Tjalling C. Koopmans
|Died||February 26, 1985 74) (aged|
|Alma mater|| University of Utrecht |
University of Leiden
|Known for|| Ramsey–Cass–Koopmans model |
|Awards||Nobel Memorial Prize in Economic Sciences (1975)|
|Doctoral advisor|| Hans Kramers |
|Doctoral students|| Carl Christ |
Tjalling Charles Koopmans (August 28, 1910 – February 26, 1985) was a Dutch American mathematician and economist. 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.
Leonid Vitaliyevich 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.
The Nobel Memorial Prize in Economic Sciences, commonly referred to as the Nobel Prize in Economics, is an award for outstanding contributions to the field of economics, and generally regarded as the most prestigious award for that field. The award's official name is The Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel.
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".
's-Graveland is a village in the Dutch province of North Holland. It is a part of the municipality of Wijdemeren, and lies about 4 km northwest of Hilversum. The former municipality of 's-Graveland merged with Loosdrecht and Nederhorst den Berg on 1 January 2002 to form the new municipality Wijdemeren.
The Netherlands, also called Holland, is a country located in Northwestern Europe with some overseas territories in the Caribbean. In Europe, it consists of 12 provinces that border Germany to the east, Belgium to the south, and the North Sea to the northwest, with maritime borders in the North Sea with those countries and the United Kingdom. Together with three island territories in the Caribbean Sea—Bonaire, Sint Eustatius and Saba—it forms a constituent country of the Kingdom of the Netherlands. The official language is Dutch, but a secondary official language in the province of Friesland is West Frisian.
Utrecht University is a university in Utrecht, the Netherlands. Established 26 March 1636, it is one of the oldest universities in the Netherlands. In 2016, it had an enrolment of 29,425 students, and employed 5,568 faculty and staff. In 2011, 485 PhD degrees were awarded and 7,773 scientific articles were published. The 2013 budget of the university was €765 million.
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. Also in 1948, he was elected as a Fellow of the American Statistical Association.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.
The United States of America (USA), commonly known as the United States or America, is a country comprising 50 states, a federal district, five major self-governing territories, and various possessions. At 3.8 million square miles, the United States is the world's third or fourth largest country by total area and is slightly smaller than the entire continent of Europe. With a population of over 327 million people, the U.S. is the third most populous country. The capital is Washington, D.C., and the most populous city is New York City. Most of the country is located contiguously in North America between Canada and Mexico.
Chicago, officially the City of Chicago, is the most-populous city in the U.S. state of Illinois and the third-most-populous city in the United States. With an estimated population of 2,705,994 (2018), it is also the most-populous city in the Midwest. Chicago is the county seat of Cook County, the second-most-populous county in the US, and portions of the city extend westward into neighboring DuPage County. It is the principal city of the Chicago metropolitan area, often referred to as Chicagoland. At nearly 10 million people, the metropolitan area is the third-most-populous in the nation.
The Cowles Foundation for Research in Economics is an economic research institute at Yale University. It was created as the Cowles Commission for Research in Economics at Colorado Springs in 1932 by businessman and economist Alfred Cowles. In 1939, the Cowles Commission moved to the University of Chicago under Theodore O. Yntema. Jacob Marschak directed it from 1943 until 1948, when Tjalling C. Koopmans assumed leadership. Increasing opposition to the Cowles Commission from the department of economics of the University of Chicago during the 1950s impelled Koopmans to persuade the Cowles family to move the commission to Yale University in 1955 where it became the Cowles Foundation.
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 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).
Koopmans' theorem states that in closed-shell Hartree–Fock theory (HF), the first ionization energy of a molecular system is equal to the negative of the orbital energy of the highest occupied molecular orbital (HOMO). This theorem is named after Tjalling Koopmans, who published this result in 1934.
Quantum chemistry is a branch of chemistry whose primary focus is the application of quantum mechanics in physical models and experiments of chemical systems. It is also called molecular quantum mechanics.
Production is a process of combining various material inputs and immaterial inputs in order to make something for consumption (output). It is the act of creating an output, a good or service which has value and contributes to the utility of individuals. The area of economics that focuses on production is referred to as production theory, which in many respects is similar to the consumption theory in economics.
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".
In several cultures, a middle name is a portion of a personal name that is written between the person's given name and their surname. A person may be given a middle name regardless of whether it's necessary to distinguish them from other people with the same given name and surname. In cultures where a given name is expected to precede the surname, additional names are likely to be placed after the given name and before the surname, and thus called middle names. In English-speaking American culture, that term is often applied to names occupying that position even if the bearer would insist that that name is being mistakenly called a "middle name", and is actually :
A patronymic, or patronym, is a component of a personal name based on the given name of one's father, grandfather, or an earlier male ancestor. A component of a name based on the name of one's mother or a female ancestor is a matronymic. Each is a means of conveying lineage.
