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Columbia Economists

Columbia. History of Economics Department. Luncheon Talk by Arthur R. Burns, 1954

The main entry of this posting is a transcription of the historical overview of economics at Columbia provided by Professor Arthur R. Burns at a reunion luncheon for Columbia economics Ph.D. graduates [Note: Arthur Robert Burns was the “other” Arthur Burns of the Columbia University economics department, as opposed to Arthur F. Burns, who was the mentor/friend of Milton Friedman, chairman of the Council of Economic Advisers, chairman of the Board of Governors of the Fed, etc.]. He acknowledges his reliance on the definitive research of his colleague, Joseph Dorfman, that was published in the following year:

Joseph Dorfman, “The Department of Economics”, Chapt IX in R. Gordon Hoxie et al., A History of the Faculty of Political Science, Columbia University. New York: Columbia University Press, 1955.

The cost of the luncheon was $2.15 per person. 36 members of the economics faculty attended, who paid for themselves, and some 144 attending guests (includes about one hundred Columbia economics Ph.D.’s) had their lunches paid for by the university.

_____________________________

[LUNCHEON INVITATION LETTER]

Columbia University
in the City of New York
[New York 27, N.Y.]
FACULTY OF POLITICAL SCIENCE

March 25, 1954

 

Dear Doctor _________________

On behalf of the Department of Economics, I am writing to invite you to attend a Homecoming Luncheon of Columbia Ph.D.’s in Economics. This will be held on Saturday, May 29, at 12:30 sharp, in the Men’s Faculty Club, Morningside Drive and West 117th Street.

This Luncheon is planned as a part of Columbia University’s Bicentennial Celebration, of which, as you know, the theme is “Man’s Right to Knowledge and the free Use Thereof”. The date of May 29 is chosen in relation to the Bicentennial Conference on “National Policy for Economic Welfare at Home and Abroad” in which distinguished scholars and men of affairs from the United States and other countries will take part. The final session of this Conference, to be held at three p.m. on May 29 in McMillin Academic Theater, will have as its principal speaker our own Professor John Maurice Clark. The guests at the Luncheon are cordially invited to attend the afternoon meeting.

The Luncheon itself and brief after-luncheon speeches will be devoted to reunion, reminiscence and reacquaintance with the continuing work of the Department. At the close President Grayson Kirk will present medals on behalf of the University to the principal participants in the Bicentennial Conference.

We shall be happy to welcome to the Luncheon as guests of the University all of our Ph.D.’s, wherever their homes may be, who can arrange to be in New York on May 29. We very much hope you can be with us on that day. Please reply on the form below.

Cordially yours,

[signed]
Carter Goodrich
Chairman of the Committee

*   *   *   *   *   *

Professor Carter Goodrich
Box #22, Fayerweather Hall
Columbia University
New York 27, New York

I shall be glad…
I shall be unable… to attend the Homecoming Luncheon on May 29.

(signed) ___________

Note: Please reply promptly, not later than April 20 in the case of Ph.D.’s residing in the United States, and not later than May 5 in the case of others.

_____________________________

[INVITATION TO SESSION FOLLOWING LUNCHEON]

Columbia University
in the City of New York
[New York 27, N.Y.]
FACULTY OF POLITICAL SCIENCE

May 6, 1954

 

TO:                 Departments of History, Math. Stat., Public and Sociology
FROM:            Helen Harwell, secretary, Graduate Department of Economics

 

Will you please bring the following notice to the attention of the students in your Department:

            A feature of Columbia’s Bicentennial celebration will be a Conference on National Policy for Economic Welfare at Home and Abroad, to be held May 27, 28 and 29.

            The final session of the Conference will take place in McMillin Theatre at 3:00 p.m. on Saturday, May 29. The session topic is “Economic Welfare in a Free Society”. The program is:

Session paper.

John M. Clark, John Bates Clark Professor. Emeritus of Economics, Columbia University.

Discussants:

Frank H. Knight, Professor of Economics, University of Chicago
David E. Lilienthal, Industrial Consultant and Executive
Wilhelm Roepke, Professor of International Economics, Graduate Institute of International Studies, University of Geneva

 

Students in the Faculty of Political Science are cordially invited to attend this session and to bring their wives or husbands and friends who may be interested.

Tickets can be secured from Miss Helen Harwell, 505 Fayer.

_____________________________

[REMARKS BY PROFESSOR ARTHUR ROBERT BURNS]

Department of Economics Bicentennial Luncheon
May 29th, 1954

President Kirk, Ladies and Gentlemen: On behalf of the Department of Economics I welcome you all to celebrate Columbia’s completion of its first two hundred years as one of the great universities. We are gratified that so many distinguished guests have come, some from afar, to participate in the Conference on National Policy for Economic Welfare at Home and Abroad. We accept their presence as testimony of their esteem for the place of Columbia in the world of scholarship. Also, we welcome among us again many of the intellectual offspring of the department. We like to believe that the department is among their warmer memories. We also greet most pleasurably some past members of the department, namely Professors Vladimir G. Simkhovitch, Eugene Agger, Eveline M. Burns and Rexford Tugwell. Finally, but not least, we are pleased to have with us the administrative staff of the department who are ceaselessly ground between the oddity and irascibility of the faculty and the personal and academic tribulations of the students. Gertrude D. Stewart who is here is evidence that this burden can be graciously carried for thirty-five years without loss of charm or cheer.

We are today concerned with the place of economics within the larger scope of Columbia University. When the bell tolls the passing of so long a period of intellectual endeavor one casts an appraising eye over the past, and I am impelled to say a few retrospective words about the faculty and the students. I have been greatly assisted in this direction by the researches of our colleague, Professor Dorfman, who has been probing into our past.

On the side of the faculty, there have been many changes, but there are also many continuities. First let me note some of the changes. As in Europe, economics made its way into the university through moral philosophy, and our College students were reading the works of Frances Hutcheson in 1763. But at the end of the 18th century, there seems to have been an atmosphere of unhurried certainty and comprehensiveness of view that has now passed away. For instance, it is difficult to imagine a colleague of today launching a work entitled “Natural Principles of Rectitude for the Conduct of Man in All States and Situations in Life Demonstrated and Explained in a Systematic Treatise on Moral Philosophy”. But one of early predecessors, Professor Gross, published such a work in 1795.

The field of professorial vision has also change. The professor Gross whom I have just mentioned occupied no narrow chair but what might better be called a sofa—that of “Moral Philosophy, German Language and Geography”. Professor McVickar, early in the nineteenth century, reclined on the even more generous sofa of “Moral and Intellectual Philosophy, Rhetoric, Belles Lettres and Political Economy”. By now, however, political economy at least existed officially and, in 1821, the College gave its undergraduates a parting touch of materialist sophistication in some twenty lectures on political economy during the last two months of their senior year.

