I will take no rent for it,’ this would not make wheat cheaper. The supply would not be changed; for the same quantity would be raised, the marginal amount raised on the no-rent land would be needed and would be bought at the former price, and all other parts of the supply would command the same rate. … It is a striking fact — but one hitherto much neglected — that similar conclusions apply to the product of every other agent ” [capital and labor]. Do similar conclusions apply? Who do you think is the author of this passage?
  1. What three grounds explain, according to Böhm-Bawerk, the preference for present goods over future? Which of them does he conclude to be the most important? State Fisher’s criticism; and give your own opinion on the controverted question.
  1. “In the present condition of industry, most sales are made by men who are producers and merchants by profession. . . .For them, the subjective use value of their own wares is, for the most part, very nearly nil. … In sales by them the limiting effect which, according to our theoretical formula, would be exerted by the valuation of the last seller, practically does not come into play.” — Böhm-Bawerk.
    What is the ” theoretical formula “? and what is the importance of the qualification here stated?
  1. In what sense are the terms “demand” and “increase of demand ” used in the following passages:

(a) “The democratization of society and the aping of the ways of the well-to-do by the lower classes have greatly increased the demand for silk fabrics.”
(b) “The lower price of sugar after 1890, when sugar was admitted free of duty, at once caused an increase of demand.”
(c) “The cheapening of a commodity may mean an increase of demand such that the total sum spent on it will be as great as before, even greater than before.”

  1. Explain the essentials of Veblen’s theory of crises, and state wherein you think it most tenable, wherein least so.

 

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Economics 12 lhf. Scope and Methods of Economic Investigation.
Professor Carver.
2 Graduates, 1 Radcliffe. Total 3.

 

[p. 53]

ECONOMICS 12

  1. Explain verbally, and show by means of an outline, the relation between private and public economics and the main subdivisions of each.
  2. Into what main departments would you subdivide the subject of economics if you were going to write a general text book for college classes. Give your reasons.
  1. What are the characteristic methods of reasoning, methods of collecting information, and methods of exposition in economics? Mention examples, or give illustrations of each. What are the special advantages of each? To what class of problems is each especially adapted?
  1. Comment upon the following: —

“The economist may thus be considered at the outset of his researches as already in possession of those ultimate principles governing the phenomena which form the subject of his study, the discovery of which in the case of physical investigation constitutes for the inquirer his most arduous task; but, on the other hand, he is excluded from the use of experiment.” (Cairnes, pp. 89-90.)

  1. What, according to Warner, are the characteristic methods of determining the causes of poverty? What are the merits and defects of each method? Give illustrations.
  1. Comment upon the statement that “political economy depends more upon reasoning than on observation.” Is this the same as saying that the greatest present need is for sound reasoners rather than for close observers? Would either statement apply to all possible conditions and to all classes of problems?
  1. Discuss Clark’s reasons for describing capital as a sum of money.

 

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Economics 14. History and Literature of Economics to the year 1848.
Professor Bullock.
7 Graduates. Total 7.

 

[p. 54]

ECONOMICS 14

  1. What significant analyses of economic structure and functions were made by the mercantilists?
  1. Discuss the development of economic opinions as reflected in the writings of Hales, Bodin, Montchrétien, Mun, Petty, Boisguilbert, Cantillon, Vanderlint, and Hume.
  1. Explain the structure and purpose of the “Wealth of Nations,” and give a brief analysis of the doctrines of the first two books.
  1. Discuss the treatment of the subject of population by Aristotle, the Schoolmen, Cantillon, Smith, and Malthus.
  1. At what points did the economic theories of Ricardo differ from those of Adam Smith?

 

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Economics 16. The History of Modern Socialism.
Asst. Professor Rappard.
4 Graduates Total 4.

 

[p. 54-5]

ECONOMICS 16

  1. Fill out the blanks in the following table according to the Marxian phraseology and theory.
Con-stant capital Vari-able capital Rate of surplus value Capital con-sumed Indi-vidual rate of profit Value of commo-dities pro-duced Cost price of commodities prod-uced Average rate of profit Price of com-modities Deviation of price from value
90 10 50% 20
80 20 50% 10
70 30 50%
  1. “The theory of value which Marx presents is a variation of the familiar labor-value doctrine.” Discuss.
  1. State the Marxian theory of rent.
  1. What is meant by the Bernstein-Kautsky controversy? State three of the principal points involved, with the arguments advanced on both sides.
  1. What, according to Skelton, are the distinctive features of Utopianism? How does Shelton classify the Utopian doctrines?
    What, according to Skelton, are the two “quite distinct interpretations” of which the Marxian materialist conception of history is susceptible?
  1. “In spite of himself, Marx was the last of the classical economists.” How does Shelton justify this assertion?
  1. “Had the third volume of ‘Capital’ appeared at the same time as the first, little would have been heard about ‘exploitation’ from socialist platforms.” Why not, according to Skelton?

 

________________________________________

 

Economics 23. Economic History of Europe to the Middle of the Eighteenth Century.
Dr. Gray.
4 Graduates, 1 Radcliffe. Total 5.

 

[p. 55]

ECONOMICS 23

  1. Discuss the origin and early expansion of capital in Italy, the Low Countries, Germany and England. (One hour.)
  1. Compare the development of copyhold in England with that of Meierrecht in Germany. In what way were agrarian conditions in southwestern Germany different from conditions in the north-west at the beginning of the sixteenth century.
  1. Trace the growth of the mercantile system in England. Has Cunningham’s treatment any bias? Explain.
  1. Describe fully four of the following documents: —

Notularium Johannis Scribae.
An English Pipe Roll.
Royal licenses to export English wool in 1273.
De institutis Lundonie.
Chrysobullium Alexii I.

 

________________________________________

 

Economics 31. Public Finance.
Professor Bullock.
6 Graduates, 1 Junior. Total 7.

 

[p. 55-6]

ECONOMICS 31

  1. How far does the present British system of taxation conform to the maxims of Adam Smith?
  1. How far does the present French system of taxation conform to Smith’s maxims?
  1. How far does the present Prussian system of taxation conform to Smith’s maxims?
  1. How far would the single tax on land values conform to Smith’s maxims?
  1. Compare the general property tax in Switzerland with the same tax in the United States.
  1. What changes in the general property tax have occurred in the United States in recent years?
  1. Discuss fully the opinions of Leroy-Beaulieu or Eheberg concerning the income tax.
  1. Discuss fully the opinions of Leroy-Beaulieu or Eheberg concerning the inheritance tax.

 

________________________________________

Economics 32 2hf. Economics of Agriculture, with special reference to American conditions.
Professor Carver.
8 Graduates, 2 Seniors, 1 Junior. Total 11.

 

[p. 56]

ECONOMICS 32

  1. What are some of the larger characteristics which distinguish rural from urban life?
  1. Where would you draw the line between large scale and medium scale, and between medium scale and small scale farming, and what are the principal advantages and disadvantages of each?
  1. Exactly what is the distinction between intensive and extensive farming, and what are the advantages and disadvantages of each?
  1. To what system of culture does the horse as a draft animal belong, and what are some of the characteristics of that system?
  1. Where do we find the larger percentage of tenancy in this country, where land is highly productive or where its productivity is low? How would you explain the situation?
  1. Give your ideas as to the function of the middle-man, and to what extent and how that function may be performed by the farmers themselves.
  1. What are the advantages of diversified farming as compared with specialized farming?
  1. Give your ideas as to how country life may be made more attractive to men and women of education and culture.

________________________________________

Sources:

Harvard University Examinations. Papers set for final examinations in history, history of science, government, economics, philosophy, social ethics, education, fine arts, music in Harvard College. June, 1913. Cambridge, MA.

Harvard University. Reports of the President and the Treasurer of Harvard College, 1912-13, pp. 57-58.

 

 

Categories
Columbia Economists Exam Questions

Columbia. History of Economics Exams. J.M. Clark, 1949-51

The successor to Wesley Clair Mitchell in teaching the history of types of economic theory at Columbia University was John Maurice Clark, the son of John Bates Clark. Because of the identical course descriptions printed in the official University Announcement, I figure it is reasonable transcribing the final exams for the Winter and Spring sessions from two different academic years (the only ones I was able to find for the courses, Econ 115 and 116, respectively). John Maurice Clark was a pack rat, but not a model of consistent filing, so there may be other copies to be found in his papers.

In a handwritten class list for Econ 115 (Fall, 1950) one finds 43 names of attendee–with grades noted for 26 of them. The grade distribution of those 26 students was: A (2), A- (6), B+ (5), B (6), B- (3), C+ (1), C (3). Of more than passing interest for historians of economics is that the author of Economic Theory in Retrospect, Mark Blaug, only received a grade of B minus (rank 22 of 26 graded)! Evidence for the slope of Blaug’s learning curve is seen in his grade for Econ 116 in 1951 where he received an A minus. The only other name I immediately recognize from the list was the later Library of Congress specialist on socialist economies, John P. Hardt (Ph.D., 1954). Hardt’s name will long be associated with the green volumes of Joint Economic Committee reports on the economies of China, USSR, and Eastern Europe) with “(vet)” noted after his name but without a grade.

____________________________

Course Announcement

Economics 115-116—Formative types of economic theory. 3 points each session. Professor Clark.
M. W. 12. [310 Fayerweather in Spring session; 1948/49 in 313 Fayerweather for Winter session, 1950/51]

Readings and critical discussion of outstanding examples of the parent stock of classical economics, with some regard to historical setting, and of subsequent outstanding contributions.

Source: Columbia University. Announcement of the Faculty of Political Science. Winter and Spring Sessions (1948-1949 and 1950-1951).

____________________________

Economics 115
Final Examination
January, 1951

Answer any two questions, taking about the time for the actual writing that a regular examination would take. Those who do the work during Christmas holidays will please return papers January 8; others Friday, January 26, unless otherwise specified.

