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General Equilibrium

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The New Palgrave Dictionary of Economics

Abstract

Unlike partial equilibrium theory, general equilibrium theory treats as constant only non-economic influences and embraces all sales and purchases of all agents involved in exchanges. It implies that all subsets of agents are in equilibrium and that all individual agents are in equilibrium. The development of a formal general equilibrium theory in mathematical terms was initiated in the 19th century by Walras, who moved from a model of an exchange economy to an equilibrium with production. It was completed in the 1950s by McKenzie, who formalized Walrasian theory, and by Arrow and Debreu, who formalized Hicksian theory.

This chapter was originally published in The New Palgrave Dictionary of Economics, 2nd edition, 2008. Edited by Steven N. Durlauf and Lawrence E. Blume

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Bibliography

  • Allingham, M. 1975. General equilibrium. New York: Wiley.

    Google Scholar 

  • de Araujo, A.P., and J.A. Scheinkman. 1979. Notes on comparative dynamics. In General equilibrium, growth, and trade, ed. J.R. Green and J.A. Scheinkman. New York: Academic.

    Google Scholar 

  • Arrow, K.J. 1951. An extension of the basic theorems of classical welfare economics. In Proceedings of the second Berkeley symposium, ed. J. Neyman. Berkeley: University of California Press.

    Google Scholar 

  • Arrow, K.J. 1953. Le rôle des valeurs boursières pour la répartition la meilleure des risques. Econométrie, Paris: Centre National de la Recherche Scientifique. Trans. as ‘The role of securities in the optimal allocation of risk-bearing’, Review of Economic Studies 31 (1964): 91–96.

    Google Scholar 

  • Arrow, K.J., and G. Debreu. 1954. Existence of an equilibrium for a competitive economy. Econometrica 22: 265–290.

    Article  Google Scholar 

  • Arrow, K.J., and L. Hurwicz. 1958. On the stability of the competitive equilibrium I. Econometrica 26: 522–552.

    Article  Google Scholar 

  • Arrow, K.J., H.D. Block, and L. Hurwicz. 1959. On the stability of the competitive equilibrium II. Econometrica 27: 82–109.

    Article  Google Scholar 

  • Balasko, Y., and K. Shell. 1980. The overlapping generations model, I: The case of pure exchange without money. Journal of Economic Theory 23: 281–306.

    Article  Google Scholar 

  • Balasko, Y., D. Cass, and K. Shell. 1980. Existence of competitive equilibrium in a general overlapping generations model. Journal of Economic Theory 23: 307–322.

    Article  Google Scholar 

  • Bewley, T.F. 1972. Existence of equilibria in economies with infinitely many commodities. Journal of Economic Theory 4: 514–540.

    Article  Google Scholar 

  • Bewley, T.F. 1982. An integration of equilibrium theory and turnpike theory. Journal of Mathematical Economics 10: 233–268.

    Article  Google Scholar 

  • Cassel, G. 1918. Theoretische Sozialökonomie. 5th German edn, trans. as The theory of social economy. New York: Harcourt Brace, 1932.

    Google Scholar 

  • Cournot, A. 1838. Recherches sur les principes mathématiques de la théorie des richesses. Paris: Hachette. Trans. as Researches into the mathematical principles of the theory of wealth. New York: Kelley, 1960.

    Google Scholar 

  • Debreu, G. 1954. Valuation equilibrium and Pareto optimum. Proceedings of the National Academy of Sciences 40: 588–592.

    Article  Google Scholar 

  • Debreu, G. 1959. Theory of value. New York: Wiley.

    Google Scholar 

  • Debreu, G. 1962. New concepts and techniques for equilibrium analysis. International Economic Review 3: 257–273.

    Article  Google Scholar 

  • Gossen, H. 1854. Entwicklung der Gesetze des menschlichen Verkehrs. 3rd ed, 1927. Berlin: Prager.

    Google Scholar 

  • Grandmont, J.M. 1973. On the efficiency of a monetary equilibrium. Review of Economic Studies 40: 149–165.

    Article  Google Scholar 

  • Grandmont, J.M. 1977. Temporary general equilibrium theory. Econometrica 45: 535–572.

    Article  Google Scholar 

  • Grandmont, J.M. 1983. Money and value. New York: Cambridge University Press.

    Book  Google Scholar 

  • Grandmont, J.M., and Y. Younes. 1972. On the role of money and the existence of a monetary equilibrium. Review of Economic Studies 39: 355–372.

    Article  Google Scholar 

  • Green, J.R. 1973. Temporary general equilibrium in a sequential trading model with spot and future transactions. Econometrica 41: 1103–1123.

    Article  Google Scholar 

  • Green, J.R. 1977. The nonexistence of informational equilibria. Review of Economic Studies 44: 451–463.

    Article  Google Scholar 

  • Grossman, S.J. 1981. An introduction to the theory of rational expectations under asymmetric information. Review of Economic Studies 48: 541–560.

    Article  Google Scholar 

  • Hahn, F.H., and T. Negishi. 1962. A theorem on non-tâtonnement stability. Econometrica 30: 463–469.

    Article  Google Scholar 

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

    Google Scholar 

  • Jevons, W.S. 1871. The theory of political economy. 5th ed. London: Macmillan. New York: Kelley and Millman, 1957.