But by the middle of the century, integration was giving way to specialization. McVickar’s sofa was cut into three parts, one of which was a still spacious chair of “History and Political Science”, into which Francis Lieber sank for a brief uneasy period. His successor, John W. Burgess, pushed specialization further. He asked for an assistant to take over the work in political economy. Moreover, his request was granted and Richmond Mayo Smith, then appointed, later became Professor of Political Economy, which, however, included Economics, Anthropology and Sociology. The staff of the department was doubled in 1885 by the appointment of E. R. A. Seligman to a three-year lectureship, and by 1891 he had become a professor of Political Economy and Finance. Subsequent fission has separated Sociology and Anthropology and now we are professors of economics, and the days when political economy was covered in twenty lectures seem long ago.

Other changes stand out in our history. The speed of promotion of the faculty has markedly slowed down. Richmond Mayo Smith started as an instructor in 1877 but was a professor after seven years of teaching at the age of 27. E. R. A. Seligman even speeded matters a little and became a professor after six years of teaching. But the University has since turned from this headlong progression to a more stately gait. One last change I mention for the benefit of President Kirk, although without expectation of warm appreciation from him. President Low paid J. B. Clark’s salary out of his own pocket for the first three years of the appointment.

I turn now to some of the continuities in the history of the department. Professor McVickar displayed a concern for public affairs that has continued since his time early in the nineteenth century. He was interested in the tariff and banking but, notably, also in what he called “economic convulsions”, a term aptly suggesting an economy afflicted with the “falling sickness”. Somewhat less than a century later the subject had been rechristened “business cycles” to remove some of the nastiness of the earlier name, and professor Wesley Mitchell was focusing attention on this same subject.

The Columbia department has also shown a persistent interest in economic measurement. Professor Lieber campaigned for a government statistical bureau in the middle of the 19th century and Richmond Mayo Smith continued this interest in statistics and in the Census. Henry L. Moore, who came to the department in 1902, promoted with great devotion Mathematical Economics and Statistics with particular reference to the statistical verification of theory. This interest in quantification remains vigorous among us.

There is also a long continuity in the department’s interest in the historical and institutional setting of economic problems and in their public policy aspect. E. R. A. Seligman did not introduce, but he emphasized this approach. He began teaching the History of Theory and proceeded to Railroad Problems and the Financial and Tariff History of the United States, and of course, Public Finance. John Bates Clark, who joined the department in 1895 to provide advanced training in economics to women who were excluded from the faculty of Political Science, became keenly interested in government policy towards monopolies and in the problem of war. Henry R. Seager, in 1902, brought his warm and genial personality to add to the empirical work in the department in labor and trust problems. Vladimir G. Simkhovitch began to teach economic history in 1905 at the same time pursuing many and varied other interests, and we greet him here today. And our lately deceased colleague, Robert Murray Haig, continued the work in Public Finance both as teacher and advisor to governments.

Lastly, among these continuities is an interest in theory. E. R. A. Seligman focused attention on the history of theory. John Bates Clark was an outstanding figure in the field too well known to all of us for it to be necessary to particularize as to his work. Wesley C. Mitchell developed his course on “Current Types of Economic Theory” after 1913 and continued to give it almost continuously until 1945. The Clark dynasty was continued when John Maurice Clark joined the department as research professor in 1926. He became emeritus in 1952, but fortunately he still teaches, and neither students nor faculty are denied the stimulation of his gentle inquiring mind. He was the first appointee to the John Bates Clark professorship in 1952 and succeeded Wesley Mitchell as the second recipient of the Francis A. Walker medal of the American Economic Association in the same year.

Much of this development of the department was guided by that gracious patriarch E. R. A. Seligman who was Executive Officer of the Department for about 30 years from 1901. With benign affection and pride he smiled upon his growing academic family creating a high standard of leadership for his successors. But the period of his tenure set too high a standard and executive Officers now come and go like fireflies emitting as many gleams of light as they can in but three years of service. Seligman and J. B. Clark actively participated in the formation of the American Economic Association in which J. B. Clark hoped to include “younger men who do not believe implicitly in laisser faire doctrines nor the use of the deductive method exclusively”.

Among other members of the department I must mention Eugene Agger, Edward Van Dyke Robinson, William E. Weld, and Rexford Tugwell, who were active in College teaching, and Alvin Johnson, Benjamin Anderson and Joseph Schumpeter, who were with the department for short periods. Discretion dictates that I list none of my contemporaries, but I leave them for such mention as subsequent speakers may care to make.

When one turns to the students who are responsible for so much of the history of the department, one is faced by an embarrassment of riches. Alexander Hamilton is one of the most distinguished political economists among the alumni of the College. Richard T. Ely was the first to achieve academic reputation. In the 1880’s, he was giving economics a more humane and historical flavor. Walter F. Wilcox, a student of Mayo Smith, obtained his Ph.D. in 1891 and contributed notably to statistical measurement after he became Chief Statistician of the Census in 1891, and we extend a special welcome to him here today. Herman Hollerith (Ph.D. 1890) contributed in another way to statistics by his development of tabulating machinery. Alvin Johnson was a student as well as teacher. It is recorded that he opened his paper on rent at J. B. Clark’s seminar with the characteristically wry comment that all the things worth saying about rent had been said by J. B. Clark and his own paper was concerned with “some of the other things”. Among other past students are W. Z. Ripley, B. M. Anderson, Willard Thorp, John Maurice Clark, Senator Paul Douglas, Henry Schultz and Simon Kuznets. The last of these we greet as the present President of the American Economic Association. But the list grows too long. It should include many more of those here present as well as many who are absent, but I am going to invite two past students and one present student to fill some of the gaps in my story of the department.

I have heard that a notorious American educator some years ago told the students at Commencement that he hoped he would never see them again. They were going out into the world with the clear minds and lofty ideals which were the gift of university life. Thenceforward they would be distorted by economic interest, political pressure, and family concerns and would never again be the same pellucid and beautiful beings as at that time. I confess that the thought is troubling. But in inviting our students back we have overcome our doubts and we now confidently call upon a few of them. The first of these is George W. Stocking who, after successfully defending a dissertation on “The Oil Industry and the Competitive System” in 1925, has continued to pursue his interest in competition and monopoly as you all know. He is now at Vanderbilt University.

The second of our offspring whom I will call upon is Paul Strayer. He is one of the best pre-war vintages—full bodied, if I may borrow from the jargon of the vintner without offense to our speaker. Or I might say fruity, but again not without danger of misunderstanding. Perhaps I had better leave him to speak for himself. Paul Strayer, now of Princeton University, graduated in 1939, having completed a dissertation on the painful topic of “The Taxation of Small Incomes”.

The third speaker is Rodney H. Mills, a contemporary student and past president of the Graduate Economics Students Association. He has not yet decided on his future presidencies, but we shall watch his career with warm interest. He has a past, not a pluperfect, but certainly a future. Just now, however, no distance lends enchantment to his view of the department. And I now call upon him to share his view with us.

So far we have been egocentric and appropriately so. But many other centres of economic learning are represented here, and among them the London School of Economics of which I am proud as my own Alma Mater. I now call upon Professor Lionel Robbins of Polecon (as it used sometimes to be known) to respond briefly on behalf of our guests at the Conference. His nature and significance are or shall I say, is, too well known to you to need elaboration.