—————–

  1. Do the views of ancient writers (Hebrew, Greek or Roman) afford the same kind of evidence as the writings of modern economists as to economic conditions and practices of their time?
  2. Discuss extent of applicability of medieval doctrine on price; variations or relaxations; and how far the doctrine was effective in practice.
  3. Explain and appraise Quesnay’s “Tableau Economique”.
  4. State key doctrines of the Physiocrats and indicate how they could be regarded as adaptations to an historical situation.
  5. Compare views of Smith and Ricardo on the relation of labor to value.
  6. Compare treatment of rent in Smith, Malthus and Ricardo.
  7. On what grounds did Adam Smith sanction departures from laissez-faire?
  8. Topic: dominant conceptions of what economic activity is for. Compare the dominant conception (or at most a few dominant conceptions) of as many of the following as you feel you can reasonably cover: typical Mercantilists, Physiocrats, Ricardo, John Stuart Mill.
  9. What does Bentham’s theory contribute to the basic rationale of economics, aside from his ideas on economic matters themselves? (Book V. of J. S. Mill’s “Principles of Political Economy” might contain hints.)
  10. State doctrines of Ricardo which had roots in historical conditions of the time, and indicate the connections.
  11. Compare Ricardo’s treatment of value with either Adam Smith’s or John Stuart Mill’s.
  12. What were the sources of J. S. Mill’s departure from strict Ricardianism?

Source: John M. Clark Papers. Columbia University Libraries. Manuscript Collections. Box 24, Courses: Misc.

____________________________

ECONOMICS 116
Final examination
May, 1949

Answer two questions from the following list:

  1. If things do not exchange in proportion to their labor cost, in what sense does labor cost govern value, under the labor theory? Discuss
  2. Discuss the proper relation between historical and theoretical materials in the equipment of an economist.
  3. (a) What is the meaning of “utility”?
    (b) What difference does it make whether economic theory can or cannot make “interpersonal comparisons” of utility?
  4. State some form of theory of the relation of marginal utility to price. Is this a tautological truth? Approximately true or true with qualifications? Inaccurate enough to be misleading? Discuss.
  5. Define the meaning of marginal productivity as a basis for the division between labor and capital in industry. How, if at all, does it apply to added labor in a plant working below capacity?
  6. How does Marshall treat the problem of differences between different producers and their costs of production, in his theory of value? Compare treatment of same problem in Chamberlin and/or J. B. Clark.
  7. Compare Marshall and Chamberlin as to treatment of the element of time in normal price.
  8. Define various types of welfare economics. Select one and indicate the key problems and difficulties, and methods of dealing with them.
  9. Analyze the logic of the difference between J. B Clark and Veblen as to what are the normal tendencies of a system of business enterprise.
  10. Formulate some other significant question on the material covered in the course, and answer it.

Source: John M. Clark Papers. Columbia University Libraries. Manuscript Collections. Box 35, History of Economic Thought; Folder (tab torn) “??—Cameral. epoch.”

Image Source: Portrait of John Maurice Clark from the collection of portraits of economists presented in 1997 as a gift to the Department of Economics of Duke University by Professor Warren J. Samuels of Michigan State University. Free use of these portraits in Web documents, and for other educational purposes, is encouraged: users are requested to acknowledge that the images come from The Warren J. Samuels Portrait Collection at Duke University.

 

 

 

 

Categories
Bibliography Exam Questions Harvard Suggested Reading

Harvard. U.S. history for economics graduate students. F. J. Turner, 1912

The object of the “general examination” for Harvard Economics Ph.D. students in 1911-1912 was “to ascertain the applicant’s attainments within a considerable range of subjects in the field of History, Political Science, or Economics.” The ordinary case would be that Ph.D. students would be “be examined in six subjects in all, chosen from the groups defined below under the respective departments of study” but not to include the subject of a student’s “special field” that would be subject to a second examination.

“Of the six subjects, at least one must be taken from each of the groups A, B, C, and D, the first three of these groups being purely economic, while the fourth, more general in character, is intended to secure a somewhat broader basis of preparation. In all cases at least one of the subjects chosen must be historical in character, either economic history under group B or one of the historical fields defined under Group D.”

Of the seven topics listed in Group D, one was the “History of American Institutions.” In 1912 the economics chairman, Professor Charles J. Bullock asked colleagues for reading lists to provide students preparing for their degree examinations.  The historian Frederick Jackson Turner responded with the following list. In the same folder there is a list of Ph. D. examination questions for U. S. history that is undated but most likely from that time as well (1912).

__________________________________

153 Brattle St
Cambridge, June 14, 1912

 

Professor C. J. Bullock,
Harvard University

 

My dear Bullock,

I suggest the following list in reply to your letter asking for books suitable for preparation for the examination of one of your graduates in Economics. I omit economic aspects in my list, as I take it these are covered by other lists.

For a general view he should read

either

A. B. Hart (ed) Epochs of Am. Hist.—3 vols.

or

Encyclopaedia Britannica, art. U. S.—history, 11th ed.

or

Cambridge Modern History, VII (U.S.)

 

He should read more extensively in standard histories. One of the following groups would seem reasonable:

A. Select ten volumes from:

E. Channing, History of U. S. (2 vols. out)

J.  Schouler,   History of U. S.

J. F. Rhodes, History of U. S.

or B. Select fifteen volumes from:

A. B. Hart (editor) Am. Nation Series, e.g. vols. 10-19, 21-25. The colonial period and the civil war could, in this case, be supplied by reading C. M. Andrews, The Colonial Period (in press, H. Holt) and F. L. Parson, The Civil War, both of the above being little books in the Home University Library. Of course it would be better to read Channing, or Osgood (Am. Colonies, 3 vols.)

 

or C. Select ten volumes of Am. Nation Series and ten volumes of the following:

American Statesmen Series:

Washington, Hamilton, Jefferson, Clay (2 vols.), Calhoun, Lincoln, Chase, Blaine; and T. Burton, John Sherman, A. Johnson, Douglas, R. G. Thwaites, D. Boone.

 

On political institutions and diplomacy:

J. Bryce, American Commonwealth (last edn)
E. Stanwood, Presidency
A. Johnston, American Politics
C. A. Beard, American Government and Politics
McClain’s or Boyd’s Cases on Constitutional Law
H.W. Rogers (editor) Constitutional History (“Michigan Law Lectures”

J. B. Moore, American Diplomacy
or J. W. Foster, Century of American Diplomacy

A.B. Hart, Foundations of American Foreign Policy
or A. C. Coolidge, U. S. as a World Power

In general I should say that the candidate should possess a good general knowledge of the narrative American History; a clear understanding of the history of political parties and issues, including the most important constitutional questions, leading cases, etc.; a firm hold on the history of the development of the significant political institutions; a good working knowledge of the main problems of our foreign relations; and a well considered and well based estimate of the work and characteristics of the leading statesmen. (Of course such economic history as lands, tariff, internal improvement, banking, and currency and finance are otherwise provided for.)

It is not unlikely that you may conclude that the above list is either too extensive or too limited for the purpose in hand. In that case use your judgment.

Sincerely yours,

[signed]

Frederick J. Turner

__________________________________

Ph. D. Examination in American History since 1789.

  1. Of what officers was Washington’s first cabinet composed? Is the cabinet provided for in the constitution? When and under what circumstances have additions been made to it? What are its powers? What books treat of its history?
  2. What are the principal periods and steps in the development of the speakership of the House of Representatives? Name and characterize the four greatest speakers. Give a list of secondary sources useful on this topic.
  3. Could a political party which held the Presidency and Congress procure a repeal of decision of the supreme court obnoxious to it, as for example the income tax decision of 1895, if the Democrats had won? How could this be done, if it could be done? On what occasions would a dominant party have been tempted to make use of such a power if it existed?
  4. What were the most important legislative policies of the following men: Henry Clay, Thomas H. Benton, John C. Calhoun?
  5. Ought Stephen A. Douglas’s biography to be included in the American Statesmen series? Why?
  6. What were the significant policies of the Democratic party 1830-1850, and who were the leaders of the party?
  7. Was the Mexican war an unjust war? What is its significance in American history? Authorities on the question.
  8. Discuss Thaddeus Stevens as an American Statesman? Was his reconstruction policy wise? How far was it put in operation? How did Lincoln’s and Johnson’s reconstruction policy differ from each other? What were the most enduring results of the legislative and constitutional enactments constituting reconstruction?
  9. Briefly explain the following leading cases: Hylton v. U.S.; Prize cases; Marbury v. Madison; Fletcher v. Peck; Cohens v. Virginia?
  10. Sketch three important incidents showing the influence of sectionalism in American history, selecting one from each of these periods: 1789-1815; 1815-1835, 1870-1896.
  11. What is the best “help” in finding “congressional documents” for the purposes of American history? What are the primary sources for debates in House and Senate 1789-1820?

 

Source: Harvard University Archives. Department of Economics, Correspondence & Papers, 1902-1950 (UAV 349.10), Box 25, Folder “Suggested Readings”.

Image Source: Harvard Album, 1916.

 

Categories
Chicago Courses Exam Questions

Columbia. Exam Questions for Econ 110. J. M. Clark, 1934

The course exam transcribed below would appear to correspond to John Maurice Clark’s course Economics 110 (Dynamics of value and distribution) which was offered in the Spring Session rather than Clark’s course Economics 109—Foundations of Social Economics which was offered in the Winter Session. Milton Friedman’s own notecards show that he did in fact attend Economics 109, but the content of the course as seen in Friedman’s notes is not reflected in the questions in the exam below. The handwritten note by Friedman identifying the exam as coming from  John Maurice Clark’s course “Social Economics” (i.e. Economics 109) and dated May 1934 is clearly incorrect. Examine the course description for Economics 110 to see if you agree.

___________________________

[COURSE DESCRIPTION]

Economics 110—Dynamics of value and distribution. 3 points Spring Session. Professor J. M. Clark. M. and W. at 2:10. 401 Fayerweather.

The functions of value and price; the dynamics of supply and demand for commodities and factors of production; the institution of competition; social vs. competitive schemes of distribution; value and expenses of production; expenses and ultimate costs of production; cumulative vs. self-limiting changes; the level of prices; economic rhythms.

Source: Columbia University Bulletin of Information, Thirty-third series, No. 26 (March 25, 1933). Courses offered by the faculty of Political Science for Winter and Spring Sessions 1933-1934. page 26.

___________________________

[Examination Questions for J. M. Clark’s Economics 110, Spring Term 1934.]

[Friedman’s handwritten note]
Exam in J. M. Clark’s course “Social Economics”, May 1934 [sic]

 

Answer three questions.

