|Tjalling C. Koopmans|
August 28, 1910|
|Died||February 26, 1985
New Haven, Connecticut, USA
|Alma mater||University of Utrecht
University of Leiden
|Doctoral advisor||Hans Kramers
|Doctoral students||Leonid Hurwicz|
|Known for||Ramsey–Cass–Koopmans model
|Influenced||John Denis Sargan, Alok Bhargava, Trygve Haavelmo|
|Notable awards||Nobel Memorial Prize in Economic Sciences (1975)|
Tjalling Charles Koopmans (August 28, 1910 – February 26, 1985) was a Dutch American mathematician and economist, the joint winner with Leonid Kantorovich of the 1975 Nobel Memorial Prize in Economic Sciences.
Koopmans was born in 's-Graveland, North Holland. He began his university education at the Utrecht University at seventeen, specializing in mathematics. Three years later, in 1930, he switched to theoretical physics. In 1933, he met Jan Tinbergen, the 1969 Bank of Sweden prize winner, and moved to Amsterdam to study mathematical economics under him. In addition to mathematical economics, Koopmans extended his explorations to econometrics and statistics. In 1936 he graduated from Leiden University with a PhD. The title of the thesis was "Linear regression analysis of economic time series".
Koopmans moved to the United States in 1940. There he worked for a while for a government body in Washington D.C., where he published on the economics of transportation focusing on optimal routing, then moved to Chicago where he joined a research body Cowles Commission for Research in Economics affiliated with the University of Chicago. In 1946, he became a naturalized citizen of the United States and in 1948 director of the Cowles Commission. Rising hostile opposition to the Cowles Commission by the department of economics at University of Chicago during the 1950s led Koopmans to convince the Cowles family to move it to Yale University in 1955 (where it was renamed the Cowles Foundation). He continued to publish, on the economics of optimal growth and activity analysis.
Koopmans' early works on the Hartree–Fock theory are associated with the Koopmans' theorem, which is very well known in quantum chemistry. Koopmans was awarded his Nobel prize (jointly with Leonid Kantorovich) for his contributions to the field of resource allocation, specifically the theory of optimal use of resources. The work for which the prize was awarded focused on activity analysis, the study of interactions between the inputs and outputs of production, and their relationship to economic efficiency and prices. Finally, the importance of the article by Koopmans (1942) deriving the distribution of the serial correlation coefficient was recognized by John von Neumann, and it later influenced the optimal tests for a unit root by John Denis Sargan and Alok Bhargava (Sargan and Bhargava, 1983).
- Koopmans, Tjalling C. (March 1942). "Serial correlation and quadratic forms in normal variables". Annals of Mathematical Statistics (Institute of Mathematical Statistics) 13 (1): 14–33. doi:10.1214/aoms/1177731639. JSTOR 2236158.
- Koopmans, Tjalling C.; Montias, J.M. (1971). "On the Description and Comparison of Economic Systems". Cowles Foundation Paper No. 357.
- Koopmans, Tjalling C. (December 11, 1975). Nobel Memorial Lecture: Concepts of optimality and their uses (PDF).
- Koopmans, Tjalling C.; Debreu, Gérard (December 1982). "Additively decomposed quasiconvex functions". Mathematical Programming (Springer) 24 (1): 1–38. doi:10.1007/BF01585092.
- Hughes Hallett, Andrew J. (1989). "Econometrics and the Theory of Economic Policy: The Tinbergen–Theil Contributions 40 Years On". Oxford Economic Papers 41 (1): 189–214. JSTOR 2663189.
- Sargan, J. D.; Bhargava, Alok (1983). "Testing residuals from least squares regressions for being generated by the Gaussian random walk". Econometrica 51 (1): 153–174. JSTOR 1912252.
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- Nobel autobiography
- Scarf, Herbert E., "Tjalling Charles Koopmans: August 28, 1910 – February 26, 1985", National Academy of Science
- Tjalling Koopmans at the Mathematics Genealogy Project
- Tjalling Charles Koopmans (1910–1985). The Concise Encyclopedia of Economics. Library of Economics and Liberty (2nd ed.) (Liberty Fund). 2008.
- Biography of Tjalling Koopmans from the Institute for Operations Research and the Management Sciences