[in pencil]
A.R. Burns

Source: Columbia University Libraries, Manuscript Collections, Columbiana. Department of Economics Collection, Box 9, Folder “Bicentennial Celebration”.

_____________________________

[BIOGRAPHICAL INFORMATION FOR ARTHUR ROBERT BURNS]

 

BURNS, Arthur Robert, Columbia Univ., New York 27, N.Y. (1938) Columbia Univ., prof. of econ., teach., res.; b. 1895; B.Sc. (Econ.), 1920, Ph.D. (Econ.), 1926, London Sch. of Econ. Fields 5a, 3bc, 12b. Doc. dis. Money and monetary policy in early times (Kegan Paul Trench Trubner & Co., London, 1926). Pub. Decline of competition (McGraw-Hill 1936); Comparative economic organization (Prentice-Hall, 1955); Electric power and government policy (dir. of res.) (Twentieth Century Fund, 1948) . Res. General studies in economic development. Dir. Amer. Men of Sci., III, Dir. of Amer. Schol.

Source: Handbook of the American Economic Association, American Economic Review, Vol. 47, No. 4 (July, 1957), p. 40.

 

Obituary: “Arthur Robert Burns dies at 85; economics teacher at Columbia“, New York Times, January 22, 1981.

Image: Arthur Robert Burns.  Detail from a departmental photo dated “early 1930’s” in Columbia University Libraries, Manuscript Collections, Columbiana. Department of Economics Collection, Box 9, Folder “Photos”.

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Chicago Exam Questions Statistics

Chicago. Ph.D. qualifying exam in statistics. 1932

In his memo of February 1985 (Columbia University, A. G. Hart papers: Box 60, Folder “Sec I Notes on teaching materials, Learning”) Albert G. Hart wrote “I ducked the qualifying exam in statistics (in which for that date I was very well trained) because I disapproved of the focus of previous exams upon minor technicalities—hence I exploited the loophole which made ‘financial organization’ a separate field even though in principle the ‘theory’ exam included monetary economics.” The previous three postings give the examination questions for theory, economic history and financial organization (i.e. money and banking) for the qualifying exams Hart did take. I presume the exam of this posting is one he examined and then decided to duck statistics.

__________________________

[Handwritten note: University of Chicago (H Schultz)]

STATISTICS
Written Examination for the Ph.D.
Spring Quarter, 1932

Time – 3 1/2 hours

Answer seven questions: one question in Part I and two questions in each of the other parts.

PART I. Time Series

  1. Discuss the possibility of applying the theory of probability or of sampling to the study of the statistical characteristics of time series.
  2. Explain the factors that have to be taken into consideration in determining the best trend of a time series. What analyses can be made of a time series from which the trend and seasonal variation have been removed.
  3. Discuss the advantages and limitations of the elimination of seasonals (a) by subtracting, (b) by dividing.

PART II. Index Numbers

  1. Discuss the problem of assigning a precise and unambiguous meaning to a change in the price level (or to a change in some specified section of the price level, e.g., the wholesale price level of metals), touching on the contributions of Edgeworth, Fisher, Divisia, Keynes, and Bortkevitch.
  2. If you were attempting to construct a 15 commodity wholesale price index which would precede the general B.L.S. wholesale price index by at least two months as consistently as possible (a) how would you select your commodities, (b) how would you wait them in the index?
  3. Explain fully:

(a) Does Fisher’s ideal Index measure precisely and unambiguously the change in price level from one period to another of the commodities included in the index?
(b) What significance would you attach to the Factor Reversal test in the selection of the formula for price index?
(c) What significance would you attach to the Time Reversal test in the selection of a formula for a price index?

PART III. Correlation

  1. Let

x1 = annual per capita cigarette consumption

x2 = deflated average annual wholesale price of cigarettes

x3 = deflated annual expenditure on advertising

x4 = time in years

R1.234 = .998 for the period 1922-1929 inclusive

r14= .95

(a)  What meaning would you attach to R1.234?
(b) How reliable would you consider forecasts of x1  for subsequent years based on the regression of x1 on x2 , x3 , and x4 ?
(c) Adjust R1.234  for loss of degrees of freedom. Explain this adjustment.
(d) Calculate R1´.2´3´4´ in which the 1´, 2´, and 3´refer to the deviations from linear trends of the variables 1, 2 and 3.

2.  Prove and explain the following relations:     (The B’s are Greek Betas.)

(a)  R21.23 = B12.3 r12  + B13.2 r13

(b)  R21.23  = B212.3 + B213.2 + 2B12.3 B13.2  r23

What meaning can be given to the Br’s in this connection when the equation of regression is of the type

x1 = a + bx2 + ct + dt2 where t stands for time?

3.  Critically appraise the attempts that have been made to apply the method of multiple correlation to one of the following:

(a) Statistical studies of demand
(b) Statistical studies of supply
(c) Any field selected by yourself.

PART IV. Probability and Sampling

  1. Indicate the best procedures and tables to use in determining the reliability of the following constants, when the number of observations from which they have been derived is small (i.e., less than 50):

(a)  the mean
(b)  the standard deviation
(c)  the simple coefficient of correlation
(d)  the multiple coefficient of correlation
(e)  the coefficients of progression in a multiple correlation equation
(f)  the agreement of a hypothesis with observation
(g)  the presence or absence of dependence

2. In a straw vote 200,000 ballots are sent out. 100,000 are returned and of the 60,000 or marked in favor of the proposition submitted.

(a) What can you say about the reliability of this vote?
(b) If the original mailing had been increased to 800,001 increase in reliability would have been secured in the returns?
(c) List the types of errors to which straw votes are subject.

3.   189 cases were treated with tetanus serum and 80 of them were cured. 199 cases were not treated with tetanus serum and only 42 of them were cured. What is the probability that the serum has had no effect, the difference in recoveries being due to fluctuations in sampling? (Outline your solution.)

4. A factory produces a certain screw which is collected at the machine inboxes of 1200 each. Long experience has shown that the proportion of boxes which contain various percentages of bad screws is as follows:
Per Cent of Bad Screws in Box

Per Cent of
Bad Screws
in Box

 Proportion of Boxes Observed
to Contain this Percentage
of Bad Screws

0

 0.780

1

0.170

2

0.034

3

0.009

4

0.005

5

0.002
6

0.000

 

The manufacturing standard is to consider any box which contains 2% or less of bad screws is satisfactory. The normal inspection consists in the examination of 50 screws out of each box. In particular box showed six bad screws under normal inspection. What is the probability that the manufacturing standard has not been maintained in the production of this box (i.e., that the box contains more than 2% defective screens)?

N. B. – Outline your solution giving formulas, indicating required tables, etc., But do not carry out the actual computations.

Source: Columbia University Libraries, Manuscript Collections. Albert Gailord Hart Collection. Box 60; Folder “Exams: Chi[cago] Qualifying”.

