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Can they beat the Cournot equilibrium? Learning with memory and convergence to equilibria in a Cournot oligopoly

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Author Info

  • Thomas Vallée

    (LEMNA - Laboratoire d'économie et de management de Nantes Atlantique - Université de Nantes : EA4272)

  • Murat Yildizoglu

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - Université de la Méditerranée - Aix-Marseille II - Université Paul Cézanne - Aix-Marseille III - Ecole des Hautes Etudes en Sciences Sociales (EHESS) - CNRS : UMR6579)

Abstract

This article analyses the possibility of firms learning collusive solutions in a Cournot quantity game. Starting from the results of Vallée and Yildizoglu (2009) and of Alos-Ferrer (2004), we study the role of random experimenting, social learning (imitation), and (updated) memory in helping firms to discover more collusive market configurations than those of the Cournot equilibrium (CE). We show that long memory and its update is necessary to achieve such configurations.

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Bibliographic Info

Paper provided by HAL in its series Working Papers with number hal-00526258.

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Date of creation: 15 Oct 2010
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Handle: RePEc:hal:wpaper:hal-00526258

Note: View the original document on HAL open archive server: http://hal.archives-ouvertes.fr/hal-00526258/en/
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Related research

Keywords: Cournot oligopoly; Learning; Evolution; Selection; Evolutionary stability; Nash Equilibrium; Collusion;

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  1. Jose Apesteguia & Steffen Huck & Jorg Oechssler, 2004. "Imitation - Theory and Experimental Evidence," Levine's Bibliography 122247000000000132, UCLA Department of Economics.
  2. Offerman, T.J.S. & Potters, J.J.M. & Sonnemans, J., 2002. "Imitation and belief learning in an oligopoly experiment," Open Access publications from Tilburg University urn:nbn:nl:ui:12-91663, Tilburg University.
  3. Steffen Huck & Hans-Theo Normann & Joerg Oechssler, 1997. "Learning in Cournot Oligopoly - An Experiment," Game Theory and Information 9707009, EconWPA, revised 22 Jul 1997.
  4. Tobias Guse & Burkhard Hehenkamp & Alex Possajennikov, 2008. "On the Equivalence of Nash and Evolutionary Equilibrium in Finite Populations," Discussion Papers 2008-06, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
  5. Alos-Ferrer, Carlos, 2004. "Cournot versus Walras in dynamic oligopolies with memory," International Journal of Industrial Organization, Elsevier, vol. 22(2), pages 193-217, February.
  6. Fernando Vega Redondo, 1996. "The evolution of walrasian behavior," Working Papers. Serie AD 1996-05, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  7. James Bergin & Dan Bernhardt, 2004. "Comparative Learning Dynamics," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(2), pages 431-465, 05.
  8. Ania, Ana B., 2008. "Evolutionary stability and Nash equilibrium in finite populations, with an application to price competition," Journal of Economic Behavior & Organization, Elsevier, vol. 65(3-4), pages 472-488, March.
  9. Jasmina Arifovic & Michael Maschek, 2006. "Revisiting Individual Evolutionary Learning in the Cobweb Model – An Illustration of the Virtual Spite-Effect," Computational Economics, Society for Computational Economics, vol. 28(4), pages 333-354, November.
  10. 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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