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Tjalling Charles Koopmans ( 1910-1986 )

Tjalling Charles KoopmansTjalling Charles Koopmans nació en Gravelinas, Holanda. Al iniciarse la segunda guerra mundial, emigró a los Estados Unidos donde se nacionalizó. Obtuvo el Premio Nobel de Economía en 1975, compartido con el economista soviético Leonid Vitaliyevich Kantorovich por sus contribuciones a la teoría de la óptima localización de recursos.

Koopmans estudió física y matemáticas en la Universidad de Utrecht y se doctoró en estadística y economía en la Universidad de Leiden. Fue asesor financiero de la Sociedad de Naciones en Ginebra (1938-1940). Ha sido profesor en las Universidades de Chicago (1946-1955) y Yale. Director de la Cowles Commission (1944-1954) y miembro de la Cowles Foundation en Yale (1961-1967).


  • Linear Regression Analysis of Economic Time Series, 1937.

  • "The Logic of Econometric Business Cycle Research", 1941, JPE.

  • "Statistical Estimation of Simultaneous Economic Relations", 1945, JASA.

  • "Measurement without Theory", 1947, REStat.

  • "A Reply to Vining", 1949, REStat.

  • "Identification Problems in Economic Model Construction" 1949, Econometrica

  • "Optimum Utilization of the Transportation System", 1949, Proceedings of the International Statistical Conference

  • "The Econometric Approach to Business Fluctuations", 1949, AER.

  • "Utility Analysis of Decisions Affecting Future Well-Being", 1950, Econometrica

  • Editor of Statistical Inference in Dynamic Economic Models, 1950.

  • "The Identification of Structural Characteristics" with O. Reiersol, 1950, Annals of Mathematical Statistics

  • "Efficient Allocation of Resources", 1951, Econometrica.

  • "A Model of Transportation", with S.Reiter, in Koopmans, 1951.

  • "Analysis of Production as an Efficient Combination of Activities", in Koopmans, 1951.

  • Editor of Activity Analysis of Production and Allocation, 1951.

  • "Activity Analysis and Its Applications", 1953, AER.

  • Three Essays on the State of Economic Science, 1957.

  • "Assignment Problems and the Location of Economic Activities" with M.J. Beckmann, 1957, Econometrica

  • "Water Storage Policy in a Simplified Hydroelectric System" 1957, in Proceedings of the First International Conference on Operational Research

  • "Selected Topics in Economics Involving Mathematical Reasoning" with A.F. Bausch, 1959, SIAM Review

  • "Stationary Ordinal Utility and Impatience", 1960, Econometrica.

  • "Convexity Assumptions, Allocative Efficiency and Competitive Equilibrium", 1961, JPE.

  • "On Flexibility of Future Preferences", 1964 in Bryan and Shelley, editors, Human Judgments and Optimality.

  • "Economic Growth at a Maximal Rate", 1964, QJE.

  • "Stationary Utility and Time Preference", with P. Diamond and R.E. Williamson, 1964, Econometrica.

  • On the Existence of a Subinvariant Measure" with R.E. Williamson, 1964, Proceedings of Konnikl. Nederl. Akad. van Wetenschappen

  • "On the Concept of Optimal Economic Growth", 1965, Pontificiae Academiae Scientiarum Scripta Varia

  • "Intertemporal Distribution and Optimal Aggregate Economic Growth", 1967, in Fellner, editor, Ten Economic Studies in the Tradition of Irving Fisher.

  • "Objectives, Constraints and Outcomes in Optimal Growth Models", 1967, Econometrica.

  • "Note on a Social System Composed of Hierarchies with Overlapping Personnel", 1969, Orbis Economicus.

  • "Maximizing Stationary Utility in a Constant Technology" with R. Beals, 1969, SIAM Journal of Applied Mathematics

  • Scientific Papers of Tjalling C. Koopmans, Volume I, 1970.

  • "A Model of a Continuing State with Scarce Capital", 1971, ZfN

  • "On the Description and Comparison of Economic Systems" with J.M. Montias, 1971, in Eckstein, editor, Comparison of Economic Systems.

  • "On the Definition and Computation of a Capital Stock Invariant Under Optimization", with T. Hansen, 1972, JET

  • "Representation of Preference Ordering with Independent Components of Consumption", 1972, in McGuire and Radner, editors, Decision and Organization.

  • "Representation of Preference Orderings Over Time", 1972, in McGuire and Radner, editors, Decision and Organization.

  • "Some Observations on Optimal Economic Growth and Exhaustible Resources", 1973, in Bos et al, editors, Economic Structure and Development.

  • "Is the Theory of Competitive Equilibrium With It?", 1974, AER.

  • "Proof for a Case where Discounting Advances Doomsday", 1974, RES.

  • "Concepts of Optimality and their Uses", 1977, AER.

  • "Examples of Production Relations Based on Microdata", 1977, in G.C. Harcourt, editor, Microeconomic Foundations of Macroeconomics

  • "Economics Among the Sciences", 1979, AER.

  • "The Transition from Exhaustible to Renewable or Inexhaustible Resources", 1981, in Economic Growth and Resources

  • "Additively Decomposed Quasiconcave Functions", with G. Debreu, 1982, Mathematical Programming.

  • Scientific Papers of Tjalling C. Koopmans, Volume II, 1985.

  • "Constancy and Constant Differences of Price Elasticities of Demand" with H. Uzawa, 1990, in Chipman et al., editors, Preferences, Uncertainty, and Optimality

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