Image Source: Detail from the Social Science Research Building. University of Chicago Photographic Archive, apf2-07448, Special Collections Research Center, University of Chicago Library.

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Chicago Suggested Reading Syllabus

Chicago. Theory and Measurement of Demand. Henry Schultz, 1934

The undated reading list and bibliography for Henry Schultz’s advanced course “Theory and Measurement of Demand” transcribed below, included in Milton Friedman’s papers at the Hoover Institution Archives, are almost certainly from the Autumn quarter, 1934. This was the academic year that Friedman worked as Henry Schultz’s research assistant at the University of Chicago and audited the course.

______________________________

Friedman audited the Schultz course, Theory and Measurement of Demand

According to the draft of his Civil Service application Milton Friedman worked as personal assistant to Henry Schultz October 1934-August 1935 at a yearly salary of $1600. In his list of courses on a separate page, Friedman writes that he “visited”, i.e. did not take for credit, a course in the Theory of Demand given by Henry Schultz during the academic year 1934-35.

 

Source: Milton Friedman Papers, Hoover Institution Archives, Box 5, Folder 4 (Employment records, Civil Service Commission).

______________________________

Friedman describes his work for Schultz

From a carbon-copy, presumably an attachment to the same Civil Service application in Box 5, Folder 4, Friedman writes:

“I lived in Chicago, Ill. from September, 1934 to August, 1935 while employed by the University of Chicago.

My educational training and experience gained while working with Professor Schultz this past year are most relevant to the position for which I am applying. I have aided Prof. Schultz on the theoretical questions underlying his forthcoming book on “The Theory and Measurement of Demand”, a subject intimately connected with consumption. In this connection I have had to survey the literature on demand and consumption. In addition to the theoretical work I have been in charge of related statistical studies and was largely responsible for the planning and direction of a statistical study of the demand for meats in the United States, on which study three statistical assistants were employed. In the course of the study I wrote several memoranda analyzing and interpreting the data and results. The results of the analysis are being published by Prof. Schultz in…[next page missing].”

Source: Milton Friedman Papers, Hoover Institution Archives, Box 5, Folder 11(Student years).

______________________________

[Course Description] 

  1. The Theory and Measurement of Demand.—A course covering such topics as the pure theory of demand; demand and utility in the theory of exchange; static and dynamic demand functions; different notions of elasticity of demand; various methods of deriving demand functions from family budget data and from time series of consumption and prices; etc. Prerequisite: Economics 301, a reading knowledge of French, and consent of the instructor. C.—2Cs., Autumn, 9:00, SCHULTZ.

 

Source: University of Chicago. Announcements: The College and The Divisons for the Sessions of 1934-35, pp. 286-7.

______________________________

REFERENCES FOR ECONOMICS 405

Theory and Measurement of Demand
by
Henry Schultz
University of Chicago

____

I. General Equilibrium

Bowley, A. L. Mathematical Groundwork of Economics
Divisia, Francois Économique Rationelle
Evans, G. C. Mathematical Introduction to Economics
Fisher, Irving Mathematical Investigations in the Theory of Value and Price,–in Transactions of the Connecticut Academy of Arts and Sciences (9-10) pp. 1-125.
Marshall, Alfred Principles of Economics
Pareto, Vilfredo +Manuel d’Économie Politique (especially Chap. III and Mathematical Appendix, pp. 539-594.)

+Cours d’Économie Politique (especially first 73 pages)

+Économie Mathématique, in Encyclopédie des sciences Mathématique, Tome I, Vol. 4, Fascicule 4, pp. 591-640.
Pietri-Tonelli, Alfonso Traité d’Économie Politique
Walras, Leon +Éléments d’Économie Politique
Zawadzki, Wl. Les Mathématiques Appliquées à l’Économie Politique

 

 

II. Utility Theory

A. Philosophical and Historical Background

Bentham, Jeremy Principles of Morals and Legislation
Edgeworth, F. Y. Mathematical Psychics
Halevy, Elie La Formation du Radicalisme Philosophique (French or English edition)
Jevons, W. Stanley Theory of Political Economy
Mitchell, Wesley C. “Bentham and the Felicific Calculus”, Political Science Quarterly, Vol. XXXIII, No. 2, June, 1918.
Stephen, Leslie The Utilitarians

 

B. Analytical and Statistical

Allen, R. G. D. “The Foundations of a Mathematical Theory of Exchange”, Economica, May, 1932.

+”The Nature of Indifference Curves”, The Review of Economic Studies, Vol. 1, No. 2, Feb., 1934, pp. 110-121.

+”A Comparison between Different Definitions of Complementary and Competitive Goods”, Economtrica, Vol. II, No. 2, April, 1934, pp. 168-176.
Allen, R.G.D., and Hicks, J.R. “A reconsideration of the Theory of Value”, Economica, Part I, Feb., 1934, pp. 52-76. Part II, May, 1934, pp. 196-219.
Evans, G. C. “The Role of Hypothesis in Economic Theory”, Science, Vol. 75, No. 1943, March 25, 1932, pp. 321-324.
Johnson, W.E. “The Pure Theory of Utility Curves”, Economic Journal, Vol. XXIII, No. 92, Dec., 1913, pp. 483-513.
Lange, Oscar “The Determinateness of the Utility Function”, The Review of Economic Studies, Vol. I, No. 3, pp. 218-226.
Schultz, Henry Review of Evans’ Mathematical Introduction in Journal of the American Statistical Association, Vol. XXVI, No. 176, Dec., 1931, pp. 484-91.

+”Interrelations of Demand”, Journal of Political Economy, XLI, 1933, pp. 468-512.
Thurstone, L. L. “The Indifference Function”, The Journal of Social Psychology, Vol. II, No. 2, May, 1931, pp. 139-67.
Zotoff, A. W. “Notes on the Mathematical Theory of Production”, Economic Journal, Vol. XXXIII, 1923, pp. 115-121.

 

C. Applications

Allen, R. G. D. “On the Marginal Utility of Money and Its Applications”, Economica, May, 1933.
Fisher, Irving “A Statistical Method for Measuring ‘Marginal Utility’ and Testing the Justice of a Progressive Income Tax”, in Economic Essays Contributed in Honor of John Bates Clark.
Frisch, Ragnar “Sur un Problème d’Économie Pure”, Norsk Matamatisk Forenings Skriften, 1926, Series 1, No. 16.

New Methods of Measuring Marginal Utility
Schultz, Henry “Frisch on the Measurement of Utility”, Journal of Political Economy, XLI, Feb., 1933, pp. 95-117.

+ Of special importance

 

________________________________

 

[Handwritten: Milton Friedman]

 

REFERENCES FOR ECONOMICS 405
Bibliography on Demand

__

Henry Schultz
University of Chicago

____

Derivation of Demand Curves
I. From Price [and] Quantity Data

A. The Moore Method

Moore, H.L. Economic Cycles: Their Law and Cause. New York, 1914.

Forecasting Yield and Price of Cotton. New York, 1917.