One of Sjoerd Koopmans' sisters, Gatske Koopmans, and her husband Symon van der Meer were the paternal grandparents of Nobel Prize winner Simon van der Meer.Tjalling Koopmans and Simon van der Meer were therefore first cousins once removed.
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, two of the most fundamental constituents of matter.
Tjalling had two brothers, one of whom was theologist and reverend 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.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.
|journal=(help) Cowles Foundation Paper No. 357.
Jan Tinbergen was an important Dutch economist. He 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. It has been argued that the development of the first macroeconometric models, the solution of the identification problem, and the understanding of dynamic models are his three most important legacies to econometrics. Tinbergen was a founding trustee of Economists for Peace and Security. In 1945, he founded the Bureau for Economic Policy Analysis (CPB) and was the agency's first director.
Lawrence Robert Klein was an American economist. For his work in creating computer models to forecast economic trends in the field of econometrics in the Department of Economics at the University of Pennsylvania, he was awarded the Nobel Memorial Prize in Economic Sciences in 1980 specifically "for the creation of econometric models and their application to the analysis of economic fluctuations and economic policies." Due to his efforts, such models have become widespread among economists. Harvard University professor Martin Feldstein told the Wall Street Journal that Klein "was the first to create the statistical models that embodied Keynesian economics," tools still used by the Federal Reserve Bank and other central banks.
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 is an American economist, and a recipient of the 1989 John von Neumann Theory Prize and the 1990 Nobel Memorial Prize in Economic Sciences.
Edmund Strother Phelps is an American economist and the recipient of the 2006 Nobel Memorial Prize in Economic Sciences.
In statistics, a unit root test tests whether a time series variable is non-stationary and possesses a unit root. The null hypothesis is generally defined as the presence of a unit root and the alternative hypothesis is either stationarity, trend stationarity or explosive root depending on the test used.
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.
Jean Tirole is a French professor of economics. He focuses on industrial organization, game theory, banking and finance, and economics and psychology. In 2014 he was awarded the Nobel Memorial Prize in Economic Sciences for his analysis of market power and regulation.
In statistics, the Durbin–Watson statistic is a test statistic used to detect the presence of autocorrelation at lag 1 in the residuals from a regression analysis. It is named after James Durbin and Geoffrey Watson. The small sample distribution of this ratio was derived by John von Neumann. Durbin and Watson applied this statistic to the residuals from least squares regressions, and developed bounds tests for the null hypothesis that the errors are serially uncorrelated against the alternative that they follow a first order autoregressive process. Later, John Denis Sargan and Alok Bhargava developed several von Neumann–Durbin–Watson type test statistics for the null hypothesis that the errors on a regression model follow a process with a unit root against the alternative hypothesis that the errors follow a stationary first order autoregression. Note that the distribution of this test statistic does not depend on the estimated regression coefficients and the variance of the errors.
Leonid "Leo" Hurwicz was a Polish-American economist and mathematician, known for his work in game theory and mechanism design. He originated the concept of incentive compatibility, and showed how desired outcomes can be achieved by using incentive compatible mechanism design. Hurwicz shared the 2007 Nobel Memorial Prize in Economic Sciences for his seminal work on mechanism design. Hurwicz was one of the oldest Nobel Laureate, having received the prize at the age of 90.
The Sargan–Hansen test or Sargan's test is a statistical test used for testing over-identifying restrictions in a statistical model. It was proposed by John Denis Sargan in 1958, and several variants were derived by him in 1975. Lars Peter Hansen re-worked through the derivations and showed that it can be extended to general non-linear GMM in a time series context.
Mathematical economics is the application of mathematical methods to represent theories and analyze problems in economics. By convention, these applied methods are beyond simple geometry, such as differential and integral calculus, difference and differential equations, matrix algebra, mathematical programming, and other computational methods. Proponents of this approach claim that it allows the formulation of theoretical relationships with rigor, generality, and simplicity.
Alok Bhargava is an Indian econometrician. He studied mathematics at Delhi University and economics and econometrics at the London School of Economics. He is currently a full professor at the University of Maryland School of Public Policy.
John Denis Sargan was a British econometrician who specialized in the analysis of economic time-series.
The Shapley–Folkman lemma is a result in convex geometry with applications in mathematical economics that describes the Minkowski addition of sets in a vector space. Minkowski addition is defined as the addition of the sets' members: for example, adding the set consisting of the integers zero and one to itself yields the set consisting of zero, one, and two:
Charles Frederick Roos was an American economist who made contributions to mathematical economics. He was one of the founders of the Econometric Society together with American economist Irving Fisher and Norwegian economist Ragnar Frisch in 1930. He served as Secretary-Treasurer during the first year of the Society and was elected as President in 1948. He was director of research of the Cowles Commission from September 1934 to January 1937.
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Friedrich August von Hayek
| Laureate of the Nobel Memorial Prize in Economics |
Served alongside: Leonid Vitaliyevich Kantorovich