For an earlier posting I transcribed a core list of references for the course on mathematical economics, Economics 402, taught by Henry Schultz at the University of Chicago during the Spring quarter, 1932. That list was found in the papers of Albert G. Hart in the Columbia University archives. A virtually identical core list of references was found in George Stigler’s papers at the University of Chicago archives in a folder labeled “1935 Univ. of Chicago Class notes”. Only a few handwritten additions differ between the two copies.
The “Stigler edition” of the Economics 402 list of references probably comes from the 1935 autumn quarter. There are two reasons to think this besides simply trusting the accuracy of the folder’s label. Stigler’s preliminary examinations for the doctorate must have been taken in May 1935 according to a mimeographed copy of the examination schedules located in this same folder. Mathematical economics was considered a specialized field at the time and was unlikely to have been the subject of the preliminary examination in theory; further, one of the handwritten additions was a reference to an August 1935 paper by Henry Schultz.
The value-added of today’s transcription of the “Stigler edition” compared to the earlier “Hart edition“ is that I have gone to great lengths to provide links to the overwhelming majority of items below. The links to jstor.org are free only to those with access to a research library’s e-resource, but a surprising amount of the stuff is out there and downloadable for free. The posting with the “Hart edition” also includes Schultz’s reference lists for Cost Theory and the Theory of Monopolistic Competition that were not found in the Stigler papers.
I suspect that Stigler only audited Economics 402 because we find only about five pages of his own notes for the course in that folder. In comparison for Schultz’s other course, Theory and Measurement of Demand (Economics 405), one finds about forty pages of notes.
There is one problem with one row in the table of references that I have highlighted in boldface blue. The dates given for the Journal of the American Statistical Association are not associated with papers written by Henry L. Moore nor do any of the papers in the issues noted appear to have papers of particular interest for mathematical economics expect perhaps that by Karl G. Karsten: The Theory of Quadrature in Economics. JASA March, 1924 [Link to jstor.org]. Henry L. Moore’s list of publications only shows a single March 1922 publication in JASA, but many papers in QJE.
___________________
Course Announcements, 1935-36, 1932-33
- Mathematical Economics.— Prerequisite: Economics 301 [Price and Distribution Theory], a reading knowledge of French, and consent of the instructor. Registration for a course or a double course. Autumn, SCHULTZ.
Source: University of Chicago. Announcements, The College and the Divisions for the Sessions of 1935-36, p. 297
- 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, Autumn, SCHULTZ.
Source: University of Chicago. Announcements, Arts, Literature and Science, vol. XXXII, February 25, 1932, no. 12 (for the sessions of 1932-33), p. 355.
________________________________
[Autumn Quarter 1935]
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. [Link to jstor.org] | |
| La Curva Statica di Offerta—Giornale degli Economisti, January, 1930. [Link to jstor.org] [English translation: Link to jstor.org] | |
| Annals of the American Academy of Political & Social Science | July, 1892 (Paper by Walras) [Link to jstor.org] |
| Auspitz, Rudolf Lieben, Richard |
Recherches sur la théorie du prix [Volume I, Volume II] |
| Bentham, Jeremy | Principles of Morals and Legislation [Volume I, Volume II] |
| 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. D. | [Introduction to] Production Economics [New York, 1926] |
| Bonar, James | Philosophy and Political Economy |
| Bousquet, G. H. | Essai sur l’évolution de la Pensée économique [1927] |
| Précis de sociologie d’àpres Vilfredo Pareto [Paris, 1925] | |
| Vilfredo Pareto: Sa vie et son oeuvre | |
| Boven, Pierre | Les applications mathématiques à l’économie politique [Lausanne, 1912]. |
| 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. [link to jstor.org] |
| Dicey | Law and Opinion in England |
| Edgeworth, F. Y. | Mathematical Psychics |
| Papers relating to Political Economy [Volume I; Volume II; Volume III.] | |
| 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. |
| [Ricci, Umberto] | Elasticità dei bisogni, della domanda e dell’offerta. Giornale degli Economisti Aug. & Oct., 1924.
