Skip to main content
SpringerLink
Log in

Game theory, linear programming and input-output analysis

  • Abhandlungen
  • Published:
Zeitschrift für Nationalökonomie Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Bibliography

  • Allen, R. G. D. (1956): Mathematical economics. London: Macmillan.

    Google Scholar 

  • Altschul, E. (1955): Mathematical programming and managerial planning: A selected bibliography. Kansas City: Linda Hall Library.

    Google Scholar 

  • Arrow, K. J. (1951): Alternative approaches to the theory of choice in risk taking situations. Econometrica, vol. 19, pp. 404–432.

    Google Scholar 

  • Arrow, K. J. (1951): Alternative proof of the substitution theorem for Leontief models in the general case, in T. C. Koopmans ed. (1951), pp. 155–164.

    Google Scholar 

  • Babbar, M. M. (1955): Distributions of solutions of a set of linear equations with applications to linear programming. Journal of the American Statistical Association, vol. 50, pp. 854–869.

    Google Scholar 

  • Balderston, J. (1954): Models of general equilibrium, in O. Morgenstern ed. (1954), pp. 3–42.

    Google Scholar 

  • Balderston, J. and T. M. Within (1954): Aggregation in the input-output model, in O. Morgenstern ed. (1954), pp. 79–128.

    Google Scholar 

  • Barna, T. (1952): The interdependence of the British economy. Journal of the Royal Statistical Society, vol. 115, pp. 29–77.

    Google Scholar 

  • Beckmann, M. J. and P. Marschak (1955): An activity approach to location theory. Proceedings, Second Symposium on Linear Programming, vol. 1. Washington D. C. National Bureau of Standards, pp. 331–379.

  • Bellman, R. (1952): On the theory of dynamic programming. Proceedings National Academy of Sciences, vol. 38, pp. 716–719.

    Google Scholar 

  • Bellman, R. (1953): On some problems in the theory of dynamic programming. Econometrica, vol. 21, pp. 475–476.

    Google Scholar 

  • Bellman, R. (1954): An introduction to the theory of dynamic programming. Santa Monica: Rand Corporation.

    Google Scholar 

  • Bergson, A. (1948): Socialist economics, in H. S. Ellis ed. (1948), pp. 412–448.

    Google Scholar 

  • Borel, E. (1927): Sur les systèmes des formes linéaires a déterminant symétrique gauche et la théorie générale du jeu, Compte Rendu de l'Académie des Sciences, vol. 184, pp. 52–54.

    Google Scholar 

  • Cameron, B. (1953): The production function in Leontief models. Review of Economic Studies, vol. 20, pp. 62–69.

    Google Scholar 

  • Chabert, A. (1950): Le système d'input-output. Economie Appliquée, vol. 3, pp. 173–205.

    Google Scholar 

  • Charnes, A., W. W. Cooper, A. Henderson (1953): An introduction to linear programming. New York: John Wiley.

    Google Scholar 

  • Charnes, A., W. W. Cooper, B. Mellon (1952): Blending aviation gasolines: A study in programming interdependent activities in an integrated oil company. Econometrica, vol. 20, pp. 135–159.

    Google Scholar 

  • Charnes, A., W. W. Cooper, B. Mellon (1954): A model for programming and sensitivity analysis in an integrated oil company. Econometrica, vol. 22, pp. 193–217.

    Google Scholar 

  • Cramér, H. (1946): Mathematical methods of statistics. Princeton: Princeton University Press.

    Google Scholar 

  • Dantzig, G. B. (1949): Programming of interdependent activities: mathematical model. Econometrica, vol. 17, pp. 200–211, and T. C. Koopmans ed. (1951), pp. 19–32.

    Google Scholar 

  • Dantzig, G. B. (1951): Maximization of a linear function subject to linear inequalities, in T. B. Koopmans ed. (1951), pp. 339–347.

  • Dantzig, G. B. (1951): A proof of the equivalence of the programming problem and the game problem, in T. C. Koopmans ed. (1951), pp. 330–338.

    Google Scholar 

  • Dobb, M. (1953): Political economy and capitalism. London: Rutledge.

