IDEAS home Printed from https://ideas.repec.org/a/ebl/ecbull/eb-10-00656.html
   My bibliography  Save this article

The Stackelberg equilibrium as a consistent conjectural equilibrium

Author

Listed:
  • Ludovic A. Julien

    () (LEG, Université de Bourgogne)

  • Olivier Musy

    () (EconomiX, Université Paris Ouest-Nanterre La Défense)

  • Aurélien W. Saidi

    () (Information & Operations Management Department, ESCP Europe)

Abstract

We consider a static game with conjectural variations where some firms make conjectures while others do not. Two propositions are proved. We first show that there exists a continuum of conjectural variations such that the conjectural equilibrium locally coincides with the Stackelberg equilibrium (Proposition 1). Second, we define the conditions under which a conjectural equilibrium is a locally consistent equilibrium (i.e. such that conjectures are fulfilled). The concept of (local) consistency is restricted to firms making conjectures. Two conditions on consistency are featured: consistency within a cohort and consistency among cohorts. The Stackelberg equilibrium fulfills only the latter condition (Proposition 2). An example is provided.

Suggested Citation

  • Ludovic A. Julien & Olivier Musy & Aurélien W. Saidi, 2011. "The Stackelberg equilibrium as a consistent conjectural equilibrium," Economics Bulletin, AccessEcon, vol. 31(1), pages 938-949.
  • Handle: RePEc:ebl:ecbull:eb-10-00656
    as

    Download full text from publisher

    File URL: http://www.accessecon.com/Pubs/EB/2011/Volume31/EB-11-V31-I1-P89.pdf
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Hanif D. Sherali, 1984. "A Multiple Leader Stackelberg Model and Analysis," Operations Research, INFORMS, pages 390-404.
    2. Figuieres, Charles & Tidball, Mabel & Jean-Marie, Alain, 2004. "On the effects of conjectures in a symmetric strategic setting," Research in Economics, Elsevier, pages 75-102.
    3. Hanif D. Sherali & Allen L. Soyster & Frederic H. Murphy, 1983. "Stackelberg-Nash-Cournot Equilibria: Characterizations and Computations," Operations Research, INFORMS, pages 253-276.
    4. Victor DeMiguel & Huifu Xu, 2009. "A Stochastic Multiple-Leader Stackelberg Model: Analysis, Computation, and Application," Operations Research, INFORMS, pages 1220-1235.
    5. Figuieres, Charles & Tidball, Mabel & Jean-Marie, Alain, 2004. "On the effects of conjectures in a symmetric strategic setting," Research in Economics, Elsevier, pages 75-102.
    6. Martin K. Perry, 1982. "Oligopoly and Consistent Conjectural Variations," Bell Journal of Economics, The RAND Corporation, vol. 13(1), pages 197-205, Spring.
    7. van Damme, Eric & Hurkens, Sjaak, 1999. "Endogenous Stackelberg Leadership," Games and Economic Behavior, Elsevier, vol. 28(1), pages 105-129, July.
    8. van Damme, Eric & Hurkens, Sjaak, 1999. "Endogenous Stackelberg Leadership," Games and Economic Behavior, Elsevier, vol. 28(1), pages 105-129, July.
    9. Friedman, James W. & Mezzetti, Claudio, 2002. "Bounded rationality, dynamic oligopoly, and conjectural variations," Journal of Economic Behavior & Organization, Elsevier, vol. 49(3), pages 287-306, November.
    10. Dixit, Avinash K, 1986. "Comparative Statics for Oligopoly," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 27(1), pages 107-122, February.
    11. Bresnahan, Timothy F, 1981. "Duopoly Models with Consistent Conjectures," American Economic Review, American Economic Association, pages 934-945.
    12. Morton I. Kamien & Nancy L. Schwartz, 1983. "Conjectural Variations," Canadian Journal of Economics, Canadian Economics Association, vol. 16(2), pages 191-211, May.
    13. Ulph, David, 1983. "Rational conjectures in the theory of oligopoly," International Journal of Industrial Organization, Elsevier, vol. 1(2), pages 131-154, June.
    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. Ibrahim Abada & Andreas Ehrenmann, 2016. "The prisoner’s dilemma in Cournot models: when endogenizing the level of competition leads to competitive behaviors," Cambridge Working Papers in Economics 1641, Faculty of Economics, University of Cambridge.

    More about this item

    Keywords

    Consistent conjectural variations; reaction functions; Stackelberg competition;

    JEL classification:

    • D4 - Microeconomics - - Market Structure, Pricing, and Design
    • L1 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance

    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:ebl:ecbull:eb-10-00656. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (John P. Conley). General contact details of provider: .

    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 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.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.