    Google Scholar 

  • Koopmans, T.C. 1951. Analysis of production as an efficient combination of activities. In Activity analysis of production and allocation, ed. T.C. Koopmans. New York: Wiley.

    Google Scholar 

  • Kreps, D.M. 1977. A note on fulfilled expectations equilibria. Journal of Economic Theory 14: 32–43.

    Article  Google Scholar 

  • Marshall, A. 1890. Principles of economics. 8th ed, 1920. London: Macmillan.

    Google Scholar 

  • McKenzie, L.W. 1954. On equilibrium in Graham’s model of world trade and other competitive systems. Econometrica 22: 147–161.

    Article  Google Scholar 

  • McKenzie, L.W. 1959. On the existence of general equilibrium for a competitive market. Econometrica 27: 54–71.

    Article  Google Scholar 

  • McKenzie, L.W. 1981. The classical theorem on existence of competitive equilibrium. Econometrica 49: 819–841.

    Article  Google Scholar 

  • Menger, C. 1871. Grundsätze der Volkswirtschaflehre. Vienna. Trans. as Principles of economics. Glencoe: Free Press, 1950.

    Google Scholar 

  • Mill, J.S. 1848. Principles of political economy. London: Parker. New ed. London: Longmans, 1909.

    Google Scholar 

  • Negishi, T. 1960. Welfare economics and existence of an equilibrium for a competitive economy. Metroeconomica 12: 92–97.

    Article  Google Scholar 

  • von Neumann, J. 1937. Über ein Ökonomisches Gleichungssystem und eine Verallgemeinerung des Brouwerschen Fixpunktsatzes. Ergebnisse eines Mathematischen Kolloquiums 8: 73–83. Trans. in Review of Economic Studies 13, (1945): 1–9.

    Google Scholar 

  • Nikaido, H. 1956. On the classical multilateral exchange problem. Metroeconomica 8: 135–145.

    Article  Google Scholar 

  • Novshek, W., and H. Sonnenschein. 1980. Small efficient scale as a foundation for Walrasian equilibrium. Journal of Economic Theory 22: 243–255.

    Article  Google Scholar 

  • Pareto, V. 1909. Manuel d’économie politique. Paris. Trans. from 1927 edn as Manual of political economy. New York: Kelley, 1971.

    Google Scholar 

  • Peleg, B., and M.E. Yaari. 1970. Markets with countably many commodities. International Economic Review 11: 369–377.

    Article  Google Scholar 

  • Poinsot, L. 1803. Eléments de statique. 8th ed. Paris, 1842.

    Google Scholar 

  • Radner, R. 1967. Equilibre des marchés à terme et au comptant en cas d’incertitude. Cahiers d’Econométrie 4: 35–52. Paris: CNRS.

    Google Scholar 

  • Radner, R. 1972. Existence of equilibrium of plans, prices and price expectations in a sequence of markets. Econometrica 40: 289–303.

    Article  Google Scholar 

  • Samuelson, P.A. 1947. Foundations of economic analysis. Cambridge, MA: Harvard University Press.

    Google Scholar 

  • Samuelson, P.A. 1958. An exact consumption – loan model of interest with or without the social contrivance of money. Journal of Political Economy 66: 467–482.

    Article  Google Scholar 

  • Scarf, H.F. (With T. Hansen) 1973. The computation of economic equilibria. New Haven: Yale University Press.

    Google Scholar 

  • Smith, A. 1776. In An inquiry into the nature and causes of the wealth of nations, ed. E. Cannan, 5th ed. London: Methuen. 1906.

    Google Scholar 

  • Wald, A. 1935. Über die eindeutige positive Losbarkeit der neuen Produktionsgleichungen. Ergebnisse eines mathematischen Kolloquiums 6: 12–20.

    Google Scholar 

  • Wald, A. 1936. Über einige Gleichungssysteme der mathematischen Ökonomie. Zeitschrift für Nationalökonomie 7: 637–670. Trans. as ‘On some systems of equations of mathematical economics’, Econometrica 19, (1951): 368–403.

    Article  Google Scholar 

  • Walras, L. 1874–7. Elements déconomie politique pure. Lausanne: Corbaz. Trans. by W. Jaffé as Elements of pure economics. London: George Allen & Unwin, from the 1926 definitive edition, 1954.

    Google Scholar 

  • Weintraub, E.R. 1983. On the existence of a competitive equilibrium: 1930–1954. Journal of Economic Literature 21: 1–39.

    Google Scholar 

  • Wilson, C.A. 1981. Equilibrium in dynamic models with an infinity of agents. Journal of Economic Theory 24: 95–111.

    Article  Google Scholar 

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McKenzie, L.W. (2008). General Equilibrium. In: The New Palgrave Dictionary of Economics. Palgrave Macmillan, London. https://doi.org/10.1057/978-1-349-95121-5_933-2

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  • DOI: https://doi.org/10.1057/978-1-349-95121-5_933-2

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  • Online ISBN: 978-1-349-95121-5

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Chapter history

  1. Latest

    General Equilibrium
    Published:
    18 April 2017

    DOI: https://doi.org/10.1057/978-1-349-95121-5_933-2

  2. Original

    General Equilibrium
    Published:
    03 December 2016

    DOI: https://doi.org/10.1057/978-1-349-95121-5_933-1