    Google Scholar 

  • Dobb, M. (1955): On economic policy and socialism. New York: International Publishers.

    Google Scholar 

  • Dorfman, R. (1954): The nature and significance of input-output. Review of Economics and Statistics, vol. 36, pp. 121–133.

    Google Scholar 

  • Dorfman, R. (1951): Applications of linear programming to the theory of the firm. Berkeley, Cal.: University of California Press.

    Google Scholar 

  • Dorfman, R. (1953): Mathematical or linear programming: A non-mathematical exposition. American Economic Review, vol. 43, pp. 797–825.

    Google Scholar 

  • Dwyer, P. S. (1951): Linear computations. New York: Wiley.

    Google Scholar 

  • Eckstein, O. (1954): The input-output system-its nature and use, in O. Morgenstern ed. (1954), pp. 43–78.

    Google Scholar 

  • Ellis, H. S., ed. (1948): A survey of contemporary economics. Philadelphia: Blakiston.

    Google Scholar 

  • Enke, S. (1951): Equilibrium among spatially separated markets: Solution by electric analogue. Econometrica, vol. 19, pp. 40–47.

    Google Scholar 

  • Evans, W. D. and M. Hoffenberg (1952): The inter-industry study for 1947. Review of Economics and Statistics, vol. 34, pp. 97–142.

    Google Scholar 

  • Farrel, M. J. (1954): An application of activity analysis to the theory of the firm. Econometrica, vol. 22, pp. 291–302.

    Google Scholar 

  • Fox, K. A. (1953): A spatial equilibrium model for the livestock economy in the United States. Econometrica, vol. 21, pp. 547–566.

    Google Scholar 

  • Frisch, R. (1954): Principles of linear programming. Oslo: Universities Socialokonomiske Institutet.

    Google Scholar 

  • Gale, D., H. W. Kuhn and A. W. Tucker (1951): Linear programming and the theory of games, in T. C. Koopmans ed. (1951), pp. 317–329.

    Google Scholar 

  • Georgescu-Roegen, N. (1935): Fixed coefficients of production and marginal productivity theory. Review of Economic Studies, vol. 3, pp. 40–49.

    Google Scholar 

  • Georgescu-Roegen, N. (1950): Leontief's system in the light of recent results. Review of Economics and Statistics, vol. 32, pp. 214–226.

    Google Scholar 

  • Georgescu-Roegen, N. (1951): Some properties of the generalized Leontief model, in T. C. Koopmans ed. (1951), pp. 165–173.

    Google Scholar 

  • Goodwin, R. M. (1949): The multiplier as a matrix. Economic Journal, vol. 59, pp. 537–555.

    Google Scholar 

  • Guilbaud, G. T. (1949): La théorie des jeux: contributions critiques à la théorie de la valeur. Economie Appliquée, vol. 2, pp. 275–319.

    Google Scholar 

  • Hawkins, D. (1948): Some conditions of macroeconomic stability. Econometrica, vol. 16, pp. 309–322.

    Google Scholar 

  • Hawkins, D. and H. A. Simon (1949): Some conditions of macro-economic stability. Econometrica, vol. 17, pp. 245–248.

    Google Scholar 

  • Hayek, F. A. von, ed. (1935): Collectivist economic planning. London: Rutledge.

    Google Scholar 

  • Heady, E. (1952): Use and estimation of input-output relationship of productivity coefficients. Journal of Farm Economics, vol. 34, pp. 775–786.

    Google Scholar 

  • Hicks, J. R. (1939): Value and capital, Oxford: Clarendon Press.

    Google Scholar 

  • Hildreth, C. and S. Reiter (1951): On the choice of a crop rotation plan, in T. C. Koopmans ed. (1951), pp. 177–188.

    Google Scholar 

  • Hurwicz, L. (1945): The theory of economic behaviour. American Economic Review, vol. 35, pp. 909–925.

    Google Scholar 

  • Isard, W. (1953): Some empirical results and problems of regional input-output analysis, in W. Leontief ed. (1953), pp. 116–184.

  • Klein, L. R. (1953): On the interpretation of Professor Leontief's system. Review of Economic Studies, vol. 20, pp. 131–136.