I.   Discuss the problem of the general characteristics of the supply-schedule for savings.

II.  Discuss whether the only geographical price-structure consistent with competition is one in which each producer sells at a price or prices which yield him a uniform amount at the point of production, the more distant purchasers paying the additional costs of transportation (Potter’s mill-base price.)

III. How would you draw the line between monopoly limited by substitution, and competition?

IV.  Discuss why competition between two or three large producers requires a different theoretical analysis from that which describes “pure competition” and why no single definitive answer to this problem has been found.

V.   Would you recommend further shortening of standard hours of labor per week, with wages per hour raised to give the worker not less than his former weekly earnings, as a means of stimulating business activity through increased purchasing power?

VI.  Can a cumulative increase in business activity be expected as a result of increased government spending during a depressions: (a) financed by borrowing, (b) financed by a sales tax? Could there be such an increase in physical volume of production and employment, or only in physical volume of business?

VI. B. (May be substituted for VI., but not both answered)
Under what conditions may an increase in expenditure for a given commodity have a cumulative effect in increasing the general volume of production; and under what conditions will it not have such an effect?

Source: Milton Friedman Papers, Hoover institution Archives, Box No. 115, Folder 13 (Biographical: Class Exams circa 1932-1938).

Image Source: Wikpedia.

 

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Bibliography Courses Economists Exam Questions Harvard Suggested Reading Syllabus Uncategorized

Harvard. Econ 113b. Schumpeter’s Grad Course on the History of Economics. 1940.

___________________________

Joseph Schumpeter offered this one semester, second term graduate course “History and Literature of Economics since 1776” nine times during the period 1940-1949. The core readings were basically unchanged. Below you will find the course enrollment figures and the reading list for 1940 (into which I have inserted the two additions from the reading list for 1941). Exam questions from 1940 and 1941 are included as well as an important research tip at the bottom of the posting. Nobel Laureates James Tobin and Robert Solow took this course in 1940 and 1947, respectively. I have gone to the trouble of providing links to almost the entire reading list as a public service to the history of economics community of scholars.

The (much reduced) reading list for the last time Schumpeter taught the course, Spring 1949 is transcribed in a later post.

___________________________

If you find this posting interesting, here is the complete list of “artifacts” from the history of economics I have assembled. You can subscribe to Economics in the Rear-View Mirror below. There is also an opportunity for comment following each posting….

___________________________

[Course Description: History and Literature of Economics since 1776]

Course work will mainly consist in critical study of the leading English, French, German and Italian contributions to economic thought in the nineteenth century. An introductory and a concluding series of lectures and discussions will provide the links with earlier and modern developments. Undergraduates who have passed Ec A are admitted without individual permission

Source: Joseph Schumpeter Papers, Harvard University Archives, HUG (FP) 4.62. Box 10 “Lecture Notes”, Folder “Ec 113, 1941”.

___________________________

Course Enrollment Statistics:

Grad. Students Seniors Juniors Radcliffe Other Total
1939-40 9 3 1 0 3 16
1940-41 11 2 0 3 1 17
1941-42 5 1 0 4 1 12
1942-43 10 3 0 6 3 22
1943-44 2 1 0 3 3 9
1944-45 Not offered
1945-46 18 2 5 25
1946-47 21 1 0 6 7 35
1947-48 17 4 0 2 7 30
1948-49 2 1 0 0 1 4

Note: The course number was Economics 113b until the academic year 1947-48, under the new course numbering system in 1948-49, it became Economics 213b. Joseph Schumpeter died in January 1950.

Source: Harvard/Radcliffe Online Historical Reference Shelf. Harvard President’s Reports.

___________________________

Economics 113b
[History and Literature of Economics since 1776]
1939-40
[second term]

 

I. For general reference you should currently consult:

Erich Roll, A History of Economic Thought (1939, [link to 1945 edition]), or
L. H. Haney, History of Economic Thought (1927).[1923 revised edition]

Suggestions:

John M. Keynes, Essays in Biography (Essays on Malthus, Marshall and Edgeworth).

 

II. Works dealing with the history of individual doctrines or problems. No assignment.

Suggestions:

E. Boehm-Bawerk, Capital and Interest, Vol. I.
E. Cannan, Theories of Production and Distribution (1924). [2nd ed., 1903]
F. W. Taussig, Wages and Capital (1896).
J. Viner, Studies in the Theory of International Trade (1937), Chs. I and II.
K. Marx, Theorien über den Mehrwehrt (1921). [1910 edition by Karl Kautsky: vol I, vol. II(1), vol. II(2), vol. III.]

 

III. This course covers many authors whose teaching is also dealt with in other courses and whose works are more or less familiar to every student. The most important of them are:

Adam Smith, Wealth of Nations, also read the introduction to Cannan’s edition.
David Ricardo, Principles of Political Economy.
John Stuart Mill, Principles of Political Economy; also read introduction to Ashley’s edition.
Alfred Marshall, Principles of Economics, particularly Book V.
John B. Clark, Distribution of Wealth (1899).

Suggestions:

Augustin Cournot, Principles of the Theory of Wealth (Fisher’s edition, 1927).
Léon Walras, Element d’économie pure (edition definitive, 1926).
Knut Wicksell, Lectures on Political Economy (Robbins’ edition, 1934). [volume I, volume II]

 

IV. In addition, the following books should be read, at least cursorily:

Richard Cantillon, Essai sur la nature du commerce en général (1755); English translation by Higgs (1931).
David Hume, Political Discourses (edition by Green and Grose, 1875), Vol. I. [Miller edition]
Sir James Steuart, Principles of Political Economy (1767). [Vol I (1767); Vol II ]
A. R. J. Turgot, Réflexions sur la Formation et la Distribution des Richesses (1766), (Oeuvres, ed. Daire, 1844). Vol I; Vol II.
Thomas R. Malthus, Essay on the Principle of Population (1798). [1803 edition, enlarged]
Jean B. Say, Traité d’économie politique (1803). [2nd ed. 1814] [1855 English translation from 4th and 5th editions]
William N. Senior, Outline of the Science of Political Economy (1836).
William St. Jevons, Theory of Political Economy (1871).
J. E. Cairnes, Leading Principles.
Karl Marx, first volume of Das Kapital (English translation).

Suggestions:

J. H. v. Thünen, Der isolierte Staat (ed. Waentig, 1930).
R. Auspitz und R. Lieben, Untersuchungen über die Theorie des Preises (1888), (also translation into French). [Vol. I (French); Vol. II (French)]
Carl Menger, Grundsätze der Volkswirtschaftslehre (London School reprints, 1934). [English translation with introduction by F. A. Hayek]
F. Y. Edgeworth, Mathematical Psychics (London School reprints, 1932).
M. Longfield, Lectures on Political Economy (London School reprints, 1931).
H. C. Carey, The Past, the Present and the Future (1848).
H. George, Progress and Poverty (1879).
S. Newcomb, Principles of Political Economy (1885).
Ph. Wicksteed, The Commonsense of Political Economy (1908).

 

V. Monographs on individual authors. No assignments.

Suggestions:

[Addition to list in 1940-41: Henry Higgs, The Physiocrats (1897)]
W. R. Scott, Adam Smith as Student and Professor (1937).
J. Rae, Life of Adam Smith (1895).
J. Bonar, Malthus and his Work (1924). [1885 ed.]
M. Bowley, Nassau Senior and Classical Economics (1937).
F. Mehring, Karl Marx (1936).
J. R. Hicks, Leon Walras (Econometrica, 1934).
[Addition to list in 1940-41: H. W. Jevons and H. S. Jevons, “William S. Jevons,” Econometrica]

Source: Syllabi, course outlines and reading lists in Economics, 1895-2003. Harvard University Archives, HUC 8522.2.1. Box 2, Folder “1939-40, 2 of (2)” and Folder “1940-41”.

___________________________

1939-1940
HARVARD UNIVERSITY
ECONOMICS 113b2

Answer any FOUR out of the following five questions:

  1. Discuss the wage-fund theory and its practical implications. In what sense was it resuscitated by Boehm-Bawerk and Taussig?
  2. Exponents of the Labor-Quantity theory of value and exponents of the Marginal Utility theory of value have for decades tried to refute each other. What is the true relation between the two theories?
  3. State and criticize the Marxian theory of Surplus Value or of Exploitation.
  4. What do you think of the so-called Ricardian theory of rent?
  5. What are the main objections that were raised against the “Austrian school” during the early stages of its development?

Final. 1940

 

Source: Joseph Schumpeter Papers, Harvard University Archives, HUG (FP) 4.62. Box 10 “Lecture Notes”, Folder “Ec 113, 1941”.

___________________________

1940-1941
HARVARD UNIVERSITY
ECONOMICS 113b2

One question may be omitted. Arrange your answers in the order of the questions.

  1. If a layman, trying to make intellectual conversation, asked you what Adam Smith’s performance consisted in, what would you say?
  2. What was the importance, for the economic theory of its time, of Malthus’ Essay on Population?
  3. Explain the meaning and use of the theorem usually referred to as Say’s Law.
  4. What are the conditions that would have to be fulfilled in order to make the labor-quantity theory of value true?
  5. State and discuss Ricardo’s version of the so-called law of the falling rate of profit.
  6. Jevons, Walras and Menger no doubt felt that they had revolutionized economic theory. What did this revolution consist in and how important do you think it was?
  7. Under modern conditions, most producers have no use for any significant part of their products. Hence their subjective valuation of these products depends on what these products will exchange for, that is to say, on their prices. How, then, can we derive these prices from utility schedules of buyers and sellers without reasoning in a circle?

Final. 1941.

Source: Joseph Schumpeter Papers, Harvard University Archives, HUG (FP) 4.62. Box 10 “Lecture Notes”, Folder “Ec 113, 1941”.

___________________________

Research Tip: 75 pages of student notes taken by future Nobel Laureate James Tobin for Economics 113b2 of the 1939-40 academic year are available in the James Tobin Papers at the Yale University Library Manuscripts Collection, Group No. 1746, Box. No. 6 in one of the hard-bound volumes of Tobin’s notes from his Harvard courses.

Image SourceHarvard Album, 1943.

Categories
Bibliography Courses Exam Questions Harvard Syllabus

Harvard. Economic Theory II, Econ 202. Leontief, 1948-49

In a previous posting I provided the reading lists for the two term graduate course “Economic Theory I” , Economics 201, taught by Edward Chamberlin in 1947-48. “Economic Theory II”, Economics 202a and 202b, was taught by Wassily Leontief. Presuming a student who took both courses would have done this in consecutive years, I provide the course outlines, reading lists and the exam questions (only for Economics 202a) for the year 1948-49.

