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Tjalling Koopmans


Tjalling Koopmans

Tjalling C. Koopmans
Born (1910-08-28)August 28, 1910
's-Graveland, Netherlands
Died February 26, 1985(1985-02-26) (aged 74)
New Haven, Connecticut, USA
Nationality Netherlands
Fields Economics, Physics
Alma mater University of Utrecht
University of Leiden
Doctoral advisor Hans Kramers
Jan Tinbergen
Doctoral students Leonid Hurwicz
Known for Ramsey–Cass–Koopmans model
Koopmans' theorem
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.


  • Biography 1
  • Selected works 2
  • Further reading 3
  • External links 4


Koopmans (1967)

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).

Selected works

  • Koopmans, Tjalling (1942). Serial correlation and quadratic forms in normal variables. Annals of Mathematical Statistics, 13, 14–33.
  • Koopmans, Tjalling and Montias, J. M. (1971). On the Description and Comparison of Economic Systems. Cowles Foundation Paper No. 357 (1971).
  • Koopmans, Tjalling C., "Concepts of optimality and their uses", Nobel Memorial Lecture, December 11, 1975

Further reading

External links

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