IDEAS home Printed from https://ideas.repec.org/a/cai/reidbu/rei_114_0009.html
   My bibliography  Save this article

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

Author

Listed:
  • Pascal Billand
  • Christophe Bravard

Abstract

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," Revue d'économie industrielle, De Boeck Université, vol. 0(2), pages 9-9.
  • Handle: RePEc:cai:reidbu:rei_114_0009
    as

    Download full text from publisher

    File URL: http://www.cairn.info/load_pdf.php?ID_ARTICLE=REI_114_0009
    Download Restriction: free

    File URL: http://www.cairn.info/revue-d-economie-industrielle-2006-2-page-9.htm
    Download Restriction: free
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. R. D. Theocharis, 1960. "On the Stability of the Cournot Solution on the Oligopoly Problem," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 27(2), pages 133-134.
    2. 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.
    3. 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.
    4. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
    5. 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.
    6. 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.
    7. Alex Possajennikov, 2003. "Imitation Dynamic and Nash Equilibrium in Cournot Oligopoly with Capacities," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 5(03), pages 291-305.
    8. Josephson, Jens & Matros, Alexander, 2004. "Stochastic imitation in finite games," Games and Economic Behavior, Elsevier, vol. 49(2), pages 244-259, November.
    9. Fernando Vega-Redondo, 1997. "The Evolution of Walrasian Behavior," Econometrica, Econometric Society, vol. 65(2), pages 375-384, March.
    10. 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.
    11. Xavier Vives, 2001. "Oligopoly Pricing: Old Ideas and New Tools," MIT Press Books, The MIT Press, edition 1, volume 1, number 026272040x, April.
    12. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Khan, Abhimanyu & Peeters, Ronald, 2015. "Imitation by price and quantity setting firms in a differentiated market," Journal of Economic Dynamics and Control, Elsevier, vol. 53(C), pages 28-36.
    2. 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.
    3. Schipper, Burkhard C., 2009. "Imitators and optimizers in Cournot oligopoly," Journal of Economic Dynamics and Control, Elsevier, vol. 33(12), pages 1981-1990, December.
    4. 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.
    5. Carlos Alós-Ferrer & Fei Shi, 2012. "Imitation with asymmetric memory," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 49(1), pages 193-215, January.
    6. Khan, Abhimanyu & Peeters, Ronald, 2017. "Imitation and price competition in a differentiated market," Journal of Economic Dynamics and Control, Elsevier, vol. 82(C), pages 177-194.
    7. J. Thijssen, 2005. "Nearly-complete Decomposability and Stochastic Stability with an Application to Cournot Oligopoly," Trinity Economics Papers tep6, Trinity College Dublin, Department of Economics.
    8. Schipper, Burkhard C., 2009. "Imitators and optimizers in Cournot oligopoly," Journal of Economic Dynamics and Control, Elsevier, vol. 33(12), pages 1981-1990, December.
    9. Abhimanyu Khan & Ronald Peeters, 2020. "Evolution of Behavior When Duopolists Choose Prices and Quantities," Dynamic Games and Applications, Springer, vol. 10(2), pages 493-508, June.
    10. Davide Radi, 2017. "Walrasian versus Cournot behavior in an oligopoly of boundedly rational firms," Journal of Evolutionary Economics, Springer, vol. 27(5), pages 933-961, November.
    11. 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.
    12. 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.
    13. Bigoni, Maria & Fort, Margherita, 2013. "Information and learning in oligopoly: An experiment," Games and Economic Behavior, Elsevier, vol. 81(C), pages 192-214.
    14. Birgitte Sloth & Hans Whitta-Jacobsen, 2011. "Economic Darwinism," Theory and Decision, Springer, vol. 70(3), pages 385-398, March.
    15. Ania, Ana B. & Wagener, Andreas, 2016. "Decentralized redistribution in a laboratory federation," Journal of Urban Economics, Elsevier, vol. 93(C), pages 49-59.
    16. Jonas Hedlund, 2015. "Imitation in Cournot oligopolies with multiple markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(3), pages 567-587, November.
    17. Burkhard C. Schipper, 2021. "The evolutionary stability of optimism, pessimism, and complete ignorance," Theory and Decision, Springer, vol. 90(3), pages 417-454, May.
    18. Jan Potters & Sigrid Suetens, 2013. "Oligopoly Experiments In The Current Millennium," Journal of Economic Surveys, Wiley Blackwell, vol. 27(3), pages 439-460, July.
    19. Gian Italo Bischi & Fabio Lamantia & Davide Radi, 2018. "Evolutionary oligopoly games with heterogeneous adaptive players," Chapters, in: Luis C. Corchón & Marco A. Marini (ed.), Handbook of Game Theory and Industrial Organization, Volume I, chapter 12, pages 343-370, Edward Elgar Publishing.
    20. repec:tcd:wpaper:tep6 is not listed on IDEAS
    21. Jonathan Newton, 2018. "Evolutionary Game Theory: A Renaissance," Games, MDPI, vol. 9(2), pages 1-67, May.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:cai:reidbu:rei_114_0009. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Jean-Baptiste de Vathaire (email available below). General contact details of provider: https://www.cairn.info/revue-d-economie-industrielle.htm .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.