Leontief apparently did not get around to covering Part IV of Economics 202a in the Fall Term, since the entire section can be seen repeated for the first topic of the Spring term.

Besides Chamberlin’s course Economics 201 just mentioned. It is interesting to compare Leontief’s course with  that of Lloyd Metzler  and that of Milton Friedman at Chicago also in the same year.

__________________________

Economics 202a
Fall Term 1948-49

Economics 202a will cover the Theory of a Firm, the Theory of Individual Demand, Theory of Market Relationships, and introduce the basic concepts of the General Equilibrium Theory. 202b, as given in the Spring Term, will cover the Theory of Distribution (wages, capital and interest), profits), the Theory of General Equilibrium (Keynes), and introduce the basic concept of Welfare Economics and Economic Dynamics.

I.     Theory of a Firm

Costs; total, average, marginal.
Theory of the multiple plant firm.
Revenue; total, average, marginal.
Long and short run analysis
Supply under competitive and monopolistic conditions.
Production function, marginal productivity, increasing and decreasing returns.
Joint products.
Demand for factors of production.
Discontinuous relationships and non-marginal analysis.
Internal and external economies.
New invention and technological change.

Reading assignments:

Oscar Lange, “The Scope and Method of Economics,” Review of Economic Studies, Vol. XIII, (i), 1945-46, pp. 19-32.

E. A. G. Robinson, Structure of Competitive Industry, Chs. II, VII, VIII, pp. 14-35, 107-133.

Boulding, Economic Analysis, Part II, Chs. 18-26, pp. 375-595 (New edition: Chs. 20-26, pp. 419-552; Chs. 31, 32, pp. 669-733).

I. Fisher, “A Three-Dimensional Representation of the Factors of Production and Their Remuneration Marginally and Residually,” Econometrica, October, 1939.

George Stigler, “Production and Distribution in the Short Run,” Journal of Political Economy, 1939, pp. 305-327. Reprinted in Readings in the Theory of Income Distribution, pp. 119-142.

Joe S. Bain, The Economics of the Pacific Coast Petroleum Industry, Part I, Ch. V, pp. 84-114.

Lerner, Economics of Control, Chs. 15, 16, 17, pp. 174-211.

Chamberlin, “Proportionality, Divisibility, and Economies of Scale,” Quarterly Journal of Economics, February, 1948, pp. 229-262.

National Bureau of Economic Research, Cost Behavior and Price Policy, Ch. VII, pp. 142-169; Appendix C, pp. 321-329.

 

II.    Theory of the Household:

Theory of utility and indifference lines analysis.
Individual demand, prices and income.
Dependent and independent, competing and complementary, superior and inferior goods.
Measurability of utility.
“Marginal utility of money.”
Consumer surplus.
Interpersonal interdependence in consumers’ behavior.
Economic theory of index numbers.

Reading assignments:

Hicks, Value and Capital, Part I, Chs. I-III, pp. 1-54.

Boulding, Economic Analysis, Chs. 29, 30; pp. 636-685. (New edition, Chs. 33, 34; pp. 734-759).

 

III. Theory of Market Relationships:

Pure competition; individual and market supply and demand curves.
Stability of market equilibrium, statics and dynamics.
Monopoly and price discrimination.
Monopolistic competition.
Duopoly, oligopoly, bilateral monopoly, etc.
“Theory of games.”

Reading assignments:

Marshall, Principles of Political Economy [sic], Book V, Chs. III, V.

Chamberlin, The Theory of Monopolistic Competition, Chs. II, III, IV, and V.

Joan Robinson, The Economics of Imperfect Competition, Chs. 15 and 16.

Robert Triffin, Monopolistic Competition and the General Equilibrium Theory, Chs. I and II.

W. H. Nicholls, Imperfect Competition within Agricultural Industries, Ch. 18.

One of the following three articles:

Leonid Hurwicz, “The Theory of Economic Behavior,” American Economic Review, December, 1945, pp. 909-925.

Carl Kaysen, “A Revolution in Economic Theory?” The Review of Economic Studies, Vol. XIV (I), 1946-47, p. 1-15.

Jakob Marschak, “Theory of Games,” Journal of Political Economy, April, 1946, pp. 97-115.

 

IV.  Basic concepts of a general equilibrium theory:

Data and variables.
Price system and general interdependence.
Linear model of a general equilibrium system.

Reading assignments:

Lange, The Economic Theory of Socialism, pp. 65-72.

Cassel, The Theory of Social Economy, Vol. I, Ch. IV, pp. 134-155.

E. H. Phelps Brown, Framework of the Pricing System, in particular chapters dealing with general equilibrium theory.

___________________________

DEPARTMENT OF ECONOMICS
Reading Period Assignments
January 3—January 19, 1949

[…]

Economics 202: Howard S. Ellis, Editor, A Survey of Contemporary Economics, 1948, Ch. 1, Value and Distribution, by Bernard F. Haley; and Frank H. Knight, Risk, Uncertainty and Profit, Ch. III to X, incl.

[…]

___________________________

 

1948-49

HARVARD UNIVERSITY
ECONOMICS 202a
[Final Exam, first term]

Please write legibly

Answer four questions:

  1. Taking into account considerations suggested by Stigler in his article on “Production and Distribution in the Short Run,” describe the determination of the optimum investment in fixed equipment for a plant faced with a regular seasonal variation in output.
    Give an illustrative example.
  2. Given information about (a) changing factor prices, and (b) changing factor combinations used by an individual enterprise (operating under competitive conditions) over a certain period of time—
    explain under what conditions this information might definitely indicate the presence of genuine technological change as contrasted with passive adjustment to variable market conditions.
  3. Under what conditions could one measure the utility of alternative combinations of commodities consumed by an individual household?
    Describe in detail the process of measurement in the case where these conditions are satisfied.
  4. “A market characterized by duopolistic indeterminism can be stabilized through establishment of an official price ceiling enforced by some outside authority.” Comment.
  5. State what significant difference do you see between the theory of an individual firm as presented in Knight’s “Risk, Uncertainty and Profits” and the treatment of the same subject in the most recent literature as presented in Haley’s article on value and distribution in the “Survey of Contemporary Economics.”

Final. January, 1949.

___________________________

Economics 202b
Spring Term, 1949

Part I: General Equilibrium Theory and the Economics of Welfare

a.   Basic Concepts of a General Equilibrium Theory:

Data and variables. Price System and general interdependence. Linear model of a general equilibrium system.

Reading:

Lange, The Economic Theory of Socialism, pp. 65-72.

Cassel, The Theory of Social Economy, Vol. I, Ch. IV, pp. 134-155.

E. H. Phelps Brown, Framework of the Pricing System, in particular chapters dealing with general equilibrium theory.

Schultz, T. W.: Agriculture in an Unstable Economy, Ch. I, pp. 24-43, Ch. IV, pp. 134-153.

 

b. Economics of Welfare

Individual maximum and social welfare. Efficiency and distributive justice. Efficiency of the purely competitive system. Monopoly and economic welfare. External economies. Pricing and allocation for public enterprise.

Reading:

Hicks, J. R. : “The Foundation of Welfare Economics,” Economic Journal, December 1939, pp. 696-712.

Meade and Hitch: An Introduction to Economic Analysis and Policy, Part II, Chs. VI-VII, pp. 159-220.

Meade, J. E., and Fleming, J. M.: Price and Output Policy of State Enterprise,” Economic Journal, Vol. LIV, December 1944, pp. 321-339.

Coase, R. H.: “Note on Price and Output Policy,” Economic Journal, Vol. LV, April 1945, pp. 112-113.

 

Part II: The Theory of Distribution

 

[a. The Theory of Wages. Omitted this year.]

Demands for labor and methods of remuneration. Short run supply of labor, money and real wages. Theory of noncompetitive labor markets. Technological unemployment. Long run supply of labor and the theory of optimum population.

Reading:

Douglas, P. M.: The Theory of Wages, Ch. I, pp. 3-17; Ch. III, pp. 68-96.

Robinson, G. B. H.: Economic Fragments, “Wage Grumbles,” pp. 42-57, also reprinted in Readings in the Theory of Income Distribution.

Marx, Karl: Capital, Vol. I, Part IV, Ch. XV, pp. 405-422, 466-488.

Robbins, L.: “On the Elasticity of Demand for Income in Terms of Effort,” Economica, Vol. X, 1930, pp. 123-129.

 

b. Theory of Interest

Productivity of Capital. Expectations, risk, and uncertainty. Inventory speculation. Interest as cost and the demand for capital. Saving and the supply of capital. Monetary theory of interest. Theory of assets.

Reading:

Irving Fisher: The Theory of Interest, Chs. VII, VIII, IX, X, XI, XVI, XVII, and XVIII. 1930.

Readings in the Theory of Income Distribution (Blakiston, 1946)

F. Knight: “Capital and Interest,” pp. 384-417.

Keynes: “The Theory of the Rate of Interest,” pp. 418-424.

D. H. Robertson: “Mr. Keynes and the Rate of Interest,” pp. 425-460.

 

[c. Theory of Profits and of Rent. Omitted this year.]

Theory of residual income. Entrepreneurial function. “Normal Profits.”

Reading:

Beddy, James: Profits, Ch. X, “An Explanation of Profits,” pp. 216-266.

Crum, W. L: “Corporate Earnings on Invested Capital,” Harvard Business Review, XVI, 1938, pp. 336-350.

Kaldor, N.: “The Equilibrium of the Firm,” The Economic Journal, March 1934, pp. 60-76.

Robinson, Joan: Economics of Imperfect Competition, Ch. 8.

 

Part III: Capital and Economic Development

a. Capital and Income

National wealth: Stock and flow concepts. Dollar measures and physical measures. Capital and income. Capital in production. Depreciation and obsolescence. Period of production and the speed of turnover. The time shape of production and consumption process.

Reading:

Kuznets: “On Measurement of National Wealth,” Studies in Income and Wealth, Vol. 2, National Bureau of Economic Research, 1936, pp. 3-61.

Rae, John: New Principles of Political Economy, 1834, Chs. I-V.