“Empirical Laws of Demand and Supply and the Flexibility of Prices”, PSQ, XXXIV, 1919.

“Elasticity of Demand and Flexibility of Prices”, JASA, XVIII, 1922.

“A Moving Equilibrium of Demand and Supply”, QJE, XXXIX, 1925.

“Partial Elasticity of Demand”, QJE, XL, 1926.

“A Theory of Economic Oscillations”, QJE, XLI, 1926.

Synthetic Economics, New York, 1929.
Schultz, Henry Statistical Laws of Demand and Supply, with Special Application to Sugar. Chicago, 1928.

Meaning of Statistical Demand Curves. English original of Der Sinn der Statistischen Nachfragekurven, Veroeffentlichungen der Frankfurter Gesellschaft fuer Konjunkturforschung, Heft 10. Bonn, 1930.

“The Shifting Demand for Selected Agricultural Commodities, 1875-1929”, Journal of Farm Economics, XIV, 1932, 201-27.

“A Comparison of Elasticities of Demand Obtained by Different Methods”, Econometrica, I, 1933, 274-308.

“Interrelations of Demand”, JPE, XLI, 1933, 468-512.
Lenoir, Marcel Études sur la Formation et le Mouvement des Prix. Paris, 1913.
Ezekiel, Mordecai “Statistical Analysis of the Laws of Price”, QJE, 1928.

“A Statistical Examination of Lamb Prices”, JPE, April, 1927.

 

B. The Leontief Method

Leontief, Wassily “Ein Versuch zur Statistischen Analyse von Angebot und Nachfrage”, Weltwirtschaftliches Archiv, Band XXX, Heft 1, 1929, pp. 1-53.
Schultz, Henry Meaning of Statistical Demand Curves, Appendix II, 99-118.
Frisch, Ragnar “Pitfalls in the Statistical Construction of Demand and Supply Curves”, Veroeffentlichungen der Frankfurter Gesellschaft fuer Konjunkturforschung, Neue Folge, Heft 5, Leipzig, 1933.
Leontief, Wassily “Pitfalls in the Construction of Demand and Supply Curves: A Reply”, QJE, XLVIII, 1934, 352-63.
Frisch, Ragnar “More Pitfalls in Demand and Supply Analysis: A Reply”, QJE, XLVIII, 1934, 749-55.
Leontief, Wassily “More Pitfalls in Demand and Supply Analysis: A Final Word”, QJE, XLVIII, 1934, 755-59.
Marschak, J. “More Pitfalls in Demand and Supply Analysis: Some Comments”, QJE, XLVIII, 1934, 759-67.

 

C. The (second) Pigou Method

Pigou, A.C. “The Statistical Derivation of Demand Curves”, EJ, XL, 1930, 344-400; reprinted in A.C. Pigou and D.H. Robertson, Economic Essays and Addresses. London, 1931.
Ferger, Wirth F. “Pigou’s Method of Deriving Demand Curves”, EJ, XLII, 1932, 17-26.
Cassels, J.M. “A Critical Consideration of Professor Pigou’s Method for Deriving Demand Curves”, EJ, XLIII, 1933, 574-87.
Allen, R.G.D. “A Critical Examination of Professor Pigou’s Method of Deriving Demand Elasticity”, Econometrica, II, July, 1934, 249-58.

 

D. Miscellaneous

Working, Holbrook “The Statistical Determination of Demand Curves”, QJE, XXXIX, 1925.
Working, E.J. “What do Statistical Demand Curves Show?” QJE, XLI, 1927, 212-35.
Gilboy, Elizabeth W. “Demand Curves in Theory and Practice”, QJE, XLV, 1930.

“The Leontief and Schultz Methods of Deriving ‘Demand’ Curves”, QJE, XLV, 1931, 218-61.
“Studies in Demand: Milk and Butter”, QJE, XLVII, 1932, 671-97.
Ferger, Wirth F. “The Static and Dynamic in Statistical Demand Curves”, QJE, XLVII, 1932, 36-62.

 

II. From Family Budget Data

A. The (first) Pigou Method

Pigou, A.C. “A Method of Determining Numerical Values of Elasticity of Demand”, EJ, XX, 1910, 636-40.

 

B. The Frisch Method

Frisch, Ragnar “Sur un Problème d’Économie Pure”, Norsk Matamatisk Forenings Skriften, 1926, Series 1, No. 16.

New Methods of Measuring Marginal Utility
Schultz, Henry “Frisch on the Measurement of Utility”, JPE, XLI, 1933, 95-117.

 

C. The Marschak Method

Marschak, Jakob Elastizitaet der Nachfrage, Beitraege zur Oekonomischen Theorie, 2, Tuebingen, 1931.
Frisch, Ragnar “Discussion of Marschak’s Method”, Revue d’Économie Politique, XLVI, 1932, 14-28.

 

D. The Roy Method

Roy, René La demande dans ses rapports avec la Répartition des Revenue”, Metron, VIII, 1930, 101-53.

“Les Lois de la Demande”, Revue d’Économie Politique, 1931, 1190-1218.

 

E. Miscellaneous

Gilboy, Elizabeth W. “Demand Curves by Personal Estimate”, QJE, 1932.
Waugh, Albert E. “Elasticity of Demand from Budget Studies”, QJE, 1932.
Bean, L. H. “The Farmer’s Response to Price”, Journal of Farm Economics, 1929.

“Measuring the Effect of Supplies on Prices of Farm Products”, Journal of Farm Economics, April, 1933.

 

N.B.

The references, with but one exception, are confined to works in English or French. For additional references see Schultz, Henry: “A Comparison…”, Econometrica, I, 1933, 274-308.

The abbreviations refer to the following periodicals:

EJ Economic Journal
JASA Journal of the American Statistical Association
JPE Journal of Political Economy
PSQ Political Science Quarterly
QJE Quarterly Journal of Economics

 

Source: The above transcription is based on the copy  in Milton Friedman Papers, Hoover Institution Archives, Box 5, Folder 12 (Student years). Another copy can be found in the George Stigler Papers, University of Chicago Archives, Addenda, Box 33, Folder “1935 University of Chicago Class Notes”. The copy in the Stigler notes is almost identical to the Friedman copy (with some hand-corrected titles and additions for apparent unintended omissions). Stigler’s notes to the course along with class hand-outs are found in the same folder.

Image Source: The only photo of Henry Schultz that I have ever come across is the one found to accompany Harold Hotelling’s paper and Paul Douglas’ paper in Econometrica (1939) honoring Schultz who died November 26, 1938 in a tragic automobile accident that also took the lives of his wife and two daughters.

Categories
Chicago Computing Economists Salaries

Chicago. Purchasing order for a calculator for Henry Schultz. 1928.

Monroe KAA-203

Here is an item to file away under the cost of computing. Henry Schultz, the young hot-shot professor for mathematical economics and statistics wanted a fully-automatic Monroe calculator with an electric motor drive (pictured above). With discounts, the calculator and stand cost $631.  To get a relative price (in a hurry), I note that the nine month salary for Henry C. Simons at the rank of Lecturer was $2790, i.e. $310 per month. Thus figure that calculator-with-stand ran roughly two months of (approximately) instructor rank pay today.

