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Les modèles de comportements adaptatifs appliqués à l'oligopole de Cournot


  • Pascal Billand

    () (CREUSET - Centre de Recherche Economique de l'Université de Saint Etienne - UJM - Université Jean Monnet [Saint-Étienne])

  • Christophe Bravard

    () (CREUSET - Centre de Recherche Economique de l'Université de Saint Etienne - UJM - Université Jean Monnet [Saint-Étienne])


This paper examines a recurrent oligopoly game, where firms imitate the most successful behaviors in their memory. We intend to characterize stochastically stable states. Several models are considered which differ in the specification of players' memory. We note that the specification of memory plays a key role in the selection of the stochastically stable states. Moreover, in most cases, the Cournot-Nash equilibrium is not the unique stochastically stable state, and there exist cases where this equilibrium does not belong to the set of stochastically stable states.

Suggested Citation

  • Pascal Billand & Christophe Bravard, 2006. "Les modèles de comportements adaptatifs appliqués à l'oligopole de Cournot," Post-Print ujm-00121658, HAL.
  • Handle: RePEc:hal:journl:ujm-00121658
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    References listed on IDEAS

    1. Alos-Ferrer, Carlos & Ania, Ana B. & Schenk-Hoppe, Klaus Reiner, 2000. "An Evolutionary Model of Bertrand Oligopoly," Games and Economic Behavior, Elsevier, vol. 33(1), pages 1-19, October.
    2. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
    3. Cheng-Zhong Qin & Charles Stuart, 1997. "Bertrand versus Cournot revisited," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(3), pages 497-507.
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    5. R. D. Theocharis, 1960. "On the Stability of the Cournot Solution on the Oligopoly Problem," Review of Economic Studies, Oxford University Press, vol. 27(2), pages 133-134.
    6. Tanaka, Yasuhito, 2001. "Evolution to equilibrium in an asymmetric oligopoly with differentiated goods," International Journal of Industrial Organization, Elsevier, vol. 19(9), pages 1423-1440, November.
    7. Rhode, Paul & Stegeman, Mark, 2001. "Non-Nash equilibria of Darwinian dynamics with applications to duopoly," International Journal of Industrial Organization, Elsevier, vol. 19(3-4), pages 415-453, March.
    8. Josephson, Jens & Matros, Alexander, 2004. "Stochastic imitation in finite games," Games and Economic Behavior, Elsevier, vol. 49(2), pages 244-259, November.
    9. Xavier Vives, 2001. "Oligopoly Pricing: Old Ideas and New Tools," MIT Press Books, The MIT Press, edition 1, volume 1, number 026272040x, January.
    10. David M. Kreps & Jose A. Scheinkman, 1983. "Quantity Precommitment and Bertrand Competition Yield Cournot Outcomes," Bell Journal of Economics, The RAND Corporation, vol. 14(2), pages 326-337, Autumn.
    11. Burkhard C. Schipper, 2004. "Submodularity and the evolution of Walrasian behavior," International Journal of Game Theory, Springer;Game Theory Society, vol. 32(4), pages 471-477, August.
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