Irving Fisher: Nature of Capital and Income, Chs. I, IV, V, XIV, XVII, Macmillan, 1906.

Kaldor: “Annual Survey of Economic Theory: The Recent Controversy on The Theory of Capital,” Econometrica, July 1937, pp. 201-233.

 

b. Economic Development and Accumulation of Capital

Statics and Dynamics. The general problem of economic growth. Saving, Investment and the growth of income. Acceleration principle. Technical change. Accumulation and employment.

Reading:

Bresciani-Turoni: “The Theory of Saving,” Economica; Part I, February 1936, pp. 1-23; Part II, May 1936, pp. 162-181.

Domar: Expansion and Employment,” American Economic Review, March 1947, pp. 34-55.

Schelling: “Capital Growth and Equilibrium,” American Economic Review, December 1947, pp. 864-876.

Harrod: “An Essay in Dynamic Theory,” Economic Journal, March 1939, pp. 14-33.

Pigou: Economic Progress in a Stable Economy,” Economica, August 1947, pp. 180-188.

Stern: “Capital Requirements in Progressive Economies,” Economica, August 1945, pp. 163-171.

A. Sweezy: “Secular Stagnation?” in Harris, Postwar Economic Problems, McGraw-Hill, New York, 1943, pp. 67-82.

Hansen: “Economic Progress and Declining Population Growth,” American Economic Review, March 1939, pp. 1-15.

 

Part IV: Keynesian Theory and Problems

a. Over-all outlines of the General Theory. Wage and price “stickiness.” Demand for money. Saving and “oversaving.” Multiplier principle.

Reading:

Lerner, A. P.: The Economics of Control, Chs. 21, 22, and 25.

Keynes, J. M.: General Theory of Employment, Interest and Money, Chs. 1, 2, 8, and 18.

Haberler, G.: Prosperity and Depression, Ch. 8.

 

Reading Period:

Schumpeter: Theory of Economic Development, Harvard University Press, 1936.

OR

Harrod, R. F.: Towards a Dynamic Economics, Macmillan, 1948.

___________________________

Sources:

Harvard University Archives. HUC 8522.2.1 Box 4, Folder: “Syllabi, course outlines and reading lists in Economics, 1948-1949 (2 of 2)

Wassily Leontief Papers, Harvard University Archives. HUG 4517.45, Box 2, Folder “Fall to Winter—202a ‘48-‘49”.

Image Source:  Harvard Album, 1949.

Categories
Chicago Courses Exam Questions Syllabus

Chicago. Price Theory. Econ 300A, Friedman. 1946.

The first cohort of students to receive their graduate price theory training from Milton Friedman during the autumn quarter of 1946 at the University of Chicago (Economics 300A ) included a future Nobel prize winner (James Buchanan), a future labor economist and Chicago/Princeton professor (Albert Rees), a future textbook author (Richard Leftwich, whose text incidentally was the text used in the early concentration freshman economics course I took at Yale in the Fall semester of 1969), and Army Air Corps Silver-Star recipient and the future head of C.I.A. Soviet economics research (Rush V. Greenslade).

Interestingly enough, Milton Friedman is listed as a member of the faculty in the Announcement for the Sessions of 1946-1947 but the courses 300A, B were not yet in included in the May 15, 1946 Announcements. The readings and basic structure of the course were slightly modified from the course he offered at Columbia in 1939-40.

_________________________________

[Course Description]

300A,B. Price Theory. A systematic study of the pricing of final products and factors of production under essentially stationary conditions. Covers both perfect competition and such imperfectly competitive conditions as monopolistic competition, oligopoly, and monopoly. 300A deals primarily with the pricing of final products; 300B, with the pricing of factors of production. Prereq: Econ 209 or equiv. and Econ 213 or equiv or consent of instructor.

300A. Aut: MWF 9:30; Win: MWF 10:30; Friedman.

300B. Win: MWF 9:30; Spr: MWF 9:30; Friedman.

 

Source:   University of Chicago, Announcements. Vol. XLVII, No. 4 (May 15, 1947), The College and the Divisions. Sessions of 1947-1948, p. 224.

_________________________________

Econ 300 A. Autumn Quarter [1946]
Record of Meetings

[Handwritten notes by Milton Friedman]

Wed Oct 2 Qualifying exam.
Fri Oct 4 a) Marshall a la Memorials, pp. 47, 86.
b) Defn of the economic problem[,] Economics
c) Distnctn betw. positive & normative
Mon Oct 7 Knight[‘]s fcns of econ organization
Wed Oct 9 [ditto] completed
Fri Oct 11 Reln betw wants & activities
Mon Oct 14 a) Initial discussion of d. c.
Wed Oct 16 [ditto] completed
b) [Initial discussn ] of s. c.
Fri Oct 18 No meeting (to be held later
Mon Oct 21 Equil of d & s.
Wed Oct 23 Elast. of Dem
Fri Oct 25 Elast completed & assumptns ind. demand
Mon Oct 28 Ass. and dem. c. completed; stat. d.c.
Wed Oct 30 Complete statistical demand curves
Fri Nov 1 Stochastic dem. curve. d.c. of ind cons. throu m. u.
Mon Nov 4 Eqn of ind cons; math & graph. demontratn
Wed Nov 6 Dervatn of d & eng curves
Fri Nov 8 Diff with utility theory
Mon Nov 11 Indiff curve theory
Wed Nov 13 [ditto]
Fri Nov 15 Examination
Mon Nov 18 Discussion of exam: Income vs. substitution effects
Wed Nov 20 Diff with indifference theory; dem curve for prod of an indiv prod.
Fri Nov 22 Dem curve for prod of ind prod; Econ of Ind firm
Mon Nov 25 Relat of cost curves of ind foirm to supply curve of industry
Wed Nov 27 (extra meeting to make up for Oct. 18)
Reading period
Mon Dec 9 Diff kinds of monopolistic conditions
Wed Dec 11
Fri Dec 13
Mon Dec 16
Wed Dec 18 examination
Fri Dec 20 examination

_________________________________

Qualifying Examination, Economics 300A
Autumn Quarter, 1946

1. Comment briefly on the following two sentences, taken from newspaper stories:

a. “Demand went up and therefore price went up.”

b. “Price went up and therefore demand declined.”

 

2. Indicate which of the following statements are true (T) and which false (F):

[T] If a one per cent increase in price will cause more than a one per cent reduction in amount demanded, the demand for the commodity is elastic.

[F] Cost of production affects price only through its effect on the rate of production.

[F] If production of a commodity is completely monopolized, and if the monopolist takes full advantage of his position, no changes in the cost of production will have any effect upon price.

[F] A fixed tax (say, a license tax of $10,000) would operate to increase the price at which a monopolist would make the largest net return (or largest net earnings).

[blank] An individual firm will undertake to equalize marginal revenue and marginal cost.

[F] An excise tax is likely to increase the price of a competitively produced commodity by the full amount of the tax.

[T] If price exceeds the competitive producer’s average expense it will therefore be advantageous for him to increase his rate of production.

[T] A monopoly will never operate at a price at which the demand of its product is inelastic.

 

_________________________________

[undated copy of a class handout, ca. 1946-47]

An arithmetical example of the effects of changes in tastes and the distribution of income on the distribution of commodities.

1. Descriptive data:

a. Population. There are three classes in the community—rich, middle-class, and poor. Their numbers are fixed throughout the example, but their incomes vary. The numbers and original family incomes are:

Rich: 1,000 families, $10,000 income

Middle-class: 10,000 families, $3,000 income

Poor: 1,000 families, $1,000 income

b. Commodities. There are two commodities: housing; and all other, which will be treated as a single commodity.

c. Tastes. In the original position the tastes of all income classes are identical. The tastes are described by the following schedules of marginal utilities, which, it will be noticed, follow the Bernoulli hypothesis. (It will be observed also that the analysis is independent of the measurability of utility. Marginal utilities are used only for simplicity of exposition. If the student will triple the marginal utilities for one income class and carry through the analysis, he will reach the same answers, assuming he does not make arithmetical mistakes.)

 

Housing

Other

Quantity

Marginal Utility Quantity

Marginal Utility

1

1.00 1

1.00

2

0.50 2

0.50

3

0.33 3

0.33

4

0.25 4

0.25

5

0.20 5

0.20

Additional values can be found for either schedule from the formula, marginal utility = 1/quantity.

 

2. The Original Distribution of Goods.

a. Each family will seek maximum utility, and this entails buying housing and other commodities in such quantities that

marginal utility of housing = marginal utility of other
  price of housing                                 price of other

In addition each family is faced by the budget limitation that the amount spent on housing plus the amount spent on other equal income.

b. We can construct a demand curve for (say) housing by (say) the poor, using arithmetical procedures.

i. First divide the marginal utilities of housing and other by their unit prices. Let these prices be $2 per unit and $1 per unit, respectively. We secure schedules:

Housing

Other

Quantity

Marginal Utility
Per Dollar
Quantity

Marginal Utility
Per Dollar

1

0.500 1

1.00

2

0.250 2

0.50

3

0.167 3

0.33

4

0.125 4

0.25

5

0.100 5

0.20

 

ii. Then find the combinations such that the marginal utility per dollar is equal. For example, 1 housing unit and 2 other units; 2 housing units and 4 other units. Only one of these many combinations meets our budget limitation, that the poor family spend $1,000. Continuing the table or the logic, the family will buy 250 housing units if the prices are as given.

iii. Carry this procedure through for all possible prices of housing and other, for each income class.

iv. Add the demand schedules so secured, compare with the given supplies, read off prices, and then the quantities received by each type of family.

v. Since steps iii and iv will require several years, it is more economical to take a course in sub-freshman algebra and proceed as follows:

c. Our two conditions of proportionality of marginal utilities to prices and the budget limitation can be written as

1/(q1p1) = 1/(q2p2)

q1p1 + q2p2 = R,

where q1 is the quantity of housing, p1 its price, the corresponding symbols with subscript 2 refer to other, and R is income.

We then proceed deftly as follows:

i. The demand curve for housing by a family is the quantity that will be purchased at various prices, so we wish to find how q1 varies with p1. If we substitute the proportionality-of-marginal-utilities equation into the budget equation, we secure

q1p1 + q1p1 = R,

or q1=R/(2p1).