Recommendation to appoint Henry C. Simons May 20, 1927: University of Chicago Archives. Office of the President, Mason Administration. Box 24, Folder 2.

Cf. a request to purchase two calculators for the use of the Columbia University economics faculty in 1948.

_______________________

[carbon copy]

January 8, 1928

 

Mr. J. C. Dinsmore [Purchasing Agent]
Faculty Exchange

My dear Mr. Dinsmore:

I am enclosing a requisition against the instruction fund of the Department of Economics for $652.13 [sic] which is to cover the purchase of the following material:

1 Monroe Machine – KAA 203…$825.00

less 15% and 10%…….$631.13

1 Fowler Manson Sherman Stand (low)… 21.00

Total                                       $651.13

 

Professor Henry Schultz is anxious to have these articles delivered as promptly as possible. Will you please telephone me when they arrive so that I can tell you to what room they should be delivered.

So that there will be no delay in the attached requisition being approved promptly, I quote a paragraph taken from a letter of September 24 from Mr. Woodward to me:

“I have arranged with Mr. Plimpton for you to draw on the instruction budget of the Department of Economics for the sum of $2600 in order to provide Mr. Schultz with equipment, supplies, and clerical assistance. It should be clearly understood that this arrangement is for the present year only.”

Yours very sincerely,

L. C. Marshall [chairman of the department]

LCM: GS

Source: University of Chicago Archives. Economics Department. Records & Addenda. Box 6, Folder 2.

_______________________

About the KAA model:

“Model KA from 1922 was the first Monroe calculator with an electric motor drive. The machine has an AC induction motor of about 5″ diameter mounted externally on a cast-iron bracket at the left-hand rear. The motor occupies the dead area under the extended carriage, and so requires no additional desk space. The motor rotates in one direction only at 1500RPM. The mechanism is driven through a planetary gearset, with two dog clutches operated by the Add and Subtract bars to select forward or reverse rotation. The case has been widened by an inch and a half to accommodate the control mechanisms on the left-hand side. The winding handle has been replaced with a knurled brass knob, but the crank can easily be re-fitted to operate the machine by hand.

The carriage has glass windows above the numerals, but carriage shift and register clearing are still manual. The item count knob is at the lower left of the keyboard, with an additional control lever at the upper left to silence the overflow bell.

…[The] Monroe’s head office, which was in New York City until the mid-1920s.

A fully-automatic variant (the Model KAA) was built during the mid to late 1920s. The KAA is wider again than the KA, and has a single column of “on-the-fly” multiplier keys to the left of the main keyboard.”

Source:  John Wolff’s Web Museum. The Monroe Calculating Machine Company

Image Source: KAA-203 photo attributed to contribution by Helmut Siebel. See the link above.

_______________________

For a history of the company.

_______________________

An image of a representative typewriter stand made by a Chicago company (note: a bicycle manufacturer) from the antique dealer Urban Remains of Chicago.

FowlerMansonShermanTubularStand

Categories
Chicago Columbia Economists Transcript

Milton Friedman’s Coursework in Economics, Statistics and Mathematics

Before Milton Friedman could be a teacher of economics, he was of course the student of many teachers. This list of his relevant coursework and teachers is complete. I merely add here that his transcript also shows three semesters of college French and four semesters of college German and that he entered Rutgers with advanced credits in French.

Rutgers University
University of Chicago
Columbia University
Dept. of Agriculture Graduate School

Rutgers University (1928-32)

Principles of Economics E. E. Agger 1929-30
Money and Banking E. E. Agger 1930-31
Statistical Methods Homer Jones 1930-31
Business Cycles Arthur F. Burns 1931-32
Economic Research Ivan V. Emelianoff 1931-32
Principles of Insurance Homer Jones 1931-32
College Algebra 1928-29, 1st term
Analytical Geometry 1928-29, 2nd term
Calculus 1929-30
Advanced Calculus 1930-31
Theory of Numbers 1929-30, 2nd term
Theory of Equations 1930-31, 1st term
Differential Equations 1930-31, 2nd term
Analysis 1931-32
Elliptic Integrals 1931-32, 2nd term

 

University of Chicago (1932-33, 1934-35)

Econ 301 Prices and Distribution Theory Jacob Viner Autumn Quarter 1932
Econ 302 History of Economic Thought Frank H. Knight Winter Quarter 1933
Econ 303 Modern Tendencies in Economics Jacob Viner Spring Quarter 1933
Econ 311 Correlation and Curve Fitting Henry Schultz Winter Quarter 1933
Econ 312 Statistical Graphics Henry Schultz Spring Quarter 1933
Econ 330 Graduate Study of Money and Banking Lloyd W. Mints Autumn Quarter 1932
Econ 370 International Trade and Finance Jacob Viner Winter Quarter 1933
Econ 220 Economic History of the United States, not taken for credit Chester Wright Winter Quarter 1935
Econ 220 Economic History of Europe, not taken for credit John U. Nef Autumn Quarter 1934
Labor (visited) Paul H. Douglas  1934-35
Theory of Demand (visited) Henry Schultz  1934-35
Math 306 Introduction to Higher Algebra  E. Dickson Autumn Quarter 1932
Math 341 Calculus of Variations  G. Bliss Autumn Quarter 1932
Math 324 Theory of Algebraic Numbers  A. Albert Winter Quarter 1933
Math 310 Functions of a Complex Variable (not taken for credit) L. M. Graves

 Master’s thesis: An empirical study of the relationship between railroad stock prices and railroad earnings for the period 1921-31.

 

Columbia University (1933-34)

Stat 111-12 Statistical Inference Harold Hotelling Winter/Spring semesters
Econ 117-18 Mathematical Economics Harold Hotelling Winter/Spring semesters
Econ 119 Economic History V. G. Simkhovitch Winter semester
Econ 128 Currency and Credit James W. Angell Spring semester
Econ 211-12 Business Cycles Wesley Claire Mitchell Winter/Spring semesters
Econ 315-16 Economic Theory Seminar John M. Clark, James W. Angell, and Wesley C. Mitchell Winter/Spring semesters
Social Economics (visited) J. M. Clark
Labor (visited) Leo Wolman
Theory (visited) R. W. Souter

 

Department of Agriculture Graduate School (1936-37)

Statistics 17-18 Adjustment of Observations

Source: Assembled from transcripts and course lists kept by Milton Friedman. Hoover Institution Archives, Milton Friedman Papers, Box 5, Folders 11, 13 (Student years).

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

Categories
Chicago Courses Syllabus

Chicago Economics. Math Econ (Econ 402). Henry Schultz References. 1932

 

 

Albert G. Hart was a graduate student at the University of Chicago 1931-34. Among the courses he took was that of Henry Schultz in mathematical economics. In his papers are three sets of reading lists for the course along with Hart’s handwritten notes.

