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
Bibliography
Allingham, M. 1975. General equilibrium. New York: Wiley.
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.
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.
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.
Arrow, K.J., and G. Debreu. 1954. Existence of an equilibrium for a competitive economy. Econometrica 22: 265–290.
Arrow, K.J., and L. Hurwicz. 1958. On the stability of the competitive equilibrium I. Econometrica 26: 522–552.
Arrow, K.J., H.D. Block, and L. Hurwicz. 1959. On the stability of the competitive equilibrium II. Econometrica 27: 82–109.
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.
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.
Bewley, T.F. 1972. Existence of equilibria in economies with infinitely many commodities. Journal of Economic Theory 4: 514–540.
Bewley, T.F. 1982. An integration of equilibrium theory and turnpike theory. Journal of Mathematical Economics 10: 233–268.
Cassel, G. 1918. Theoretische Sozialökonomie. 5th German edn, trans. as The theory of social economy. New York: Harcourt Brace, 1932.
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.
Debreu, G. 1954. Valuation equilibrium and Pareto optimum. Proceedings of the National Academy of Sciences 40: 588–592.
Debreu, G. 1959. Theory of value. New York: Wiley.
Debreu, G. 1962. New concepts and techniques for equilibrium analysis. International Economic Review 3: 257–273.
Gossen, H. 1854. Entwicklung der Gesetze des menschlichen Verkehrs. 3rd ed, 1927. Berlin: Prager.
Grandmont, J.M. 1973. On the efficiency of a monetary equilibrium. Review of Economic Studies 40: 149–165.
Grandmont, J.M. 1977. Temporary general equilibrium theory. Econometrica 45: 535–572.
Grandmont, J.M. 1983. Money and value. New York: Cambridge University Press.
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.
Green, J.R. 1973. Temporary general equilibrium in a sequential trading model with spot and future transactions. Econometrica 41: 1103–1123.
Green, J.R. 1977. The nonexistence of informational equilibria. Review of Economic Studies 44: 451–463.
Grossman, S.J. 1981. An introduction to the theory of rational expectations under asymmetric information. Review of Economic Studies 48: 541–560.
Hahn, F.H., and T. Negishi. 1962. A theorem on non-tâtonnement stability. Econometrica 30: 463–469.
Hicks, J.R. 1939. Value and capital. Oxford: Clarendon Press.
Jevons, W.S. 1871. The theory of political economy. 5th ed. London: Macmillan. New York: Kelley and Millman, 1957.
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.
Kreps, D.M. 1977. A note on fulfilled expectations equilibria. Journal of Economic Theory 14: 32–43.
Marshall, A. 1890. Principles of economics. 8th ed, 1920. London: Macmillan.
McKenzie, L.W. 1954. On equilibrium in Graham’s model of world trade and other competitive systems. Econometrica 22: 147–161.
McKenzie, L.W. 1959. On the existence of general equilibrium for a competitive market. Econometrica 27: 54–71.
McKenzie, L.W. 1981. The classical theorem on existence of competitive equilibrium. Econometrica 49: 819–841.
Menger, C. 1871. Grundsätze der Volkswirtschaflehre. Vienna. Trans. as Principles of economics. Glencoe: Free Press, 1950.
Mill, J.S. 1848. Principles of political economy. London: Parker. New ed. London: Longmans, 1909.
Negishi, T. 1960. Welfare economics and existence of an equilibrium for a competitive economy. Metroeconomica 12: 92–97.
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.
Nikaido, H. 1956. On the classical multilateral exchange problem. Metroeconomica 8: 135–145.
Novshek, W., and H. Sonnenschein. 1980. Small efficient scale as a foundation for Walrasian equilibrium. Journal of Economic Theory 22: 243–255.
Pareto, V. 1909. Manuel d’économie politique. Paris. Trans. from 1927 edn as Manual of political economy. New York: Kelley, 1971.
Peleg, B., and M.E. Yaari. 1970. Markets with countably many commodities. International Economic Review 11: 369–377.
Poinsot, L. 1803. Eléments de statique. 8th ed. Paris, 1842.
Radner, R. 1967. Equilibre des marchés à terme et au comptant en cas d’incertitude. Cahiers d’Econométrie 4: 35–52. Paris: CNRS.
Radner, R. 1972. Existence of equilibrium of plans, prices and price expectations in a sequence of markets. Econometrica 40: 289–303.
Samuelson, P.A. 1947. Foundations of economic analysis. Cambridge, MA: Harvard University Press.
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.
Scarf, H.F. (With T. Hansen) 1973. The computation of economic equilibria. New Haven: Yale University Press.
Smith, A. 1776. In An inquiry into the nature and causes of the wealth of nations, ed. E. Cannan, 5th ed. London: Methuen. 1906.
Wald, A. 1935. Über die eindeutige positive Losbarkeit der neuen Produktionsgleichungen. Ergebnisse eines mathematischen Kolloquiums 6: 12–20.
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.
Walras, L. 1874–7. Elements d’économie politique pure. Lausanne: Corbaz. Trans. by W. Jaffé as Elements of pure economics. London: George Allen & Unwin, from the 1926 definitive edition, 1954.
Weintraub, E.R. 1983. On the existence of a competitive equilibrium: 1930–1954. Journal of Economic Literature 21: 1–39.
Wilson, C.A. 1981. Equilibrium in dynamic models with an infinity of agents. Journal of Economic Theory 24: 95–111.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Copyright information
© 2008 The Author(s)
About this entry
Cite this entry
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
Download citation
DOI: https://doi.org/10.1057/978-1-349-95121-5_933-2
Received:
Accepted:
Published:
Publisher Name: Palgrave Macmillan, London
Online ISBN: 978-1-349-95121-5
eBook Packages: Springer Reference Economics and FinanceReference Module Humanities and Social SciencesReference Module Business, Economics and Social Sciences
Publish with us
Chapter history
-
Latest
General Equilibrium- Published:
- 18 April 2017
DOI: https://doi.org/10.1057/978-1-349-95121-5_933-2
-
Original
General Equilibrium- Published:
- 03 December 2016
DOI: https://doi.org/10.1057/978-1-349-95121-5_933-1