IDEAS home Printed from https://ideas.repec.org/a/bla/ecorec/v56y1980i154p253-256.html
   My bibliography  Save this article

Stability Properties in a Dynamic Stackelberg Oligopoly Model

Author

Listed:
  • JOHN A. RICKARD

Abstract

The paper considers the oligopoly problem which arises when sellers adopt the ‘Stackelberg strategy’. Using this strategy, each seller maximizes his profit function on the assumption that each of his rivals adopts the usual Cournot assumption. The effects of an incomplete adjustment process and variable marginal cost are considered. A necessary and sufficient condition for the stability of the solution w obtained. For constant marginal cost the solution is only stable for three or fewer sellers. In general, increasing marginal cost has a stabilizing effect on the solution but the stability is suprisingly independent of the speed of adjustment.

Suggested Citation

  • 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.
    • Handle: RePEc:bla:ecorec:v:56:y:1980:i:154:p:253-256
    DOI: 10.1111/j.1475-4932.1980.tb01675.x
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/j.1475-4932.1980.tb01675.x
    Download Restriction: no
    File URL: https://libkey.io/10.1111/j.1475-4932.1980.tb01675.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. Osborne, D K, 1971. "The Duopoly Game: Output Variations," American Economic Review, American Economic Association, vol. 61(4), pages 538-560, September.
    2. 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.
    3. 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.
    4. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. 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.
    2. 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.

    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. Bervoets, Sebastian & Faure, Mathieu, 2020. "Convergence in games with continua of equilibria," Journal of Mathematical Economics, Elsevier, vol. 90(C), pages 25-30.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. Eiichi Chuman, 2008. "Stability And Instability Of The Coucrnot Equilibrium," Australian Economic Papers, Wiley Blackwell, vol. 47(3), pages 259-263, September.
    8. 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.
    9. Bervoets, Sebastian & Faure, Mathieu, 2019. "Stability in games with continua of equilibria," Journal of Economic Theory, Elsevier, vol. 179(C), pages 131-162.
    10. 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.
    11. 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.
    12. 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.
    13. Ira Horowitz, 1970. "Nondogmatic Conjectures In A Cournot Market," Economic Inquiry, Western Economic Association International, vol. 8(1), pages 73-85, March.
    14. Fabio Lamantia & Anghel Negriu & Jan Tuinstra, 2018. "Technology choice in an evolutionary oligopoly game," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 41(2), pages 335-356, November.
    15. Davide Radi & Laura Gardini, 2023. "Ambiguity aversion as a route to randomness in a duopoly game," Papers 2311.11366, arXiv.org.
    16. 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.
    17. Chen, Hsiao-Chi & Chow, Yunshyong, 2016. "Stability of Cournot equilibria under discrete best-reply dynamics with non-negative output constraints," Economics Letters, Elsevier, vol. 149(C), pages 172-175.
    18. Lamantia, F. & Negriu, A. & Tuinstra, J., 2016. "Evolutionary Cournot competition with endogenous technology choice: (in)stability and optimal policy," CeNDEF Working Papers 16-08, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    19. Chuman, Eiichi, 2010. "Comparing Cournot and Stackelberg Duopoly," Hitotsubashi Journal of Economics, Hitotsubashi University, vol. 51(2), pages 59-73, December.
    20. 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.

    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:56:y:1980:i:154:p:253-256. 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.