Course Description Econ 402
References for Econ. 402
References for Cost Theory
References for Monopolistic Competition

The same core reading list was used in the autumn quarter of 1935. The reading list for that quarter has been transcribed in a later post, with the added attraction of having many links to the individual items on the list!

________________________________

 

  1. Mathematical Economics.—A study of economic theory from the point of view of assumptions, range of problems, methods and tools, and validity and utility of results under present conditions. Consideration is given to the problem of “circular reasoning” in price theory, to the advantages and limitations of the mathematical approach, and to the possibility of developing a “statistical complement” to pure theory. Special attention is paid to the problem of price determination and to the mathematical theory of production. Readings will be assigned on special topics in the works of Cournot, Jevons, Walras, Pareto, Marshall, Moore, and others; and the class meetings will be devoted chiefly to discussion. Opportunity for investigation of particular problems is offered the student. Prerequisite: Economics 301 [Price and Distribution Theory], a reading knowledge of French, and consent of the instructor. Registration may be made for one or more courses each quarter. Summer, Spring, SCHULTZ.

 

Source: University of Chicago. Announcements, Social Sciences for the sessions of 1931-32. Vol. XXI, January 15, 1931, no. 11, p. 26

________________________________

[Spring Quarter 1932]

REFERENCES FOR ECON. 402

Mathematical Economics
By
Henry Schultz
University of Chicago

 

Amoroso, Luigi Lezioni di Economia Matematica
Le Equazioni Differenziali della Dinamica Economica—in Giornale degli Economisti, February, 1929.
La Curva Statica di Offerta—Giornale degli Economisti, January, 1930.
Annals of the American Academy of Political & Social Science July, 1892 (Paper by Walras)
Auspitz, Rudolf
Lieben, Richard		 Recherches sur la théorie du prix
Bentham, Jeremy Principles of Morals and Legislation
Bertolasi, Ellen Quittner Die Stellung der Lausanner Schule in der Grenznutzenlehre—in Arch. f. Sozialw. u. Sozialpol., 64. Band, Heft 1, August, 1930, pp. 16-44.
Black, J. O. Production Economics
Bonar, James Philosophy and Political Economy
Bousquet, G. H. Essai sur l’évolution de la Pensée économique
Précis de sociologie d’àpres Vilfredo Pareto
Vilfredo Pareto: Sa vie et son oeuvre
Boven, Pierre Les applications mathématiques à l’économie politique
Bowley, A. L. Mathematical Groundwork of Economics
Bridgman, P. W. The Logic of Modern Physics
Cassel, Gustav Theory of Social Economy
Fundamental Thoughts on Economics
Cournot, A. A. The Mathematical Theory of Wealth
Théorie des richesses
Cunynghame, H. Geometrical Political Economy
Del Vecchio, Gustavo La Dinamica Economica Di H. L. Moore—in Giornale degli Economisti, Anno XLV, Giugno, 1930, VIII, No. 6, pp. 545-554.
Dicey Law and Opinion in England
Edgeworth, F. Y. Mathematical Psychics
Papers relating to Political Economy
Evans, G. C. Mathematical Introduction to Economics
Fisher, Irving Mathematical Investigations in the Theory of Value and Prices,—in Transactions of the Connecticut Academy of Arts & Sciences (9-10) pp. 1-125.
Giornale degli Economisti Aug. & Oct., 1924
Halévy, Élie La formation du radicalism philosophique
Hobson, E. W. The Domain of Natural Science
Jevons, W. S. Theory of Political Economy
Journal of the American Statistical Association Dec. 1923; March & Dec. 1924; Dec. 1926 (Papers by H. L. Moore)
Journal of Political Economy Oct. & Dec. 1925; April 1927
Marshall, Alfred Principles of Economics
Industry and Trade
Money, Credit and Commerce
Moore, Henry L. Laws of Wages
Economic Cycles
Forecasting the Yield & the Price of Cotton
Generating Economic Cycles
Synthetic Economics
Moret, Jacques L’emploi des mathématiques en économie politique
Nicol, A. J. Partial Monopoly and Price Leadership (Privately published)
Pantaleoni, M. Pure Economics
Pareto, Vilfredo Manuel d’économie politique
Cours d’économie politique
Anwendung der Mathematik auf National Ökonomie, —in Encycl. Mathematisch, Wissenschaft, I G 2, pp. 1094-1170
Économie mathématique, —in Encyclopédie des sciences mathématique, Tome I, vol. 4 (Fascicule 4, pp. 590-640)
The New Theories of Economics, —in Journ. Polit.Econ., Sept. 1897
Traité de sociologie générale
Pearson, Karl Grammar of Science
Pietri-Tonelli, Alfonso Traité d’économie rationelle
Pigou, Alfred [sic, Arthur] Economics of Welfare
Planck, Max A Survey of Physics
Poincaré, Henri Foundations of Science
Political Science Quarterly Vol. XXXIII, June, 1918, No. 2, pp. 164-5 (Paper by Mitchell)
Quarterly Journal of Economics Jan. 1898; Aug. 1925; Nov. 1926; March 1927
Revue d’histoire des doctrines économique et sociales 1910 (Article by Antonelli on Léon Walras)
Revue d’histoire économique et sociale 1924, pp. 225-43
Revue de metaphysique et de morale (13) 1905 (Section on Cournot)
Ricci, Umberto Die statistischen Gesetze des Gleichgewichtes nach Henry Schultz—in Zeitschrift für Nationalökonomie, January, 1931
Schultz, Henry Statistical Laws of Demand and Supply
Marginal Productivity and the General Pricing Process, —Journ. Polit. Econ., Oct. 1929
Der Sinn der statistischen Nachfragekurven
Vinci, Felice “Sui Fondamenti della Dinamica Economica”, Rivista Italiana di Statistica, Anno II, No. 3, Luglio-Settembre, 1930—VIII, pp. 222-268
Walras, Léon Économie politique appliquée
Économie sociale
Élèments d’économie politique
Wicksteed, Philip The Alphabet of Economic Science
Common Sense of Political Economy
Stephen, Leslie The Utilitarians
Zawadzki, Wl. Les mathématiques appliquées à l’économie politique
Zeuthen, F. L. Problems of Monopoly and Economic Welfare
[handwritten addition] Weinberger, Otto Mathematische Sozialwissenschaft

 

________________________________

Economics 402
Prof. Henry Schultz

REFERENCES ON COST THEORY

Marshall, A.—Principles of Economics, 8th ed., Book V, Chap. V.

Ricci, Umberto—“Curve piane di offerta dei prodotti”, Giornale degli Economisti, Vol. 33, September, 1906, pp. 223ff.

————- “Elasticita dei Bisogni delli Domanda e dell’ offerta,” Giornale degli Economisti, August and October, 1924.

Edgeworth, F. Y.—“The Laws of Increasing and Diminishing Returns”, in Papers Relating to Political Economy, Vol. I, pp. 61-99.

Young, Allyn A.—“Pigou’s Wealth and Welfare”, Quarterly Journal of Economics, Vol. XXVII, 1913, pp. 672ff.