By symmetry the same demand curve holds for other, using subscript 2.

ii. We now add up the demand curves of all families. The aggregate demand of the 1,000 rich families is

1,000 x 10,000/(2p1) = 5,000,000/p1

that of the middle class,

10,000 x 3,000/(2p1) = 15,000,000/p1

and that of the poor, starving families is

1,000 x 1,000/(2p1) = 500,000/p1.

iii. The fixed supply of both housing other is 205,000 units. The price is set where quantity supplied equals quantity demanded, i.e.,

205,000 = 20,500,000/ p1

so the price of housing (and of other) will be $100.

iv. And now by going back to demand curves, in i above, we can find the quantity each family secures of each commodity.

d. The final answers are:

i. The rich family secures $10,000/(2x$100) = 50 units of housing and 50 units of other.

ii. The middle class family secures $3,000/(2x$100) = 15 units of housing and 15 units of other.

iii. The poor family secures $1,000/(2x$100) = 5 units of housing and 5 units of other.

3. After the War: Larger Money Incomes and a More Equal Distribution of these Incomes.

a. Let us assume that after a highly successful war, this community now has the following income structure:

Rich: 1,000 families, $18,000 income

Middle-class: 10,000 families, $6,000 income

Poor: 1,000 families, $4,000 income

Thus the aggregate money income of the community has doubled, but is now more equally distributed by any reasonable measure.

b. We proceed to the solution exactly as before. Indeed nothing has changed but the incomes of individual families so we may use the same demand equations.

c. The final answers are:

i. The rich family secures 45 units of housing and 15 units of other.

ii. The middle-class family secures 15 units of housing and 15 units of other.

iii. The poor family secures 10 units of housing and 10 units of other.

The price per unit of either commodity has risen to $200.

4. Still After the War: The Rich get House-Conscious

a. For various reasons best left unexplored, the rich acquire a greater desire for housing. In terms of our example, the marginal utility of any quantity of housing doubles for them (so marginal utility = 2/q). We proceed as usual.

b. The final results are:

The price of a unit of housing soars to $214.63; that of a unit of other commodities crashes to $185.37.

i. The rich family secures 55.91 units of housing and 32.37 units of other commodities.

ii. The middle-class family secures 13.98 units of housing and 16.18 units of other commodities.

iii. The poor family secures 9.32 units of housing and 10.79 units of other commodities.

5. The Final Comparison

Original
Position

Greater Equality

Same Tastes

Rich-roof-ravenous

Housing

Rich

50,000 45,000

55,000

Middle-class

150,000 150,000

139,800

Poor

5,000 10,000

9,300

Other Commodities

Rich

50,000 45,000

32,400

Middle-class

150,000 150,000

161,800

Poor

5,000 10,000

10,800

_________________________________

MIDQUARTER EXAMINATION IN ECONOMICS 300A
Autumn, 1946

1. Descriptive data:

a. Population: a community consists of three classes—rich, middle-class, and poor. The numbers and family incomes are:

Rich: 1,000 families, $10,000 income per family.

Middle-class: 10,000 families, $3,000 income per family.

Poor: 1,000 families, $1,000 income per family.

b. Commodities: There are two commodities: housing and food, considered as single composite commodities.

c. Demand curves: All individuals in the community have the following demand curves:

h = I/(2 ph)

f = I/(2 pf)

where

h= number of housing units per time unit.

ph = price per housing unit.

f = number of food units per time unit.

pf = price per food unit.

I = income of the family per time unit.

d. Supplies available.

There are available 205,000 housing units, and 205,000 food units. These amounts are available regardless of price and cannot be increased in the period considered.

Questions:

Determine:

a. The aggregate demand curve for the entire community for (1) housing, (2) food.

b. The prices that will prevail, assuming a free market.

c. The quantity of food and housing consumed by a family of each class.

d. The elasticity of the market demand curve for each product at a quantity of 205,000 units.

 

2. Appraise the following quotation from A. C. Pigou: “Since elasticity measures variations in quantity (demanded or offered) divided by variations in a price, the elasticity of demand for anything will be seven times as large for seven similar demanders as it is for one.”

 

3. “As Sir R. Giffen has pointed out, rise in the price of bread makes so large a drain on the resources of the poorer laboring families and raises so much the marginal utility of money to them, that they are forced to curtail their consumption of meat and the more expensive farinaceous foods: and, bread being still the cheapest food which they can get and will take, they consume more, and not less of it.” Marshall, p. 132.

a. Give your own verbal explanation of how such a positively sloping demand schedule can arise.

b. Draw an indifference curve diagram that will display this phenomenon.

_________________________________

Final Examination for Economics 300A
Autumn, 1946
Part I

1. Define briefly the following terms:

a. Income elasticity of demand

b. Demand curve for the product of an individual firm

c. Supply curve

d. Marginal revenue

e. Cross elasticity of demand

f. Oligopoly

 

2. Discuss critically the following quotation from Stigler:

“The principle of an increasing Syx [the marginal rate of substitution of y for x] corresponds to the older theory of diminishing marginal utility of a commodity as its quantity increases. More precisely: if Syx is increasing, then the marginal utilities of y and x must be decreasing; if the marginal utilities of y and x are decreasing, then Syx is probably, but not necessarily, increasing.”

3. Assume that the demand curve for complete flashlights of a standardized type is known; that the case and bulb are produced separately from the batteries; that the cost of putting the batteries in the case can be neglected; that the number and type of batteries put in each flashlight is fixed and unchangeable; that the supply curves of (1) case and bulb assembly and (2) batteries are known; and that the markets for complete flashlights, case and bulb assemblies, and batteries are reasonably competitive.

a. Indicate how to derive the demand curve for batteries alone. Under what assumptions is this demand curve valid; and for what kinds of problems is it relevant?

b. Suppose the supply curve of case and bulb assembly shifts to the right (i.e., supply increases). What effect will this have on the price of batteries?

c. Under what conditions would you expect the derived demand curve for batteries to be extremely inelastic?

_________________________________

Final Examination for Economics 300A
Autumn, 1946
Part II

4. Statistical demand curves for fluid milk are derived by two different procedures.

(1) Data for a particular year for the 48 states of the United States are used to obtain a correlation equation expressing (a) the price of fluid milk in a state as a function of (b) per capita consumption of fluid milk in that state and (c) per capita income in that state.

(2) Data for a period of years for the United States are used to obtain a correlation equation expressing (a) the price of milk in the United States as a function of (b) the per capita consumption of fluid milk in the United States and (c) the per capita income in the United States.

Under what conditions, if any, would you expect the results to be identical? If the results are not identical, discuss the relative advantages and disadvantages of each. Indicate the conditions under which you would expect (1) to give a better estimate of “the” demand curve for milk and, the conditions under which you would expect (2) to give a better estimate. How, if at all, could one determine which set of conditions prevails.

5. “In conversations with gold mining engineers a phrase glibly and frequently repeated is ‘sweetening the ore.’ By this phrase reference is made to the practice of diverting production in profitable periods to the poorer ores and perhaps restricting output in the richer fields. Under this practice the better ores are preserved for periods in which mining costs have risen so that over a long period of time output can be held more steady. Contributing also to a policy of sweetening the ores is the reluctance of producers to install capital equipment in a period in which the tendency is for mining expenses to increase with the general advance of wages and living costs. By the time the equipment is installed it might be expected that wages and price levels would be adjusted to the increased price of gold.”

Discuss the wisdom of the policy described in this quotation from the point of view of the individual producer. Assume that the individual producer seeks to maximize the present net capital value of his mining properties. Discuss separately (a) the alleged policy of “diverting production in profitable periods to the poorer ores and perhaps restricting output in the richer fields”; (b) the alleged policy of postponing the installation of capital equipment.

6. Assume a change in the laws so that less stringent conditions are imposed for bankruptcy and reorganization in a particular field (say the production of steel). As a consequence, a number of steel firms reorganize, wiping out a large part of their bonded debt. What would you expect to be the short- and long-run effects of these events on (a) the output and prices of the reorganized firms; (b) the amount of investment in the industry; (c) the rate of interest paid by the industry for new loans; (d) the output and prices of the industry? In each case, give the basis for your answer.

_________________________________

Source: Hoover Institution Archive. Milton Friedman Papers, Box 76, Folder 9 University of Chicago Econ. 300A.

Image Source: Columbia University, Columbia 250 Celebrates Columbians Ahead of Their Time.

Categories
Courses Exam Questions Harvard Syllabus

Harvard. Intro to Mathematical Economics. Schumpeter, Leontief 1935-42

Graduate classes in Mathematical Economics (Econ 13b in 1934-35, Econ 104b in later years) were taught every second year by Edwin Biddle Wilson (1934-35, 1936-37, 1938-39, 1940-41, 1942-43). An introduction for undergraduates and graduates was offered by Joseph Schumpeter in 1934-35 (Econ 8a), but the course was taken over and offered for nearly a decade by Wassily Leontief (new course number beginning 1936-37, Econ 4a). In this posting you will find different scraps from the Schumpeter/Leontief course over the years.

 

____________________________

[Schumpeter’s exam questions (1934-35)]

[Note these exam questions are in the Ec11 Folder. Instructor: Schumpeter according to course catalogue]
[Introduction to the Mathematical Treatment of Economic Theory, 1934/35 academic year]

 

Ec 8a
Midyear Exam Febr 4th 1935

Answer at least three of the following questions:

  1. Define elasticity of demand, and deduce that demand function, which corresponds to a constant coefficient of elasticity.
  2. Let D be quantity demanded, p price, and D = a – bp the demand function. Assume there are no costs of production. Then the price p0 which will maximize monopoly-revenue is equal to one half of that price p1, at which D would vanish. Prove.
  3. A product P is being produced by two factors of production L and C. The production-function is P = bLkC1-k , b and k being constants. Calculate the marginal degrees of productivity of L and C, and show that remuneration of factors according to the marginal productivity principle will in this case just exhaust the product.
  4. In perfect competition equilibrium price is equal to marginal costs. Prove this proposition and work it out for the special case of the total cost function
    y = a + bx, y being total cost, x quantity produced, and a and b
  5. If y be the satisfaction which a person derives from an income x, and if we assume (following Bernoulli) that the increase of satisfaction which he derives from an addition of one per cent to his income, is the same whatever the amount of the income, we have dy/dx = constant/x.
    Find y. Should an income tax be proportional to income, or progressive or regressive, if Bernoulli’s hypothesis is assumed to be correct, and if the tax is to inflict equal sacrifice on everyone?

