AUTHOR INDEX — KOOPMANS, Tjalling C.

CFDP = Cowles Foundation Discussion Paper; CFP = Cowles Commission/Foundation Paper (Reprint)
CFM = Cowles Commission/Foundation Monograph; CCDP = Cowles Commission Discussion Paper

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Cowles Commission Discussion Papers (CCDPs)

CCDP Economics 214, "Optimum Utilization of the Transportation System" [15pp] (February 1948) [CFP 34]

CCDP Economics 215, "Systems of Linear Production Functions" [13pp] (February 1948)

CCDP Economics 215a, "Notations and References for: A Mathematical Model of Production" [2pp] (September 1948)

CCDP Economics 221, "Proof of Samuelson's Theorem Regarding the Ineffectiveness of Substitution in the Leontief Model" [6pp] (April 1948)

CCDP Economics 222, "Preliminary Results on Mobility Labor Study" [5pp] (May 1948)

CCDP Economics 228, "Comments on the Input-Output Technique" [9pp] (October 1948)

CCDP Economics, 231, "Comments on Demand Analysis for Individual Commodities" [2pp] (November 1948)

CCDP Economics 232, "Computational Suggestions for Maximizing a Linear Function Subject to Linear Inequalities" [5pp] (November 1948)

CCDP Economics 234, "The Econometric Approach to Business Fluctuations" (First Draft) [14pp] (December 1948)

CCDP Economics 234a, "The Econometric Approach to Business Fluctuations" (Paper) [15pp] (December 1948)

CCDP Economics 239, Contribution to the discussion of Prof. Leontief's paper on "Recent Developments in the Study of Inter-industrial Relationships" [3pp] (1949)

CCDP Economics 262, "A Mathematical Model of Production" [32pp] (May 1949)

CCDP Economics 262a, "Errata to "A Mathematical Model of Production" [2pp] (August  1949)

CCDP Economics 262b, "A Mathematical Model of Production" (continued) [18pp] (August 1949)

CCDP Economics 262c, "A Mathematical Model of Production" (final installment) [24pp] (September 1949)

CCDP Economics 264, "Allocations of Resources in Production, I" [91pp, missing pp 59-60] (Spring 1949)

CCDP Economics 264a, "Allocations of Resources in Production II Application to Transportation" (with Stanley Reiter) [39pp] (Spring 1949)

CCDP Economics 271, "Efficient Allocation Resources" (1949) [13pp]

CCDP Economics 271a, "Efficient Allocation Resources" (second version) [13pp] (1949)

CCDP Economics 271b, "Efficient Allocation Resources" [13pp] (1949)

CCDP Economics 2053, "A Note on the Optimal Assignment Problem" (with Martin J. Beckmann) [12pp] (October 1952)

CCDP Economics 2071, "On Some Assignment Problems (Abstract)" (with Martin J. Beckmann) [5pp] (April 1953)

CCDP Economics 2087, "The Allocation of Switching Work in a System of Classification Yards" (with M.J. Beckmann, C.B. McGuire, C.B. Winsten) [2pp] (October 1953)

CCDP Economics 2096, "Scheduling on a Single Railway Line so as to Minimize Accumulation Delay" [11pp] (January 1954)

CCDP Statistics 302, "Alternative Proof of Rubin's Result (3.83) Regarding the Likelihood Function for an Incomplete Linear System" [3pp] (Autumn 1947)

CCDP Statistics 304, "The Identification of Structural Characteristics" [8pp] (November 1947)

CCDP Statistics 304a, "The Identification of Structural Characteristics" (continued) [8pp] (November 1947)

CCDP Statistics 310, "Statistical Methods of Measuring Economic Relationships" [125pp, some faint] (Autumn 1947)

CCDP Statistics 310a, "Supplement to "Statistical Methods of Measuring Economic Relationships" [53pp] (Autumn 1948)

