IDEAS home Printed from https://ideas.repec.org/a/spr/joecth/v20y2002i3p555-577.html
   My bibliography  Save this article

Bertrand vs. Cournot equilibrium with risk averse firms and cost uncertainty

Author

Listed:
  • Harrison Cheng

    (Department of Economics, University of Southern California, University Park, Los Angeles, CA, 90089-0253, USA)

Abstract

In an oligopoly game with cost uncertainty and risk averse firms, we show that Bertrand and Cournot equilibrium have different convergence properties when the market is replicated. The Cournot equilibrium price converges to the competitive price. Under very typical and somewhat general conditions, the highest Bertrand equilibrium price converges to one higher than the competitive equilibrium. We also give examples to show how to compute the limit of the highest Bertrand equilibrium prices and illustrate the ideas of the proof. We explore conditions under which the supply curve is upward sloping, a useful condition for our results.

Suggested Citation

  • Harrison Cheng, 2002. "Bertrand vs. Cournot equilibrium with risk averse firms and cost uncertainty," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(3), pages 555-577.
    • Handle: RePEc:spr:joecth:v:20:y:2002:i:3:p:555-577
    Note: Received: April 20, 2000; revised version: May 10, 2001
    as

    Download full text from publisher

    File URL: http://link.springer.de/link/service/journals/00199/papers/2020003/20200555.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. Peyman Khezr & Flavio M. Menezes, 2021. "Entry and social efficiency under Bertrand competition and asymmetric information," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(4), pages 927-944, December.
    2. Kurt R. Brekke & Luigi Siciliani & Odd Rune Straume, 2018. "Can Competition Reduce Quality?," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 174(3), pages 421-447, September.
    3. Wentao Yi & Chunqiao Tan, 2019. "Bertrand Game with Nash Bargaining Fairness Concern," Complexity, Hindawi, vol. 2019, pages 1-22, August.
    4. Jim Y. Jin & Shinji Kobayashi, 2016. "Impact of risk aversion and countervailing tax in oligopoly," Annals of Finance, Springer, vol. 12(3), pages 393-408, December.
    5. Xing Gao & Weijun Zhong, 2016. "Economic incentives in security information sharing: the effects of market structures," Information Technology and Management, Springer, vol. 17(4), pages 361-377, December.

    More about this item

    Keywords

    Market size; Bertrand competition; Cournot competition; risk averse firms; Cost uncertainty.;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

    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:joecth:v:20:y:2002:i:3:p:555-577. 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.