[Following derivation added in pencil]
{{p}_{1}}=\frac{a}{b}

\frac{dp}{dD}=-\frac{1}{b}

\frac{d\,\,Dp}{dp}=D+p\frac{dD}{dp}=

=a-bp-bp=a-2bp

\therefore p=\frac{a}{2b}

Source: Harvard University Archives. Joseph Schumpeter Lecture Notes HUC(FP)–4.62Box 9, Folder: “Ec 11 Fall 1935”.

 

Transcription of Schumpeter’s official typed version of the Economic 8a, 1934-35.

____________________________

[1935-36]

*Economics 8a 2hf. Introduction to the Mathematical Treatment of Economics
Half-course (second half-year). Mon. 4 to 6. Assistant Professor Leontief. [Course may be taken by either undergraduates or graduates for credit.]

Economics A [Principles of Economics] and Mathematics A, or their equivalents, are prerequisites for this course.

 

Source: Harvard University. Announcement of the Courses of Instruction Offered by the Faculty of Arts and Sciences for the Academic Year 1935-36 (2nd edition), p. 138.

____________________________

[Excerpt from undated lecture notes, in Folder “Introduction mathematical economics 1937”]

Intr. to Math. Ec.

Introduction

Math. Ec. Economics & Mathematics

I. The subject of m.e. and Economic Theory is the same.

MathEconVennDiagram

  1. Parts of Economics – non-quantitative in character.
  2. Parts of Economics—quantitative but can be handled without math symbols. (marg. cost [unclear word].
  3. Quantitative—of such complexity that it hardly can be handled without math. symbols (f. ex. general equilibrium distribution etc.)

Fundamental difference only in the method of handling.

Non-math economists “are mathematicians without knowing it”

 

II. Two application of math. in economics.

a) theory b) statistics

Difference in application of math to economic theory and f.ex. to physics: More general type of argument Instead of definite interrelation we have knowledge only of some characteristics.

Math economics is not imitation of physics.

 

III. Fundamental problem of math. ec.:

Translation of economic problems into mathematical terms and back. Math. economist must know economics and mathematics.

In math. econ. To formulate a problem means to solve it.

IV. The aim of this course is to

  1. teach you to apply math. to the analysis of theor. ec. problem.

Mostly we will dwell in “region 2” although some time we will advance into the “region 3”.

Main subjects.

Theory of value.

Theory of production.

  1. Procedure:

a) lecture on fundamental problem

b) Discussion of special applications

c) Solution of problems out of class.

3. Knowledge of math:

a) elementary algebra

b) elementary calculus

c) partial derivatives

Knowledge of ec.

Ec A [Principles of Economics].

4. Graphic analysis vs. calculus.

Graphic analysis is a summary which helps us to talk of.

 

V.  Literature

  1. Antoine A. Cournot (1801-1877).
    “Researches into the mathematical principles of the theory of wealth” (1838)

Léon Walras (1834-1910).
“Elements of pure political economy” (1874-1877)

Vilfredo Pareto (1848-1923)
“Cours d’Economie Politique” (1896)
“Manuale d’economiea politica” (1906)

  1. Irving Fisher
    “Mathematical Investigations in the Theory of value and prices” (1892)
    F. Y. Edgeworth (1845-1926)
    Alfred Marshall (1842-1924)  “Appendix to the Principles”

Italian School
“Econometrica”
“Review of Economic Studies”
etc.

  1. No good textbook

A. L. Bowley
“The Mathematical Groundwork of Economics”, 1924.

Evans
“Introduction into mathematical economics”.

Source: Harvard University Archives. Wassily Leontief Papers. HUG 4517.30, Box 5, Folder “Introduction to Mathematical Economics (notes)”.

____________________________

[Reading Period assignment: 1936, Leontief ]

Economics 8a: Evans, G. C., Mathematical Introduction to Economics, Chs. I and II.

 

Source: Harvard University Archives. Syllabi, course outlines and reading lists in Economics, 1895-2003. HUC 8522.2.1, Box 2, Folder “1935-1936”.

____________________________

[Course Final Exam 1936, Leontief]

[carbon copy]

1935-36

HARVARD UNIVERSITY
ECONOMICS 8a2

 

Answer THE FIRST and at least THREE of the subsequent questions:

  1. Discuss the relation between the cost function and the production function of a single enterprise.
  2. Prove that in the point where the average unit costs are the smallest, they are equal to the marginal costs.
  3. Given a total revenue curve, R = Aq –Bq2, and a total cost curve, C= K + Lq, find the monopoly output, the monopoly price and the net revenue of monopolist. (A, B, K, and L are constants.)
  4. Discuss Cournot’s analysis of competition between two monopolies (duopoly).
  5. Given the production function Z = x½ y½ find out whether the two factors x and y are complementary or competing.
  6. Derive the relation between factor prices and marginal productivities under conditions of free competition (fixed prices).

Final   1936

 

Source: Harvard University Archives. Wassily Leontief Papers. Box 5, Folder “(notes Introduction to Mathematical Economics”

____________________________

[Reading Period assignment: 1937, Leontief ]

 Economics 4a:

A. Cournot, Researches into Mathematical Economics.

Ch. IV, pp. 44-55;
Ch. V, pp. 56-61.
Ch. IX, pp. 99-107.

Source: Harvard University Archives. Syllabi, course outlines and reading lists in Economics, 1895-2003. HUC 8522.2.1, Box 2, Folder “1936-1937”.

____________________________

[Reading Period assignment: 1938, 1939, 1940, Leontief]

Economics 4a: Read the following

  1. Cournot, Researches into Mathematical Economics. Chs. IV, V, VII, VIII, IX.
  2. Evans, Mathematical Introduction to Economics, Ch. II.

Source: Harvard University Archives. Syllabi, course outlines and reading lists in Economics, 1895-2003. HUC 8522.2.1, Box 2, Folders “1937-1938”, “1938-39”, “1939-40”.

____________________________

[Course Outline, Leontief]

Economics 4a
1939-40
Introduction to the Mathematical Treatment of Economic Theory

 

Introductory remarks. The profit function and the profit tax. The cost function; total, fixed, variable, marginal and average costs. Minimum average total and minimum average variable costs. General properties and the cost function. Aggregate cost function of a multiple plant enterprise.

The revenue function, the demand function and the price. Marginal revenue and elasticity concept. Principle of dimensional transformation. Conditions for the existence of an individual supply function.

Introduction into the theory of the markets. Necessary and sufficient conditions for the existence of market supply and market supply functions. Competition and monopoly. Theory of discrimination.

Introduction into the study of the production function. Marginal productivity, increasing and diminishing returns. Complementary and competing factors. Principle of minimum costs. Cost function and production function.

Introduction into the theory of consumers behavior: Concept of the indifference varieties.

Introduction into the analysis of dynamic economies. The cobweb problem and basic equilibrium concepts.

Introduction into the theory of general interdependence. Data and variables, basic equations and unknowns.

 

Source: Harvard University Archives. Syllabi, course outlines and reading lists in Economics, 1895-2003. HUC 8522.2.1, Box 2, Folder “1939-1940”.

____________________________

[Course Outline, Leontief]

Economics 4a
1941-42 [also for 1942-43]

 

  1. Introductory remarks.
    The profit function.
    Maximizing profits.
  2. The cost functions: Total costs, fixed costs, variable costs, average costs, marginal costs, increasing and decreasing marginal costs.
    Minimizing average total and average variable costs.
  3. The revenue function.
    Price and marginal revenue.
    Demand function
    Elasticity and flexibility.
  4. Maximizing the net revenue (profits).
    Monopolistic maximum.
    Competitive maximum.
    Supply function.
  5. Joint costs and accounting methods of cost imputation.
    Multiple plants.
    Price discrimination.
  6. Production function.
    Marginal productivity.
    Increasing and decreasing productivity.
    Homogeneous and non-homogeneous production functions.
  7. Maximizing net revenue, second method.
    Minimizing costs for a fixed output.
    Marginal costs and marginal productivity.
  8. Introduction into the theory of consumers’ behavior.
    Indifference curves and the utility function.
  9. Introduction to the theory of the market.
    Concept of market equilibrium.
    Duopoly, bilateral monopoly.
    Pure competition.
  10. Cobweb problem.
  11. Introduction into the theory of general equilibrium.

 

Reading: R. G. D. Allen, Mathematical Analysis for Economists.

Evans, Introduction into Mathematical Economics.

Antoine Cournot, Researches into the Mathematical Principles of the Theory of Wealth.

Weekly problems.

Source: Harvard University Archives. Syllabi, course outlines and reading lists in Economics, 1895-2003. HUC 8522.2.1, Box 3, Folders “1941-1942”. “1942-1943 (1 of 2)”.

____________________________

[Reading Period assignment: 1942, Leontief]

 

Evans, Introduction into Mathematical Economics. Ch’s I, II, III

Antoine Cournot, Researches into the Mathematical Principles of the Theory of Wealth. pp. 44-55, 56-66, 99-107.

Econ. 4.[a]

 

Source: Harvard University Archives. Syllabi, course outlines and reading lists in Economics, 1895-2003. HUC 8522.2.1, Box 3, Folder “1941-1942”.

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Courses Exam Questions Harvard

Harvard. Advanced Economic Theory, Schumpeter, 1941-42

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______________________

According to the Presidential Report of Harvard University, in 1941-42 nine graduate students were enrolled in Joseph Schumpeter’s full-year course, Economics 103, Advanced Economic Theory. Reading lists and exam questions are provided here for both semesters.

 ________________________________

[Course Announcements 1941-42]

For Undergraduates and Graduates

The Courses for Undergraduates and Graduates, unless otherwise stated, are open only to students who have passed in Course A [Principles of Economics]

[…]

*Economics 1. Economic Theory

Mon., Wed., and (at the pleasure of the instructors) Fri., at 11. Professor Chamberlin, Dr. O. H. Taylor, and Associate Professor Leontief.

This course will be conducted mainly by discussion. It is open only to candidates for the degree with honors.

[…]

*Economics 103. Advanced Economic Theory

Tu., Th., and (at the pleasure of the instructor) Sat., at 10. Professor Schumpeter.

Economics 1, or an equivalent training, is a prerequisite for this course. It may be taken as a half-course in either half-year.