CCDP Statistics 316, "Identification Problems in Economic Model Construction" [24pp] (July 1948)

CCDP Statistics 321, "Comments on Demand Analysis for Individual Commodities" [2pp] (November 1948)

CCDP Statistics 336, "The Bias in Single-equation Methods of Estimating Behavior Equation Relating to a Small Sector of the Economy" [8pp] (August 1949)

CCDP Statistics 359, "Comments on Causality and Identification" [3pp] (March 1951)

CCDP Statistics 360, "Identification Problems in Latent Structure Analysis" [12pp] (May 1951) [Draft of Chapter 5, Monograph 14

CCDP Statistics 363, "The Estimation of Simultaneous Linear Economic Relations" [118pp] (with William C. Hood) (1951)

CCDP Statistics 363a, "Updated section 3 of "The Estimation of Simultaneous Linear Economic Relations" [6pp] with William C. Hood) (1951) [Substitution of Section 3, CCDP Statistics 363]

Cowles Foundation Discussion Papers (CFDPs)

CFDP 4, "Assignment Problems and the Location of Economic Activities" (September 1955) (with Martin J. Beckmann) [42pp, abstract] [CFP 108]

CFDP 12, "The Klein-Goldberger Forecasts for 1951, 1952 and 1954, Compared with Naive-Model Forecasts" (May 1956) [5pp]

CFDP 26, "Water Storage Policy in a Simplified Hydroelectric System" (March 1957) [65pp, abstract] [CFP 115]

CFDP 81, "Stationary Ordinal Utility and Impatience" (November 1959) [32pp] [CFP 151]

CFDP 142, "Stationary Utility and Time Perspective" (August 1962) (with Peter A. Diamond, Richard E. Williamson) [24pp] [CFP 213a]

CFDP 143, "On the Existence of a Subinvariant Measure" (July 1962) (with Richard E. Williamson) [8pp] [CFP 213b]

CFDP 150, "On Flexibility of Future Preference" (December 1962) [16pp] [CFP 218]

CFDP 152, "Proportional Growth and Turnpike Theorems" (January 1963) [56pp]

CFDP 163, "On the Concept of Optimal Economic Growth" (December 1963) [39pp] [CFP 238]

CFDP 163A, "Appendix to 'On the Concept of Optimal Economic Growth'" (December 1963) [26pp] [CFP 238]

CFDP 206, "Structure of Preference Over Time" (April 1966) [43pp]

CFDP 206R, "Structure of Preference Over Time" (Revised February 1968) [73pp] [CFP 366b]

CFDP 212, "Objectives, Constraints and Outcomes in Optimal Growth Models" (August 1966) [27pp] [CFP 276]

CFDP 228, "Intertemporal Distribution and 'Optimal' Aggregate Economic Growth" (June 1967) [50pp] [CFP 269]

CFDP 229, "Maximizing Stationary Utility in a Constant Technology" (July 1967) (with Richard Beals) [22pp] [CFP 309]

CFDP 313R, "On the Definition and Computation of a Capital Stock Invariant Under Optimization" (Revised May 1972) (with Terje Hansen) [55pp] [CFP 375]

CFDP 356, "Some Observations on 'Optimal' Economic Growth and Exhaustible Resources" (March 1973) [29pp] [CFP 396]

CFDP 408, "Examples of Production Relations Based on Microdata" (October 1975) [53pp] [CFP 455]

CFDP 421, "Concepts of Optimality and Their Uses" (February 1976) [33pp] [CFP 449]

CFDP 486, "The Transition from Exhaustible to Renewable or Inexhaustible Resources" (February 1978) [16pp] [CFP 533]

CFDP 505, "Economics Among the Sciences" (October 1978) [34pp] [CFP 481]

CFDP 574, "Additively Decompable Quasiconvex Functions" (December 1980) (with Gerard Debreu) [57pp] [CFP 563]