    Google Scholar 

  • Koopmans, T. C., ed. (1951): Activity analysis of production and allocation. New York: John Wiley.

    Google Scholar 

  • Koopmans, T. C. (1951): Analysis of production as an efficient combination of activities, in T. C. Koopmans ed. (1951), pp. 33–97.

    Google Scholar 

  • Koopmans, T. C. and S. Reiter (1951): A model of transportation, in T. C. Koopmans ed. (1951), pp. 222–259.

    Google Scholar 

  • Koopmans, T. C. (1953): Activity analysis and its application. American Economic Review, vol. 43, pp. 406–416.

    Google Scholar 

  • Koopmans, T. C. (1949): Optimum utilization of the transportation system. Econometrica, vol. 17, suppl. pp. 136–146.

    Google Scholar 

  • Kuhn, H. W. and A. W. Tucker (1950) (1953): Contributions to the theory of games. Vol. 1, 2, Princeton: Princeton University Press.

    Google Scholar 

  • Lange, O. (1948): On the economic theory of socialism, in B. E. Lippincott ed. (1948), pp. 55–141.

    Google Scholar 

  • Leontief, W. W. (1939): Interrelations of prices, output and investment. Review of Economic Statistics, vol. 19, pp. 109–132.

    Google Scholar 

  • Leontief, W. W. (1951): Structure of the American economy 1919–1939, 2nd ed. New York: Oxford University Press.

    Google Scholar 

  • Leontief, W. W. (1953): Studies in the structure of the American economy. New York: Oxford University Press.

    Google Scholar 

  • Leontief, W. W. (1953): Static and dynamic theory, in Leontief ed. (1953), pp. 3–92.

  • Lippincott, B. E., ed. (1948): On the economic theory of socialism. Minneapolis: University of Minnesota Press.

    Google Scholar 

  • Maillet, P. (1953): Une nouvelle technique économique: les programmes linéaires. Revue d'Economie Politique, vol. 63, pp. 114–123.

    Google Scholar 

  • Marschak, J. (1946): Neumann's and Morgenstern's new approach to static economics. Journal of Political Economy, vol. 54, pp. 97–115.

    Google Scholar 

  • Marx, K. (1947): Das Kapital, vols. 1–3, Berlin: Dietz.

    Google Scholar 

  • McKinsey, J. C. C. (1952): Introduction to the theory of games. New York: Mc Graw Hill.

    Google Scholar 

  • Mises, L. von (1947): Economic calculation in the socialist commonwealth, in F. A. von Hayek ed. (1947), pp. 87–130.

  • Mises, L. von (1949): Human action. New Haven: Yale University Press.

    Google Scholar 

  • Mises, L. von (1951): Socialism, New Haven: Yale University Press.

    Google Scholar 

  • Morgenstern, O. (1950): On the accuracy of economic observations. Princeton: Princeton University Press.

    Google Scholar 

  • Morgenstern, O., ed. (1954): Economic activity analysis. New York: John Wiley.

    Google Scholar 

  • Morishima, M. (1956): A comment on Dr. Klein's interpretation of Leontief's system, Review of Economic Studies, vol. 24, pp. 65–68.

    Google Scholar 

  • Morton, G. (1951): Notes on linear programming. Economica, vol. 18, pp. 347–411.

    Google Scholar 

  • Neumann, J. von and O. Morgenstern (1947): Theory of games and economic behavior. 2nd ed. Princeton: Princeton University Press.

    Google Scholar 

  • Neumann, J. von (1928): Zur Theorie der Gesellschaftsspiele. Mathematische Annalen, vol. 100, pp. 295–320.

    Google Scholar 

  • Petersen, G. A. and E. O. Heady (1955): Application of input-output analysis to a simplified model emphasizing agriculture. Iowa State College, Agricultural Experiment Station, Research Bulletin 427.

  • Samuelson, P. A. (1952): Spatial Price equilibrium and linear programming. American Economic Review, vol. 57, pp. 283–303.

