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On hierarchical competition in oligopoly

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  • Ludovic Julien
  • Olivier Musy
  • Aurélien Saïdi

Abstract

In this paper, we consider a hierarchical oligopoly model, in which firms compete on quantities of an homogeneous product. We provide a proof and an interpretation that under the three necessary and sufficient conditions of linear aggregate demand, constant and identical marginal costs, the strategy of leaders at any stage depends neither on the number of leaders who play after nor on the number of remaining stages. So, all firms behave as Cournotian oligopolists on the residual demand. We show that these three assumptions are not only sufficient but also necessary. Any departure from any of these assumptions rules out this property. Copyright Springer-Verlag 2012

Suggested Citation

  • Ludovic Julien & Olivier Musy & Aurélien Saïdi, 2012. "On hierarchical competition in oligopoly," Journal of Economics, Springer, vol. 107(3), pages 217-237, November.
    • Handle: RePEc:kap:jeczfn:v:107:y:2012:i:3:p:217-237
    DOI: 10.1007/s00712-012-0286-4
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    References listed on IDEAS

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    1. Hanif D. Sherali, 1984. "A Multiple Leader Stackelberg Model and Analysis," Operations Research, INFORMS, vol. 32(2), pages 390-404, April.
    2. Anderson, Simon P. & Engers, Maxim, 1992. "Stackelberg versus Cournot oligopoly equilibrium," International Journal of Industrial Organization, Elsevier, vol. 10(1), pages 127-135, March.
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    7. Daughety, Andrew F, 1990. "Beneficial Concentration," American Economic Review, American Economic Association, vol. 80(5), pages 1231-1237, December.
    8. Ludovic A. Julien & Olivier Musy, 2011. "A Generalized Oligopoly Model With Conjectural Variations," Metroeconomica, Wiley Blackwell, vol. 62(3), pages 411-433, July.
    9. Amir, Rabah & Grilo, Isabel, 1999. "Stackelberg versus Cournot Equilibrium," Games and Economic Behavior, Elsevier, vol. 26(1), pages 1-21, January.
    10. Matsumura, Toshihiro, 1999. "Quantity-setting oligopoly with endogenous sequencing," International Journal of Industrial Organization, Elsevier, vol. 17(2), pages 289-296, February.
    11. Richard Watt, 2002. "A Generalized Oligopoly Model," Metroeconomica, Wiley Blackwell, vol. 53(1), pages 46-55, February.
    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.
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    Cited by:

    1. Daniel Cracau & Benjamin Franz, 2013. "Judo Economics in Markets with Multiple Firms," FEMM Working Papers 130013, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.
    2. Toomas Hinnosaar, 2021. "Stackelberg Independence," Journal of Industrial Economics, Wiley Blackwell, vol. 69(1), pages 214-238, March.
    3. Julien, Ludovic & Musy, Oliver & Saidi, Aurélien, 2011. "Do Followers Really Matter in Stackelberg Competition?," Revista Lecturas de Economía, Universidad de Antioquia, CIE, November.

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    More about this item

    Keywords

    Hierarchical model; Linear economy; Oligopoly competition; D43; L13; L20;
    All these keywords.

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • L20 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - General

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