CFDP 654, "Constancy and Constant Differences of Price Elasticities of Demand" (1982) (with Hirofumi Uzawa) [This paper was never completed before Tjalling Koopmans' death in February 1985. The number was issued for reference purposes only during their work on the paper]

Cowles Foundation Papers (Reprints) (CFPs)

CFP 11, "Statistical Estimation of Simultaneous Economic Relations." Journal of the American Statistical Association (1945), 40: 448-466

CFP 17, "Estimating Relations from Nonexperimental Observations: Abstracts of Papers Presented at Cleveland, January 25, 1946." Econometrica (April 1946), 14(2): 166-172 (with Leonid Hurwicz, Jacob Marschak, Leonid Hurwicz, Roy Bergh Leipnik)

CFP 25a, "Measurement Without Theory." Econometrica (August 1947), 29(3): 161-172

CFP 29, "Methodological Issues in Quantitative Economics." Review of Economics and Statistics (May 1949), 31(2): 77-94 (with Rutledge Vining)

CFP 31, "Identification Problems in Economic Model Construction." Econometrica (April 1949), 17(2): 125-144

CFP 34, "Optimum Utilization of the Transportation System." Proceedings of the International Statistical Conference Held in Washington, DC, September 6-18, 1947, 5, 1949, pp. 136-145 [CCDP Economics 214]

CFP 35b, "The Econometric Approach to Business Fluctuations" Papers and Proceedings of American Economic Review (1949), 39: 64-72

CFP 39a, "The Identification of Structural Characteristics" Annals of Mathematical Statistics, 21, 1950; and Econometrica (October 1950), 18(4): 375-389 (with Olav Reiersøl)

CFP 43b, "Abstracts on Papers Presented at Boulder, August 29, 1949." Econometrica (April 1950), 18(2): 175-177 (with Jacob Marschak)

CFP 52, "Efficient Allocation of Resources." Econometrica (October 1951), 19(4): 455-465

CFP 75c, "Activity Analysis and its Applications." Papers and Proceedings of the American Economic Review (May 1953), 43(2): 406-414

CFP 108, "Assignment Problems and the Location of Economic Activities." Econometrica (January 1957), 25(1): 53-76 (with Martin J. Beckmann) [CFDP 4]

CFP 115, "Water Storage Policy in a Simplified Hydroelectric System." In Proceedings of the First International Conference on Operational Research, 1957, pp. 1-35 [CFDP 26]

CFP 136, "Selected Topics in Economics Involving Mathematical Reasoning." SIAM Review (July 1959), 1(2): 79-148 (with Augustus F. Bausch)

CFP 151, "Stationary Ordinal Utility and Impatience." Econometrica (April 1960), 28(2): 287-309 [CFDP 81]

CFP 213a, "Stationary Utility and Time Perspective." Econometrica (January-April 1964), 32(1-2): 82-100 (with Peter A. Diamond, Richard E. Williamson) [CFDP 142]

CFP 213b, "On the Existence of a Subinvariant Measure." Proceedings of the Koninkl. Nederl. Akademie van Wetenschappen, Series A, 67, No. 1 and Indagationes Mathematicae (1964), 26(1): 84-87 (with Richard E. Williamson) [CFDP 143]

CFP 217, "Economic Growth at a Maximal Rate." Quarterly Journal of Economics (August 1964), 78: 355-394

CFP 218, "On Flexibility of Future Preference." In Maynard W. Shelly, II and Glenn I. Bryan, eds., Human Judgments and Optimality, John Wiley, 1964, pp. 243-254 [CFDP 150]

CFP 238, "On the Concept of Optimal Economic Growth." In Pontificiae Academiae Scientiarum Scripta Varia 28, 1, Semaine D'Etude sur Le Role de L'analyse Econometrique dans la Formulation de Plans de Developpement, 1965, p. 1-75 [CFDP 163 and CFDP 163A]