    Google Scholar 

  • Samuelson, P. A. (1951): Abstract of a theorem concerning substitutability in open Leontief models, in T. C. Koopmans ed. (1951), pp. 142–146.

    Google Scholar 

  • Silva, R. A. da Leme, (1955): Notas sobre programacao linear stocastica. Cadeira de economia politica estadistica aplicada.

  • Simon, H. A. (1951): Effects of technical change in a linear model, in T. C. Koopmans ed. (1951), pp. 260–276.

    Google Scholar 

  • Simon, H. A. (1956): Dynamic programming under uncertainty with a quadratic criterion function. Econometrica, vol. 24, pp. 74–81.

    Google Scholar 

  • Smith, H. M. (1951): Uses of Leontief's open input-output model, in T. C. Koopmans ed. (1951), pp. 132–141.

    Google Scholar 

  • Solow, R. (1952): On the structure of linear models. Econometrica, vol. 20, pp. 29–46.

    Google Scholar 

  • Stigler, G. (1949): Production and distribution theories. New York: Macmillan, pp. 320–388.

    Google Scholar 

  • Stone, R. and S. J. Prais (1952): Systems of aggregative index numbers and their compatibility. Economic Journal, vol. 62, pp. 565–583.

    Google Scholar 

  • Stone, R. and J. E. G. Utting (1953): The relationship between input-output analysis and national accounting, in Input-Output relations. Leiden: H. E. Stenfert Kroese N. V.

    Google Scholar 

  • Tintner, G. (1942): A „simple“ theory of business fluctuations. Econometrica, vol. 10, pp. 317–320.

    Google Scholar 

  • Tintner, G. (1944): The „simple“ theory of business fluctuations: a tentative verification. Review of Economic Statistics, vol. 26, pp. 148–157.

    Google Scholar 

  • Tintner, G. (1947): Une théorie „simple“ des fluctuations économiques. Revue d'Economie Politique, vol. 57, pp. 209–215.

    Google Scholar 

  • Tintner, G. (1948): Homogeneous systems in mathematical economics. Econometrica, vol. 16, pp. 273–294.

    Google Scholar 

  • Tintner, G. (1952): Econometrics. New York: John Wiley.

    Google Scholar 

  • Tintner, G. (1955): Stochastic linear programming with applications to agricultural economics. Second Symposium in linear programming, vol. 1, Washington D. C.: National Bureau of Standards, pp. 197–228.

    Google Scholar 

  • Tintner, G. (1955): Programmazione linear stocastica con applicazioni a problemi de economica agraria. Giornale degli Economisti, vol. 14, pp. 299–317.

    Google Scholar 

  • Vajda, S. (1956): The theory of games and linear programming. London: Methuen.

    Google Scholar 

  • Walras, L. (1926): Elements d'économie politique pure. Paris: R. Pichon.

    Google Scholar 

  • Waugh, F. V. and E. L. Burrows (1955): A short cut to linear programming. Econometrica, vol. 17, pp. 193–199.

    Google Scholar 

  • Wong, Y. K. (1954): Some mathematical concepts for linear economic models, in O. Morgenstern ed. (1954), pp. 283–340.

    Google Scholar 

  • Wood, M. K. and G. B. Dantzig (1949): The programming of interdependent activities, general discussion. Econometrica, vol. 17, pp. 193–199, and T. C. Koopmans ed (1951), pp. 15–18.

    Google Scholar 

  • Woodbury, M. A. (1954): Property of the Leontief type input-output models, in O. Morgenstern ed. (1954), pp. 341–364.

    Google Scholar 

Download references

Author information

Author notes

  1. Gerhard Tintner

    Present address: Gastprofessor an der Universität Wien, Austria

Authors and Affiliations

  1. Iowa State College, Ames, Iowa, USA

    Gerhard Tintner

Authors
  1. Gerhard Tintner
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Journal paper no. J-3135 of the Agricultural Experiment Station Ames, Iowa, Project No. 1200.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tintner, G. Game theory, linear programming and input-output analysis. Zeitschr. f. Nationalökonomie 17, 1–38 (1957). https://doi.org/10.1007/BF01311567

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01311567

Keywords

Search

Navigation