Link to Part I in jstor.org; link to Part II in jstor.org. |
| Halévy, Élie | La formation du radicalism philosophique [Vol. I. La Jeunesse de Bentham, 1901; Vol. II. L’Évolution de la Doctrine Utilitaire de 1789 a 1815, 1901; Vol. III. Le Radialisme Philosophique, 1904.] |
| Hobson, E. W. | The Domain of Natural Science |
| Jevons, W. S. | Theory of Political Economy [Third edition] |
| 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 |
Schultz, Henry. The Statistical Law of Demand as Illustrated by the Demand for Sugar, Part I. J.P.E. (Oct., 1925), pp. 481-504. [Link to jstor.org]
Schultz, Henry. The Statistical Law of Demand as Illustrated by the Demand for Sugar, Part II. J.P.E. (Dec., 1925, pp. 577-631. [Link to jstor.org] Ezekiel, Mordecai. A Statistical Examination of Factors Related to Lamb Prices. J.P.E. (Apr., 1927), pp. 233-260. [Link to jstor.org] |
| Marshall, Alfred | Principles of Economics [Eight edition] |
| 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 |
| Nichol, A. J. | Partial Monopoly and Price Leadership (Privately published)
[cf. “A Re-appraisal of Cournot’s Theory of Duopoly Price”, Journal of Political Economy (Feb. 1934), pp. 80-105. Link to jstor.org] |
| Pantaleoni, M. | Pure Economics |
| Pareto, Vilfredo | Manuel d’économie politique |
| Cours d’économie politique [Volume 1, Volume 2] | |
| 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 [Link to jstor.org] | |
| Traité de sociologie générale [Volume I; Volume II] | |
| Pearson, Karl | Grammar of Science |
| Pietri-Tonelli, Alfonso | Traité d’économie rationelle [H. Gamier translation from 3rd Italian edition. Paris, 1927] |
| Pigou, Alfred [sic, Arthur] | Economics of Welfare [4th edition, 1920. ] |
| Planck, Max | A Survey of Physics |
| Poincaré, Henri | Foundations of Science |
| Political Science Quarterly (Paper by Mitchell) |
Vol. XXXIII, June, 1918, No. 2, pp. 164-5 [Part II of “Bentham’s Felicific Calculus”. Link to jstor.org] |
| Quarterly Journal of Economics Jan. 1898; Aug. 1925; Nov. 1926; March[sic] 1927 |
Irving Fisher. “Cournot and Mathematical Economics (Jan., 1898), pp. 119-138. [Link to jstor.org]. And “Appendix: Notes on Cournot’s Mathematics”, pp. 238-244. [Link to jstor.org]
Holbrook Working “The Statistical Determination of Demand Curves” (August, 1925), pp. 503-543. [Link to jstor.org] Henry Ludwell Moore. “A Theory of Economic Oscillations” (Nov., 1926), pp. 1-29. [Link to jstor.org] E. J. Working. “What Do Statistical ‘Demand Curves’ Show?” (Feb., 1927, pp. 212-235. [Link to jstor.org] |
| Revue d’histoire des doctrines économique et sociales | 1910 (Article by Antonelli on Léon Walras) [Link to jstor.org] |
| Revue d’histoire économique et sociale (1924), pp. 225-43 |
G. H. Bousquet. “Vilfredo Pareto — Le Développement et la Signification Historique de son Œuvre”, Vol. 12, No. 2. [Link to jstor.org] |
| Revue de metaphysique et de morale | (13) 1905 (Section on Cournot) [pp. 291-543] |
| Ricci, Umberto | Die statistischen Gesetze des Gleichgewichtes nach Henry Schultz—in Zeitschrift für Nationalökonomie, January, 1931 |
| Schultz, Henry | [Handwritten addition] Interrelation of Demand, Income and Price J.P.E. Aug. 1935 [Link to jstor.org]
Statistical Laws of Demand and Supply […with Special Application to Sugar. University of Chicago Press, 1938] |
| Marginal Productivity and the General Pricing Process, —Journ. Polit. Econ., Oct. 1929. [Link to jstor.org] | |
| Der Sinn der statistischen Nachfragekurven [Vol 10 of Frankfurter Gesellschaft für Konjunkturforschung, 1939[Handwritten addition] Interrelations of Demand J.P. E. Aug. 1933 [Link to jstor.org] |
|
| 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 | |
| Éléments d’économie politique | |
| Wicksteed, Philip | The Alphabet of Economic Science |
| Common Sense of Political Economy | |
| Stephen, Leslie | The [English] Utilitarians [Vol. I. Jeremy Bentham; Vol. II. James Mill; Vol. III. John Stuart Mill (1900). ] |
| Zawadzki, Wl. | Les mathématiques appliquées à l’économie politique |
| Zeuthen, F. L. | Problems of Monopoly and Economic Welfare |
________________________________
Specific References to Pareto by Schultz
A ten-page handout prepared by Schultz for Economics 402 “General Laws of Individual Demand and Supply (after Pareto)” includes much more specific references to Pareto’s works, the first of which is a new item.
Vilfredo Pareto
- Giornale degli Economisti, 1892, pp. 119-157, 1893, pp. 279-321.
[Considerazioni Sui Principii Fondamentali Dell’Economia Politica Pura
jstor link to May 1892, Volume 4, pp. 389-420;
jstor link to June 1892, Volume 4, pp. 485-512;
jstor.org link to August 1892, Volume 5, pp. 119-157;
jstor.org link to January 1893, Volume 6, pp. 1-37;
jstor.org link to October 1893, Volume 7, pp. 279-321.
English translation: Considerations on the Fundamental Principles of Pure Political Economy (edited by Roberto Marchionatti and Fiorenzo Mornati), London: Routledge, 2007.
- Cours d’économie politique (1896-7) Vol. II, § 977. [Volume I; Volume II]
- Manuel d’économie politique (1909) Appendix, §§52-62, pp. 579-591.
- Article on “Économie mathématique,” Encyclopédie des Sciences Mathématiques, Tome I, Vol. 4, Fascicule 4 (1911), 33 32-35.
Source: University of Chicago Archives. Papers of George Stigler. Addenda, Box 33. Folder “1935 University of Chicago Class Notes”.
Image Source: Henry Schultz (detail from group picture of the Cowles Commission’s 4th Annual Research Conference on Economics and Statistics at Colorado Springs, July 20, 1938)