CFP 269, "Intertemporal Distribution and 'Optimal' Aggregate Economic Growth." In Ten Economic Studies in the Tradition of Irving Fisher, John Wiley, 1967, pp. 95-126 [CFDP 228]

CFP 276, "Objectives, Constraints, and Outcomes in Optimal Growth Models." Econometrica (January 1967), 35(1): 1-15 [CFDP 212]

CFP 302, "Note on a Social System Composed of Hierarchies with Overlapping Personnel." Orbis Economicus, Special Issue in Honor of Prof. Dr. P. de Wolff, July 1969, pp. 2-12

CFP 309, "Maximizing Stationary Utility in a Constant Technology." SIAM Journal of Applied Mathematics (September 1969), 17(5):1001-1015 (with Richard Beals) [CFDP 229]

CFP 353, "A Model of a Continuing State with Scarce Capital." Zeitschrift für Nationalökonomie, Suppl. 1 (1971), 11-22

CFP 357, "On the Description and Comparison of Economic Systems." In Alexander Eckstein (ed.), Comparison of Economic Systems, Theoretical and Methodological Approaches, University of California Press, Berkeley, 1971, pp. 27-78 (with John M. Montias)

CFP 366a, "Representation of Preference Orderings with Independent Components of Consumption." In C.B. McGuire and R. Radner, eds., Decision and Organization, North-Holland, 1972, pp. 57-78

CFP 366b, "Representation of Preference Orderings Over Time." In C.B. McGuire and R. Radner, eds., Decision and Organization, North-Holland, 1972, pp. 79-100 [CFDP 206R]

CFP 375, "On the Definition and Computation of a Capital Stock Invariant Under Optimization." Journal of Economic Theory (December 1972), 5(3): 487-523 (with Terje Hansen) [CFDP 313R]

CFP 396, "Some Observations on 'Optimal' Economic Growth and Exhaustible Resources." In H.C. Bos, ed., Economic Structure and Development, Essays in Honour of Jan Tinbergen, North-Holland, 1973, pp. 239-255 [CFDP 396]

CFP 405, "Is the Theory of Competitive Equilibrium With It?" American Economic Review (May 1974), 64(2): 325-329

CFP 449, "Concepts of Optimality and Their Uses." American Economic Review (June 1977), 67(3): 261-274 [CFDP 421]

CFP 455, "Examples of Production Relations Based on Microdata." In G.C. Harcourt, ed., The Microeconomic Foundations of Macroeconomics, 1977, pp. 144-171 [CFDP 408]

CFP 481, "Economics Among the Sciences." American Economic Review (March 1979), 69(1): 1-13 [CFDP 505]

CFP 533, "The Transition from Exhaustible to Renewable or Inexhaustible Resources." In Economic Growth and Resources, St. Martins Press, pp. 3-11 [CFDP 486]

CFP 563, "Additively Decomposed Quasi-Convex Functions." Mathematical Programming (1982), 24: 1-38 (with Gerard Debreu) [CFDP 574]

CFP 773, "Constancy and Constant Differences of Price Elasticities of Demand." In John S. Chipman, Daniel McFadden and Marcel K. Richter, eds., Preferences, Uncertainty, and Optimality, Essays in Honor of Leonid Hurwicz, 1990, pp. 3-43 (with Hirofumi Uzawa)

Cowles Foundation Monographs

CFM 10, Statistical Inference in Dynamic Economic . New York: John Wiley & Sons, 1950 (with Introduction by Jacob Marschak)

CFM 13, Activity Analysis of Production and Allocation. New York: John Wiley & Sons, 1951

CFM 14, Studies in Econometric Method. New York: John Wiley & Sons, 1953 (with William C. Hood)

Cowles Commission Special Paper

No. 3, "Uses of Prices," Proceedings of the Conference on Operations Research in Production and Inventory Control, pp. 1-7. Cleveland: Case Institute of Technology, 1954.

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