Tjalling C. Koopmans | |
---|---|
![]() Koopmans in 1967 | |
Born | |
Died | February 26, 1985 74) | (aged
Nationality | Dutch, American |
Alma mater | University of Utrecht University of Leiden |
Known for | Transport economics Hitchcock–Koopmans transportation problem Ramsey–Cass–Koopmans model Koopmans' theorem |
Awards | Nobel Memorial Prize in Economic Sciences (1975) |
Scientific career | |
Fields | Economics, Physics |
Institutions | University of Chicago |
Doctoral advisor | Hans Kramers Jan Tinbergen |
Doctoral students | Carl Christ Stanley Reiter Rolf Mantel Guillermo Calvo |
Tjalling Charles Koopmans (August 28, 1910 – February 26, 1985) was a Dutch-American mathematician and economist. [1] [2] He was the joint winner with Leonid Kantorovich of the 1975 Nobel Memorial Prize in Economic Sciences for his work on the theory of the optimum allocation of resources. Koopmans showed that on the basis of certain efficiency criteria, it is possible to make important deductions concerning optimum price systems.
Koopmans was born in 's-Graveland, Netherlands. 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 winner of the 1969 Nobel Memorial Prize in Economics 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, under the direction of Hendrik Kramers. The title of the thesis was "Linear regression analysis of economic time series". [3] He also worked for the Economic and Financial Organization of the League of Nations. [4] : 28
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, the 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. Also in 1948, he was elected as a Fellow of the American Statistical Association. [5] In 1950, he became a corresponding member of the Royal Netherlands Academy of Arts and Sciences. [6] 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. [7]
Koopmans's 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 memorial 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).
Tjalling Charles Koopmans was a son of Sjoerd Koopmans and Wytske van der Zee; his middle name Charles was probably derived from his patronymic "Sjoerds". [8]
One of Sjoerd Koopmans's sisters, Gatske Koopmans, and her husband Symon van der Meer were the paternal grandparents of Nobel Prize winner Simon van der Meer. [9] [10] Tjalling Koopmans and Simon van der Meer were therefore first cousins once removed.
Tjalling had two brothers, one of whom was theologian Rev. Dr Jan Koopmans, who in 1940, early during the German occupation of the Netherlands, wrote the widely distributed pamphlet "Bijna te laat" ("Almost too late", 30,000 copies), warning about the future of the Jews under the Nazi regime. [11] In 1945, towards the end of the war, he witnessed an execution of hostages in Amsterdam from behind a window and was mortally wounded by a stray bullet. [12] [13]
Koopmans married Truus Wanningen in October 1936. The couple had three children - a son, Henry, and two daughters, Anne and Helen.
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(help) Cowles Foundation Paper No. 357.Jan Tinbergen was a Dutch economist who was awarded the first Nobel Memorial Prize in Economic Sciences in 1969, which he shared with Ragnar Frisch for having developed and applied dynamic models for the analysis of economic processes. He is widely considered to be one of the most influential economists of the 20th century and one of the founding fathers of econometrics.
Leonid Vitalyevich Kantorovich was a Soviet mathematician and economist, known for his theory and development of techniques for the optimal allocation of resources. He is regarded as the founder of linear programming. He was the winner of the Stalin Prize in 1949 and the Nobel Memorial Prize in Economic Sciences in 1975.
Gérard Debreu was a French-born economist and mathematician. Best known as a professor of economics at the University of California, Berkeley, where he began work in 1962, he won the 1983 Nobel Memorial Prize in Economic Sciences.
Harry Max Markowitz was an American economist who received the 1989 John von Neumann Theory Prize and the 1990 Nobel Memorial Prize in Economic Sciences.
Simon van der Meer was a Dutch particle accelerator physicist who shared the Nobel Prize in Physics in 1984 with Carlo Rubbia for contributions to the CERN project which led to the discovery of the W and Z particles, the two fundamental communicators of the weak interaction.
A macroeconomic model is an analytical tool designed to describe the operation of the problems of economy of a country or a region. These models are usually designed to examine the comparative statics and dynamics of aggregate quantities such as the total amount of goods and services produced, total income earned, the level of employment of productive resources, and the level of prices.
Hirofumi Uzawa was a Japanese economist.
Lars Peter Hansen is an American economist. He is the David Rockefeller Distinguished Service Professor in Economics, Statistics, and the Booth School of Business, at the University of Chicago and a 2013 recipient of the Nobel Memorial Prize in Economics.
David Cass was a professor of economics at the University of Pennsylvania, mostly known for his contributions to general equilibrium theory. His most famous work was on the Ramsey–Cass–Koopmans model of economic growth.
The Cowles Foundation for Research in Economics is an economic research institute at Yale University.
Donald Wilfrid Kao Andrews is a Canadian economist. He is the Tjalling Koopmans Professor of Economics at the Cowles Foundation, Yale University. Born in Vancouver, he received his B.A. in 1977 at the University of British Columbia, his M.A. in 1980 in statistics at the University of California, Berkeley, and his Ph.D. in economics in 1982 also from the University of California, Berkeley.
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Mathematical economics is the application of mathematical methods to represent theories and analyze problems in economics. Often, these applied methods are beyond simple geometry, and may include differential and integral calculus, difference and differential equations, matrix algebra, mathematical programming, or other computational methods. Proponents of this approach claim that it allows the formulation of theoretical relationships with rigor, generality, and simplicity.
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John Denis Sargan, FBA was a British econometrician who specialized in the analysis of economic time-series.
In economics, non-convexity refers to violations of the convexity assumptions of elementary economics. Basic economics textbooks concentrate on consumers with convex preferences and convex budget sets and on producers with convex production sets; for convex models, the predicted economic behavior is well understood. When convexity assumptions are violated, then many of the good properties of competitive markets need not hold: Thus, non-convexity is associated with market failures, where supply and demand differ or where market equilibria can be inefficient. Non-convex economies are studied with nonsmooth analysis, which is a generalization of convex analysis.
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