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Convergence in Finite Cournot Oligopoly with Social and Individual Learning

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  • Thomas VALLEE (LEN - IAE Nantes)
  • Murat YILDIZOGLU (GREThA)

Abstract

Convergence to Nash equilibrium in Cournot oligopoly is a problem that recurrently arises as a subject of study in economics. The development of evolutionary game theory has provided an equilibrium concept more directly connected with adjustment dynamics and the evolutionary stability of the equilibria of the Cournot game has been studied by several articles. Several articles show that the Walrasian equilibrium is the stable evolutionary solution of the Cournot game. Vriend (2000) proposes to use genetic algorithm for studying learning dynamics in this game and obtains convergence to Cournot equilibrium with individual learning. We show in this article how social learning gives rise to Walras equilibrium and why, in a general setup, individual learning can effectively yield convergence to Cournot instead of Walras equilibrium. We illustrate these general results by computational experiments.

Suggested Citation

  • Thomas VALLEE (LEN - IAE Nantes) & Murat YILDIZOGLU (GREThA), 2007. "Convergence in Finite Cournot Oligopoly with Social and Individual Learning," Cahiers du GREThA 2007-07, Groupe de Recherche en Economie Théorique et Appliquée.
  • Handle: RePEc:grt:wpegrt:2007-07
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    File URL: http://cahiersdugretha.u-bordeaux4.fr/2007/2007-07.pdf
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    References listed on IDEAS

    as
    1. Stegeman, Mark & Rhode, Paul, 2004. "Stochastic Darwinian equilibria in small and large populations," Games and Economic Behavior, Elsevier, vol. 49(1), pages 171-214, October.
    2. Carlos Alós-Ferrer & Ana Ania, 2005. "The evolutionary stability of perfectly competitive behavior," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(3), pages 497-516, October.
    3. Jorgen W. Weibull, 1997. "Evolutionary Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262731215.
    4. Vriend, Nicolaas J., 2000. "An illustration of the essential difference between individual and social learning, and its consequences for computational analyses," Journal of Economic Dynamics and Control, Elsevier, vol. 24(1), pages 1-19, January.
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    Cited by:

    1. Mattheos Protopapas & Francesco Battaglia & Elias Kosmatopoulo, 2008. "Coevolutionary Genetic Algorithms for Establishing Nash Equilibrium in Symmetric Cournot Games," Working Papers 004, COMISEF.

    More about this item

    Keywords

    Cournot oligopoly; Learning; Evolution; Selection; Evolutionary stability; Nash equilibrium; Genetic algorithms;

    JEL classification:

    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • L20 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - General
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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