Fanno, Marco—Contributo alla Teoria dell’offerta a costi conqiunti, Rome, 1914.

Clapham, J. H.—“On Empty Economic Boxes”, Economic Journal, Vol. 32, September, 1922, pp. 304-314.

Pigou, Prof. A. C.—“Empty Economic Boxes: A Reply”, Economic Journal, Vol 32, December 1922, pp. 458 ff.

Clapham, J. H.—“The EconomiC Boxes—a Rejoinder”, Ibid.

Knight, F. H.—“Some Fallacies in the Interpretation of Social Costs”, Quarterly Journal of Economics, Vol. 38, 1924, pp. 582ff.

Sraffa, P.—“Sulle relazioni fra costo e quantità prodotta,” Annali di Economia, Bd. II, 1925.

————- “The Laws of Return under Competitive Conditions”, Economic Journal, Vol. 36, December, 1926, p. 535.

Papi, G. U.—Sul costo di produzione nei cicli economica, Rome, 1926.

Del Vecchio, G.—“Il costo quale element della theoria economica,” Giornale degli Economisti, Vol. 67, March, 1926, p. 167.

Robertson, D. H.—“Those Empty Boxes,” Economic Journal, Vol. 34, 1927.

Barone—Grunzüge der theoretischen Nationalökonomie, Bonn, 1927. (Translated by H. Staehle)

Cabiati—“Per riempire alcune ‘empty boxes’ finanziarie,” Giornale degli Economisti, 1928.

Pigou, A. C.—“An Analysis of Supply”, Economic Journal, Vol. 38, June, 1928, p. 238.

Shove, G. F.—“Varying Costs and Marginal Net Products,” Economic Journal, Vol. 38, June, 1928, p. 258.

Robbins, Lionel,–“The Representative Firm”, Economic Journal, Vol. 38, September, 1928, p. 387.

Young, Allyn A.—“Increasing Returns and Economic Progress”, Economic Journal, December, 1928.

Schultz, Henry—Statistical Laws of Demand and Supply, 1928, Chap. IV.

————- “Marginal Productivity and the General Pricing Process”, Journal of Political Economy, Vol. 27, October, 1929, p. 505.

Amoroso, Luigi—“La Curva Statica di offerta”, Giornale degli Economisti, January, 1930.

Robertson, D. H., Shove, G.F., and Sraffa, P.—“Increasing Returns and the Representative Firm: a Symposium”, Economic Journal, Vol. 40, March, 1930, pp. 79ff.

Morgenstern, Oskar—“Offene Problem der Kosten- und Ertragstheorie”, Zeitschrift für Nationalökonomie, Band II, Heft 4, March, 1931, pp. 481ff.

Harrod, R. F.—“Notes on Supply, Economic Journal, Vol. 40, June, 1930, pp. 232 ff.

 

________________________________

Economics 402

Prof. Henry Schultz

REFERENCES ON MONOPOLISTIC COMPETITION

Cournot, A. A.—Mathematical Principles of the Theory of Wealth, (1838) Bacon’s Translation, Chaps. V-VIII.

Edgeworth, F. Y.—Mathematical Psychics, London, 1881, pp. 20 ff.

————- “Teoria pura del monoplio”, Giornale degli Economisti, November, 1897, pp. 13-31.

————- “The Pure Theory of Monopoly” and

————- “Professor Seligman on the Theory of Monopoly”, in Papers Relating to Political Economy, Vol. I, pp. 111-171.

Bertrand, Joseph—“Review of Walras and Cournot”, Journal des Savants, Paris, September, 1883, pp. 499-508.

Marshall, Alfred—Principles of Economics, 8th edition, Chap. XIV.

Pareto, Vilfredo—Cours d’économie politique, 1909, pp. 595-602.

————- Manuel d’économie politique, 1909, pp. 595-602.

————- “Économie mathématique”, Encyclopédie de Sciences mathématiques, Tome I, Vol 4, Fascicule 4 (1911), paragraph 14, pp. 604-608.

Fisher, Irving—“Cournot and Mathematical Economics”, Quarterly Journal of Economics, January, 1898, p. 126.

Moore, Henry L.—“Paradoxes of Competition”, Quarterly Journal of Economics, Vol. XX, 1906, pp. 211 ff.

Zawadski, Wl.—Les mathématiques appliquées à l’économie politique, Paris, 1914, pp. 68-75.

Amoroso, Luigi—Lezioni di Economia mathematica, 1921, pp. 254-272.

————- “La Curva Statica di offerta”, Giornale degli Economisti, January, 1930, especially pp. 11-20.

Edgeworth, F. Y.—Review of Amoroso’s Lezioni, Economie Journal, September, 1922, p. 400.

Clark, J. M.—Economics of Overhead Costs, 1923.

Bowley, Arthur L.—The Mathematical Groundwork of Economics, 1924, p. 38.

Young, Allyn A.—Review of Bowley, Journ. Amer. Stat. Assn., Vol. XX, March, 1925, p. 134.

Myrdal, Gunnar—“Prisbildnings Problemet och Föränderligheten”, Uppsala, 1927.

Wicksell, Knut—“Mathematische Nationalökonomie”, Arch. f. Sozialwiss. u. Sozialpol., 1927, pp. 252 ff.

Schumpeter, Joseph—“Zur Einführung der folgenden Arbeit Knut Wicksells”, Arch. f. Sozialwiss. u. Sozialpol., 1927.

Bowley, A. L.—“Bilateral Monopoly,” Economic Journal, Vol. 38, Dec., 1928, pp. 651 ff.

Schumpeter—“The Instability of Capitalism”, Economic Journal, 1928, pp. 369-70.

Hotelling, Harold—“Stability in Competition”, Economic Journal, Vol. 39, March, 1929, pp. 41-57.

Chamberlin, E. H.—“Duopoly: Value Where Sellers Are Few”, Quarterly Journal of Economics, Vol. XLIV, No. 1, Nov., 1929.

Pigou, Alfred [sic, Arthur]—Economics of Welfare, 3d edition, 1929, Chaps. XIV-XVII.

Evans, G. C.—Mathematical Introduction to Economics, 1930, Chaps. I and III [handwritten note “add solutions (Duopoly)”]

Nichol, Archibald Jamieson—“Partial Monopoly and Price Leadership,” 1930. (Published by the author.)

Schneider, Erich—“Zur Theorie des mehrfachen Monopols, insbesondere der des Duopols”, Archiv. f. Sozialwiss. u. Sozialpol., Vol. 63, Heft 3, 1930, pp. 539-555.

————- “Drei Probleme der Monopoltheorie”, Zeitschrift für Nationalökonomie, Band II, Heft 3, January, 1931, pp. 376-386.

Zeuthen, F.—Problems of Monopoly and Economic Warfare, London, 1930.

 

 

Source: Albert G. Hart Papers. Box 60, Folder “H. Schultz. Math Ec”. Rare Book and Manuscript Library. Columbia University.