Source: Official Register of Harvard University, Vol. 38, No. 11 (March 19, 1941). Provisional Announcement of the the Courses of Instruction offered by the Faculty of Arts and Sciences during 1941-42, pp. 56-59.

________________________________

ECONOMICS 103
Program of Course and Reading List
1941-42

This course is to serve the two purposes, first, of a critical survey of “traditional” (Marshall-Wicksell) theory as improved by later work on the same lines; second, of an introduction into modern “dynamics” and into the problems arising out of the necessity of fitting theory to time-series material. The first purpose will be dominating in the work of the first, the second in the work of the second semester.

First Semester

 

I. Preliminaries. The nature of economic variables and equilibria. Various meanings of Stability. Structural and confluent relations. Statics and Dynamics vs. stationary and evolutionary states. Comparative Statics. One to two weeks.

No reading assignments.

II. Monetary and “real” processes. Aggregative Models. One to two weeks.

Keynes, General Theory.

Lange, “The rate of interest and the optimum propensity to consume,” Economica, February 1938.

III. The (traditional) theory of the individual household and the individual firm.

Rest of semester.

The background of this theory is Marshallian. Marshall’s Principles and Wicksell’s Lectures, Vol. I, should be thoroughly familiar to, and frequently referred to, by every student. No specific references will hence be made to them in what follows. In addition, general reference is here made to:

J. R. Hicks, Value and Capital.
E. H. Chamberlin, The Theory of Monopolistic Competition.

A. Walras’ static equilibrium relations. One week.

No additional reading (but refer to Wicksell and Hicks).

B. Statics of the family budget. Indifference maps. Engels curves. Two weeks.

Hicks, first part.
Frisch, New Methods of Measuring Marginal Utility (1932).
Suggestion: Allen and Bowley, Family Expenditure, 1935.

C. Statics of the individual firm. Production functions and isoquants. Cost calculation. Depreciation. The Marshallian supply curves. Two weeks.

Kaldor, “The Equilibrium of the Firm,” Economic Journal, 1934.
Machlup, “The Common Sense of the Elasticity of Substitution,” Review of Economic Studies, 1935.
Sraffa, “The Laws of Return under Competitive Conditions,” Economic Journal, 1926.
Robinson, “Imperfect Competition and Falling Supply Price,” Economic Journal, 1932.
Robinson, “What Is Perfect Competition?,” Quarterly Journal of Economics, 1934.
Viner, “Cost and Supply Curves,” Zeitschrift für Nationalökonomie, 1931.
Kahn, “Some Notes on Ideal Output,” Economic Journal, 1935.

D. Problems of monopolistic and oligopolistic price policy. Oligopoly and bilateral monopoly. Discrimination. Two weeks.

Hicks, “The Theory of Monopoly,” Econometrica, 1935.
Lerner, “The Concept and Measurement of Monopoly Power,” Review of Economic Studies, 1934.
Robinson, Economics of Imperfect Competition, Books II, IV, V.
Leontief, “The Theory of Limited and Unlimited Discrimination,” Quarterly Journal of Economics, 1934.

E. Locational Problems. One week.

Hotelling, “Stability in Competition,” Economic Journal, 1929.
Hoover, Location Theory and the Shoe and Leather Industries, Harvard Economic Studies, No. LV.

Reading Period Suggestion:

A. C. Pigou, Employment and Equilibrium, 1941.

Source: Harvard University Archives. HUG(FP)—4.62. Joseph Schumpeter Papers, Box 12, Folder: “Ec 103, Fall 1942”

________________________________

1941-42
Harvard University
Economics 103

Three questions may be omitted. Arrange your answers in the order of the questions.

  1. Define the nature of economic equilibria. Give examples of the various types of them. Distinguish between equilibrium, determinateness, and stability.
  2. Explain the difference between Dynamics and Comparative Statics. In what respects do you consider the first approach to be superior to the second?
  3. Keynes’ General Theory, as thrown into a system of equations by Oscar Lange, purports to give a model of the economic process. So does the system of equations written by Walras. What are the principal differences between the two and what do you think of their relative merits a) in general, b) with respect to particular set of problems?
  4. We have replaced the old concept of marginal utility by the concept of marginal rate of substitution. What were the reasons for this and what have we gained thereby?
  5. Define the surface of consumption and discuss the three curves which are traced out by the sections of that surface by planes perpendicular to the three axes.
  6. What is meant by elasticity of substitution? And what are the principal uses for this concept?
  7. Explain the nature of a linear production function that is homogeneous of the first degree and state the reasons why many economists are so partial to it. Should we, or should we not, make that particular assumption about the form of our production functions?
  8. In what sense is it time to say that, in framing a rational price policy, firms should take no account of overhead but only of marginal cost?

Mid-Year, 1942.

Source: Harvard University Archives, HUG(FP)-4.62. Joseph Schumpeter Papers, Box 4, Folder “Ec 103, Sp & Fall 41-42”.

________________________________

Economics 103
Program of Course and Reading List
1941-42
Second Semester

I

The work of this semester is, first, to complete the critical survey of “traditional” (Marshall-Wicksell) theory begun in the first semester; and to deal with modern “dynamics” and some of the problems arising out of the fact that economic theory is under the necessity of using time-series material. The general background will be supplied, as it has been in the first semester, by the following treatises to which no further reference will be made in this Reading List:

Alfred Marshall, Principles.
Knut Wicksell, Lectures, Vol. I.
Edward H. Chamberlin, Theory of Monopolistic Competition.
J. R. Hicks, Value and Capital.
J. M. Keynes, General Theory of Employment, Interest and Money.

II

Not assigned, nor necessary in order to fulfill course requirements, but suggested are the following works (this suggestion also covering the usual Reading Period assignments):

A. C. Pigou, Employment and Equilibrium, 1941.
Erik Lundberg, Studies in the Theory of Economic expansion, Stockholm Economic Studies, 1936).
J. Tinbergen, Statistic Testing of Business-Cycle Theories, II, Business Cycles in the United States of America: 1919-1932, League of Nations, Geneva, 1939. (This work, which may seem to be far removed from the field of pure theory, nevertheless constitutes a most important contributions to it.)

III

(1) Distinction between Dynamics and the Theory of Economic Development. Disturbances, Transitional States, and the Long-Run Normal. Economic Hysteresis and Walras Reaction. Microdynamic and Macrodynamic Models.

No reading assignments.

(2) Lagged Reaction. The Hog-Cycle Case. (Cobweb). Buyers reacting to current price, sellers reacting to a previous price. The case of durable goods; the shipbuilding cycle.

(Tinbergen: Ein Schiffbauzyklus? Weltwirtschaftliches Archiv, July, 1931, not assigned.)

(3) Other “dynamising” factors: reaction to current rate of change of price; reaction to weighted average of past prices. Friction. The Theory of Expectations.

N. Kaldor, “Speculation and Economic Stability,” Review of Economic Studies, October, 1939.
L. M. Lachmann, “Uncertainty and Liquidity Preference, “ Economica, August, 1937.
F. A. von Hayek, “Economics and Knowledge,” Economica, February, 1937.
F. Lavington, “An Approach to the Theory of Business Risks,” Economic Journal, June, 1925.

(4) Statistical Demand and Cost Curves.

Henry Schultz, Statistical Laws of Demand and Supply, 1928. (This will stand instead of the much more significant, but also much more difficult work of the same author: Theory and Measurement of Demand, 1940.
Joel Dean, The Relations of Cost to Output (National Bureau of Economic Research, Technical Paper No. 2, 19).

(5) Problems of Price Policy.

(See First-Semester Reading List, III/D.)

(6) Some Aspects of the Theory of Capital and interest.

G. Mackenroth, “Period of Production, Durability and the Rate of Interest,” Journal of Political Economy, December, 1930.
F. H. Knight, “Capital, Time, and the Interest Rate,” Economica, August, 1934.
F. Machlup, “Professor Knight and the Period of Production,” Journal of Political Economy, October, 1935.
John B. Canning, The Economics of Accountancy, 1929. (Chapter on Depreciation.)
Irving Fisher, The Theory of Interest, 1916.

(7) Some Macrodynamic Models

F. R. Harrod, “An Essay in Dynamic Theory,” Economic Journal, March, 1939.
N. Kaldor, “A Model of the Trade Cycle,” Economic Journal, March 1940.
M. Kalecki, “A Theory of the Business Cycle,” Review of Economic Studies, February, 1937. (Reprinted in Essays on the Theory of Economic Fluctuations.)
(R. Frisch, “Impulses and Propagation Waves,” Essays in Honor of Gustaf Cassel; technically difficult.)

Source: Harvard University Archives. HUG(FP)—4.62. Joseph Schumpeter Papers, Box 12, Folder: “Ec 103, Fall 1942”

________________________________

1941-42
Harvard University
Economics 103

Three questions may be omitted. Arrange your answers in the order of the questions.

  1. Consider the micro-dynamic model which is usually referred to as the “cobweb” pattern. Explain the commonsense of the underlying theory. Discuss its value in interpreting reality.
  2. A dynamic model may yield damped, stationary or anti-damped (explosive) solutions. Should we exclude the anti-damped ones on the ground that they are unrealistic because as a matter of fact economic patterns do not explode?
  3. In what sense can it be said that increasing returns are incompatible with perfect (pure) competition?
  4. Assume that the only purpose of the Practice of Depreciation is to allocate the costs of durable instruments of production among the periods of account (“years”) covered by the service life of those instruments. Given that purpose, what is the correct principle of figuring out the amount of depreciation?
  5. State the classical (Marshallian) theory of the influence of commodity speculation (trade in futures) on the time-shape of values (fluctuations in prices and in quantities sold). How does modern theory differ from that picture? What is your own opinion about the influence of speculation?
  6. Let a statistical demand curve be derived by plotting the prices of a commodity, divided by a wholesale price index, against the corresponding amounts of its per capita consumption. What do you think of such a procedure and how would you judge such a demand curve?
  7. If a firm owns several plants, how will it distribute a given amount of output among them?
  8. Show that, in the absence of further information, price is indeterminate in the case of Bilateral Monopoly.

Final, 1942.

Source: Harvard University Archives, HUG(FP)-4.62. Joseph Schumpeter Papers, Box 4, Folder “Ec 103, sp & Fall 41-42”.