Topics in advanced economic theory in 1965 was taught at M.I.T. by Robert Solow. The topics discussed were uncertainty and capital theory. This post provides information that was found stored in three different folders in Robert Solow’s papers at the Economists’ Papers Archive at Duke University. Together in one place we now have the reading lists for the topics, the final exam questions and even the class list. For the little it is worth knowing, Robert Hall of Stanford and William Nordhaus of Yale were awarded A’s in the course. I certainly hope that their scientific reputations will not be affected by that revelation.
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Spring 1965
14.192 Advanced Economic Theory
I. Economics of Uncertainty
K. Arrow, “Alternative Approaches…,” Econometrica, October 1951.
D. Bernoulli, “Exposition of a New Theory…,” Econometrica, January 1954.
M. Friedman and L. J. Savage, “Utility Analysis…,” JPE, August, 1948, also in Readings in Price Theory.
H. Markowitz, “The Utility of Wealth,” JPE, April, 1952.
I. Herstein and J. Milnor, “An Axiomatic Approach…,” Econometrica, April, 1953.
J. Pratt, “Risk Aversion…,” Econometrica, January-April 1964.
H. Latané, “Criteria for Choice Among Risky Ventures,” JPE, April, 1959.
J. Tobin, “Liquidity Preference…,” Rev. of Econ. Stud., February, 1958.
K. Arrow, “The Role of Securities…,” Rev. of Econ. Stud., April, 1964.
J. Hirschleifer, “Efficient Allocation…,” AER, May, 1964, 77-96 (including relevant discussion)
K. Arrow, “Uncertainty and the Economics of Medical Care,” AER, December, 1963.
Source: Duke University. David M. Rubenstein Rare Book and Manuscript Library, Economists’ Papers Archives. Robert M. Solow papers, Box 68, Folder “Reading Lists”.
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Spring 1965
14.192 Advanced Economic Theory
Reading List on Capital Theory
I. Fisher: Theory of Interest, passim.
K. Wicksell: Lectures on Political Economy, Vol. I, Part II and Appendix on Akerman.
O. Lange: “the Place of Interest…”, Rev. of Econ. Studies, 1935-1936.
L. Metzler: “Rate of Interest and…”, JPE 1950, “Corrections”, JPE 1951.
P. Samuelson: “Some Aspects of the Pure Theory…”, QJE 1937
___________: “Rate of Interest under Ideal Conditions”, QJE 1939.
T. Koopmans: Three Essays on the State of Economics, pp. 105-126.
R. Radner: Notes on the Theory of Economic Planning.
E. Malinvaud: “The Analogy between…”, Rev. of Econ. Studies, 1961.
R. Solow: “Substitution and Fixed Proportions…”, Rev. of Econ. Studies, June 1962
________: Capital Theory and the Rate of Return, Chapters 1, 2.
E. Phelps: “Substitution, Fixed Proportions,….”, International Economic Review, September 1963.
K. Arrow: “…Learning by Doing”, Rev. of Econ. Studies, June 1962.
R. Findlay: “The Robinsonian Model…”, Economica, February 1963 and “Comments” by Robinson and Findlay, Economica, November 1963.
Source: Duke University. David M. Rubenstein Rare Book and Manuscript Library, Economists’ Papers Archives. Robert M. Solow papers, Box 67, Folder “14.192 Capital Theory”.
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Final Examination
14.192 Advanced Economic Theory
Spring 1965
- Suppose Caius, a Petersburg merchant, has purchased commodities in Amsterdam which he could sell for 10,000 rubles if he had them in Petersburg. He therefore orders them to be shipped by sea, but is in doubt whether to insure them. He is well aware that at this time of year, of 100 ships which sail from Amsterdam to Petersburg, 5 are usually lost. How much wealth must Caius possess apart from the goods under consideration in order that it be sensible for him to abstain from insuring the shipment at a price of 800 rubles? And what fortune should be possessed by the man who offers to provide this insurance in order for him to be rational in doing so? Work out for an arbitrary utility function and specialize to the logarithmic case.
- In a perfectly competitive economy, it requires c (X) many years of labor, and nothing else, to build a machine which requires X men to operate it and has a capacity of one unit of output a year. The wage in terms of output is w and is expected to be constant forever. The market rate of interest is r, also constant. For given w, find the competitive equilibrium values of x and r. How does x change with w?
- By investing one unit of labor now (at real wage w) you can start a yoghurt-process. T units of time later, by investing one more unit of labor you can collect f (T) units yoghurt and start another identical yoghurt-process. There is a competitive capital market. You intend this yoghurt business to go on forever at the scale of one process. Discuss the determination of the best T, and implications for r and w.
- An investor with wealth W must divide it between holding cash, M, and holding one-year bonds in value B, paying interest at rate r. The return of principal is sure but the interest rate is random. Interest income is subject to a proportional tax at rate t. If the investor is a Bernoullian expected-utility maximizer and a risk-averter, how will his holding of bonds respond to a change in the tax rate? Explain the economics of your answer.
Source: Duke University. David M. Rubenstein Rare Book and Manuscript Library, Economists’ Papers Archives. Robert M. Solow papers, Box 68, Folder “Examinations and Quizzes”.
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From the Final Grade Sheet
Second Term 1964-65
Subject number: 14.192
Subject name: Economics Seminar
Staff member in charge: [signed] R. M. Solow
Graduate students of economics who were awarded grades
[There were 5 A’s and 7 B’s]:
Bing, Peter C.
Bischoff, Charles W.
Blackburn, Anthony J.
Carter, D. Nicholas G.
Hall, Robert E.
Havens, John J. Jr.
Kamiya, Denzo [Emeritus Professor,Keio Univ.]
Kheir El Dine, H. Miss
Mazur, Michael P.
Moskowitz, Warren E.
Nordhaus, William D.
Schulson, Louis J.
Source: Duke University. David M. Rubenstein Rare Book and Manuscript Library, Economists’ Papers Archives. Robert M. Solow papers, Box 68, Folder “Examinations and Quizzes”.
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(Preliminary) Class List
14.192 ADVANCED ECONOMIC THEORY
W 1:00-3:00
Professor Robert M. Solow
Bing, Peter C.
Bischoff, Charles W.
Blackburn, Anthony J.
Carter, D. Nicholas G.
Chacholiades, Miltiades LISTENER
DeMenil, George F. DROPPED APRIL 13, 1965
Hall, Robert E.
Havens, John J. Jr.
Kamiya, Denzo
Kheir El Dine, H.
Mazur, Michael P.
Moskowitz, Warren E.
Schulson, Louis J.
Suva, Felipe
Wales, Terrence J. LISTENER
Cohen, Malcolm S. LISTENER
Stiglitz, Joseph
La Malfa, Giorgio LISTENER
Note: William Nordhaus who received a grade in the course was not included in this preliminary class list. Felipe Suva and Joseph Stiglitz appear on this list but were not included in the gradesheet.
Source: Duke University. David M. Rubenstein Rare Book and Manuscript Library, Economists’ Papers Archives. Robert M. Solow papers, Box 68, Folder “Reading Lists”.
Image Source: Robert Merton Solow at the M.I.T. Museum website.