IDEAS home Printed from https://ideas.repec.org/a/bla/ausecp/v47y2008i3p259-263.html

Stability And Instability Of The Coucrnot Equilibrium

Author

Listed:
  • EIICHI CHUMAN

Abstract

Conditions for the Cournot equilibrium to be locally asymptotically stable or unstable are explored, which are still compatible with the second‐order condition for the optimum. The Cournot equilibrium may not be stable even if the condition owing to Fisher (1961), Hahn (1962), and Okuguchi (1964, 1976, 1999) is satisfied, which was given as a sufficient condition for the Cournot equilibrium to be stable. However, as long as a game by symmetric players is concerned, the Cournot equilibrium is unstable whenever F‐H‐O condition is not satisfied. In this sense, that F‐H‐O condition is not satisfied is sufficient for the Cournot equilibrium to be unstable.

Suggested Citation

  • Eiichi Chuman, 2008. "Stability And Instability Of The Coucrnot Equilibrium," Australian Economic Papers, Wiley Blackwell, vol. 47(3), pages 259-263, September.
    • Handle: RePEc:bla:ausecp:v:47:y:2008:i:3:p:259-263
    DOI: 10.1111/j.1467-8454.2008.00346.x
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/j.1467-8454.2008.00346.x
    Download Restriction: no
    File URL: https://libkey.io/10.1111/j.1467-8454.2008.00346.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. F. H. Hahn, 1962. "The Stability of the Cournot Oligopoly Solution," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 29(4), pages 329-331.
    2. Seade, Jesus, 1980. "The stability of cournot revisited," Journal of Economic Theory, Elsevier, vol. 23(1), pages 15-27, August.
    3. 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.
    4. al-Nowaihi, A. & Levine, P. L., 1985. "The stability of the cournot oligopoly model: A reassessment," Journal of Economic Theory, Elsevier, vol. 35(2), pages 307-321, August.
    5. Gal-Or, Esther, 1985. "First Mover and Second Mover Advantages," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(3), pages 649-653, October.
    6. 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.
    7. K. Okuguchi, 1964. "The Stability of The Cournot Oligopoly Solution: A Further Generalization," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 31(2), pages 143-146.
    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. Troy Tassier, 2013. "Handbook of Research on Complexity, by J. Barkley Rosser, Jr. and Edward Elgar," Eastern Economic Journal, Palgrave Macmillan;Eastern Economic Association, vol. 39(1), pages 132-133.
    2. Chuman, Eiichi, 2010. "Comparing Cournot and Stackelberg Duopoly," Hitotsubashi Journal of Economics, Hitotsubashi University, vol. 51(2), pages 59-73, December.
    3. Antonio Doria, Francisco, 2011. "J.B. Rosser Jr. , Handbook of Research on Complexity, Edward Elgar, Cheltenham, UK--Northampton, MA, USA (2009) 436 + viii pp., index, ISBN 978 1 84542 089 5 (cased)," Journal of Economic Behavior & Organization, Elsevier, vol. 78(1-2), pages 196-204, April.
    4. Koji Okuguchi & Takeshi Yamazaki, 2018. "Existence of Unique Equilibrium in Cournot Mixed Oligopoly," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 20(03), pages 1-13, September.
    5. 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.
    6. Bervoets, Sebastian & Faure, Mathieu, 2019. "Stability in games with continua of equilibria," Journal of Economic Theory, Elsevier, vol. 179(C), pages 131-162.
    7. Gao, Xing & Zhong, Weijun & Mei, Shue, 2012. "On local stability of Cournot models with simultaneous and sequential decisions," Mathematical Social Sciences, Elsevier, vol. 63(3), pages 207-212.
    8. 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.
    9. Awi Federgruen & Ming Hu, 2021. "Technical Note—Global Robust Stability in a General Price and Assortment Competition Model," Operations Research, INFORMS, vol. 69(1), pages 164-174, January.
    10. Zhang, Anming & Zhang, Yimin, 1996. "Stability of a Cournot-Nash equilibrium: The multiproduct case," Journal of Mathematical Economics, Elsevier, vol. 26(4), pages 441-462.
    11. Colombo, Luca & Labrecciosa, Paola, 2013. "On the convergence to the Cournot equilibrium in a productive asset oligopoly," Journal of Mathematical Economics, Elsevier, vol. 49(6), pages 441-445.
    12. Hommes, C.H. & Ochea, M. & Tuinstra, J., 2011. "On the stability of the Cournot equilibrium: An evolutionary approach," CeNDEF Working Papers 11-10, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    13. 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.
    14. Bervoets, Sebastian & Faure, Mathieu, 2020. "Convergence in games with continua of equilibria," Journal of Mathematical Economics, Elsevier, vol. 90(C), pages 25-30.
    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. 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.
    17. Ira Horowitz, 1970. "Nondogmatic Conjectures In A Cournot Market," Economic Inquiry, Western Economic Association International, vol. 8(1), pages 73-85, March.
    18. Dastidar, Krishnendu Ghosh, 2000. "Is a Unique Cournot Equilibrium Locally Stable?," Games and Economic Behavior, Elsevier, vol. 32(2), pages 206-218, August.
    19. Bazhanov, Andrei & Levin, Yuri & Nediak, Mikhail, 2015. "Quantity Competition in the Presence of Strategic Consumers," MPRA Paper 62075, University Library of Munich, Germany.
    20. Hefti, Andreas, 2016. "On the relationship between uniqueness and stability in sum-aggregative, symmetric and general differentiable games," Mathematical Social Sciences, Elsevier, vol. 80(C), pages 83-96.

    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:ausecp:v:47:y:2008:i:3:p:259-263. 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: http://www.blackwellpublishing.com/journal.asp?ref=0004-900X .

    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.