IDEAS home Printed from https://ideas.repec.org/a/spr/joevec/v9y1999i3p367-371.html
   My bibliography  Save this article

A note on evolutionary stability of Bertrand equilibrium

Author

Listed:
  • Burkhard Hehenkamp

    (Department of Economics, University of Dortmund, D-44221 Dortmund, Germany)

  • Wolfgang Leininger

    (Department of Economics, University of Dortmund, D-44221 Dortmund, Germany)

Abstract

It is shown that the equilibrium notion of an evolutionary stable strategy (ESS) does have predictive power for standard models of Bertrand competition. This is in contrast to a recent claim by Qin and Stuart (1997). The claim is based on the observation that the solution concept ESS behaves discontinuously when finite (discrete) action games approach an infinite (continuous) action game in the limit. Furthermore, it is argued that from a model-theoretic point of view evolutionary stability in prices (i.e. in the Bertrand model) is quite different from evolutionary stability in quantities (i.e. in the Cournot model).

Suggested Citation

  • Burkhard Hehenkamp & Wolfgang Leininger, 1999. "A note on evolutionary stability of Bertrand equilibrium," Journal of Evolutionary Economics, Springer, vol. 9(3), pages 367-371.
    • Handle: RePEc:spr:joevec:v:9:y:1999:i:3:p:367-371
    as

    Download full text from publisher

    File URL: http://link.springer.de/link/service/journals/00191/papers/9009003/90090367.pdf
    Download Restriction: Access to the full text of the articles in this series is restricted
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Fanelli, Domenico, 2010. "The Role of Socially Concerned Consumers in the Coexistence of Ethical and Standard Firms," MPRA Paper 20117, University Library of Munich, Germany.
    2. Kai A. Konrad & Florian Morath & Wieland Müller, 2014. "Taxation and Market Power," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 47(1), pages 173-202, February.
    3. Nagel, Kai & Shubik, Martin & Paczuski, Maya & Bak, Per, 2000. "Spatial competition and price formation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 287(3), pages 546-562.
    4. Hehenkamp, Burkhard, 2002. "Sluggish Consumers: An Evolutionary Solution to the Bertrand Paradox," Games and Economic Behavior, Elsevier, vol. 40(1), pages 44-76, July.
    5. 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.
    6. Xavier Vilà, 2008. "A Model-To-Model Analysis of Bertrand Competition," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 11(2), pages 1-11.
    7. Yasuhiro Shirata, 2020. "Evolution of a Collusive Price in a Networked Market," Dynamic Games and Applications, Springer, vol. 10(2), pages 528-554, June.
    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.

    More about this item

    Keywords

    Bertrand ; Oligopoly ; Evolution ; Evolutionary stability;
    All these keywords.

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

    Statistics

    Access and download statistics

    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:spr:joevec:v:9:y:1999:i:3:p:367-371. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.