IDEAS home Printed from https://ideas.repec.org/p/drm/wpaper/2011-10.html
   My bibliography  Save this paper

Do followers really matter in Stackelberg competition?

Author

Listed:
  • Ludovic A. Julien
  • Olivier Musy
  • Aurélien W. Saïdi

Abstract

In this note, we consider a generalized T−stage Stackelberg oligopoly. We provide a proof and an interpretation that under the two necessary and sufficient conditions of linear aggregate demand and identical constant marginal costs, followers do not matter for leaders. Leaders act as rational myopic agents, voluntarily ignoring the number of followers and remaining stages, thereby behaving as Cournotian oligopolists. Strategies of incumbent firms are invariant to entry of new cohorts. Their profits can be studied by the way of two discount factors: the first impacting markup and the second impacting output supply. Some implications in terms of welfare and convergence toward competitive equilibrium are derived.

Suggested Citation

  • Ludovic A. Julien & Olivier Musy & Aurélien W. Saïdi, 2011. "Do followers really matter in Stackelberg competition?," EconomiX Working Papers 2011-10, University of Paris Nanterre, EconomiX.
  • Handle: RePEc:drm:wpaper:2011-10
    as

    Download full text from publisher

    File URL: http://economix.fr/pdf/dt/2011/WP_EcoX_2011-10.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, vol. 32(2), pages 390-404, April.
    2. Ludovic Julien & Olivier Musy & Aurélien Saïdi, 2012. "On hierarchical competition in oligopoly," Journal of Economics, Springer, vol. 107(3), pages 217-237, November.
    3. Anderson, Simon P. & Engers, Maxim, 1992. "Stackelberg versus Cournot oligopoly equilibrium," International Journal of Industrial Organization, Elsevier, vol. 10(1), pages 127-135, March.
    4. Federico Etro, 2008. "Stackelberg Competition with Endogenous Entry," Economic Journal, Royal Economic Society, vol. 118(532), pages 1670-1697, October.
    5. Ludovic A. Julien & Olivier Musy, 2011. "A Generalized Oligopoly Model With Conjectural Variations," Metroeconomica, Wiley Blackwell, vol. 62(3), pages 411-433, July.
    6. John S. Heywood & Matthew McGinty, 2007. "Mergers among leaders and mergers among followers," Economics Bulletin, AccessEcon, vol. 12(12), pages 1-7.
    7. Amir, Rabah & Grilo, Isabel, 1999. "Stackelberg versus Cournot Equilibrium," Games and Economic Behavior, Elsevier, vol. 26(1), pages 1-21, January.
    8. John S. Heywood & Matthew McGinty, 2008. "Leading and Merging: Convex Costs, Stackelberg, and the Merger Paradox," Southern Economic Journal, Southern Economic Association, vol. 74(3), pages 879-893, January.
    9. Xavier Vives, 2001. "Oligopoly Pricing: Old Ideas and New Tools," MIT Press Books, The MIT Press, edition 1, volume 1, number 026272040x, January.
    10. Richard Watt, 2002. "A Generalized Oligopoly Model," Metroeconomica, Wiley Blackwell, vol. 53(1), pages 46-55, February.
    11. Boyer, Marcel & Moreaux, Michel, 1986. "Perfect competition as the limit of a hierarchical market game," Economics Letters, Elsevier, vol. 22(2-3), pages 115-118.
    12. Pal, Debashis & Sarkar, Jyotirmoy, 2001. "A Stackelberg Oligopoly with Nonidentical Firms," Bulletin of Economic Research, Wiley Blackwell, vol. 53(2), pages 127-134, April.
    13. Daughety, Andrew F, 1990. "Beneficial Concentration," American Economic Review, American Economic Association, vol. 80(5), pages 1231-1237, December.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Leader’s markup discount factor; linear economy; follower’s output discount factor; myopic behavior;

    JEL classification:

    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • L20 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - General

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:drm:wpaper:2011-10. 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: (Valerie Mignon). General contact details of provider: http://edirc.repec.org/data/modemfr.html .

    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.