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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
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    References listed on IDEAS

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    1. Ludovic A. Julien & Olivier Musy, 2015. "A Review of Heinrich von Stackelberg's Book: ‘Market Structure and Equilibrium’," Australian Economic Papers, Wiley Blackwell, vol. 54(1), pages 52-60, March.
    2. 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.

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    More about this item

    Keywords

    Consistent conjectural variations; reaction functions; Stackelberg competition;
    All these keywords.

    JEL classification:

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

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