IDEAS home Printed from https://ideas.repec.org/a/bla/ecorec/v55y1979i1p68-75.html
   My bibliography  Save this article

The Dynamics of Duopoly Output Games Involving Cournot and Related Best‐Response Strategies

Author

Listed:
  • JOHN A. RICKARD

Abstract

The paper considers a variety of perfect information duopoly games involving the Cournot and related best‐response strategies. Firms record their output at the end of each business period. At the beginning of a new period they have to plan their new output; they do so in an attempt to maximize their profits. The importance of discrete time and the resulting time interval between successive outputs is discussed. The difference equations appropriate to the various games are solved exactly, and it is shown that there is always a stable approach to equilibrium at the Cournot point. The convergence of the solutions is discussed.

Suggested Citation

  • John A. Rickard, 1979. "The Dynamics of Duopoly Output Games Involving Cournot and Related Best‐Response Strategies," The Economic Record, The Economic Society of Australia, vol. 55(1), pages 68-75, March.
    • Handle: RePEc:bla:ecorec:v:55:y:1979:i:1:p:68-75
    DOI: 10.1111/j.1475-4932.1979.tb02204.x
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/j.1475-4932.1979.tb02204.x
    Download Restriction: no
    File URL: https://libkey.io/10.1111/j.1475-4932.1979.tb02204.x?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access 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. Franklin M. Fisher, 1961. "The Stability of the Cournot Oligopoly Solution: The Effects of Speeds of Adjustment and Increasing Marginal Costs," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 28(2), pages 125-135.
    3. Alexander Henderson, 1954. "The Theory of Duopoly," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 68(4), pages 565-584.
    4. Osborne, D K, 1971. "The Duopoly Game: Output Variations," American Economic Review, American Economic Association, vol. 61(4), pages 538-560, September.
    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. John A. Rickard, 1980. "Stability Properties in a Dynamic Stackelberg Oligopoly Model," The Economic Record, The Economic Society of Australia, vol. 56(154), pages 253-256, September.
    2. Bervoets, Sebastian & Faure, Mathieu, 2020. "Convergence in games with continua of equilibria," Journal of Mathematical Economics, Elsevier, vol. 90(C), pages 25-30.
    3. Giovanni Paolo Crespi & Davide Radi & Matteo Rocca, 2017. "Robust games: theory and application to a Cournot duopoly model," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 40(1), pages 177-198, November.
    4. Fallucchi, Francesco & Renner, Elke & Sefton, Martin, 2013. "Information feedback and contest structure in rent-seeking games," European Economic Review, Elsevier, vol. 64(C), pages 223-240.
    5. Davis, Douglas, 2011. "Behavioral convergence properties of Cournot and Bertrand markets: An experimental analysis," Journal of Economic Behavior & Organization, Elsevier, vol. 80(3), pages 443-458.
    6. Steffen Huck & Hans-Theo Normann & Jörg Oechssler, 2002. "Stability of the Cournot process - experimental evidence," International Journal of Game Theory, Springer;Game Theory Society, vol. 31(1), pages 123-136.
    7. Cars H. Hommes & Marius I. Ochea & Jan Tuinstra, 2018. "Evolutionary Competition Between Adjustment Processes in Cournot Oligopoly: Instability and Complex Dynamics," Dynamic Games and Applications, Springer, vol. 8(4), pages 822-843, December.
    8. Börgers, Tilman & Janssen, Maarten C.W., 1995. "On the dominance solvability of large cournot games," Games and Economic Behavior, Elsevier, vol. 8(2), pages 297-321.
    9. 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.
    10. Allen M. Russell & John A. Rickard & T.D. Howroyd, 1986. "The Effects of Delays on the Stability and Rate of Convergence to Equilibrium of Oligopolies," The Economic Record, The Economic Society of Australia, vol. 62(2), pages 194-198, June.
    11. Eren Inci, 2004. "A Model of R&D Tax Incentives," Boston College Working Papers in Economics 597, Boston College Department of Economics, revised 09 Oct 2006.
    12. Eiichi Chuman, 2008. "Stability And Instability Of The Coucrnot Equilibrium," Australian Economic Papers, Wiley Blackwell, vol. 47(3), pages 259-263, September.
    13. Charles A. Holt Jr., 1979. "Forecasting Rules as Equilibrium Strategies in Duopoly Models," The American Economist, Sage Publications, vol. 23(2), pages 31-36, October.
    14. Bervoets, Sebastian & Faure, Mathieu, 2019. "Stability in games with continua of equilibria," Journal of Economic Theory, Elsevier, vol. 179(C), pages 131-162.
    15. Nikolaos Chrysanthopoulos & George P. Papavassilopoulos, 2021. "Adaptive rules for discrete-time Cournot games of high competition level markets," Operational Research, Springer, vol. 21(4), pages 2879-2906, December.
    16. Rassenti, Stephen & Reynolds, Stanley S. & Smith, Vernon L. & Szidarovszky, Ferenc, 2000. "Adaptation and convergence of behavior in repeated experimental Cournot games," Journal of Economic Behavior & Organization, Elsevier, vol. 41(2), pages 117-146, February.
    17. Yang, Chin W. & Hwang, Ming J. & Sohng, Soong N., 2002. "The Cournot competition in the spatial equilibrium model," Energy Economics, Elsevier, vol. 24(2), pages 139-154, March.
    18. Bischi, Gian Italo & Lamantia, Fabio & Radi, Davide, 2015. "An evolutionary Cournot model with limited market knowledge," Journal of Economic Behavior & Organization, Elsevier, vol. 116(C), pages 219-238.
    19. Davis, Douglas D., 1999. "Advance production and Cournot outcomes: an experimental investigation," Journal of Economic Behavior & Organization, Elsevier, vol. 40(1), pages 59-79, September.
    20. Tramontana, Fabio & Gardini, Laura & Puu, Tönu, 2009. "Cournot duopoly when the competitors operate multiple production plants," Journal of Economic Dynamics and Control, Elsevier, vol. 33(1), pages 250-265, January.

    More about this item

    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:bla:ecorec:v:55:y:1979:i:1:p:68-75. 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: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/esausea.html .

    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.