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Endogenous Stackelberg leadership

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  • Eric van Damme
  • Sjaak Hurkens

Abstract

We consider a linear quantity setting duopoly game and analyze which of the players will commit when both players have the possibility to do so. To that end, we study a 2-stage game in which each player can either commit to a quantity in stage 1 or wait till stage 2. We show that committing is more risky for the high cost firm and that, consequently, risk dominance considerations, as in Harsanyi and Selten (1988), allow the conclusion that only the low cost firm will choose to commit. Hence, the low cost firm will emerge as the endogenous Stackelberg leader.

Suggested Citation

  • Eric van Damme & Sjaak Hurkens, 1996. "Endogenous Stackelberg leadership," Economics Working Papers 190, Department of Economics and Business, Universitat Pompeu Fabra.
  • Handle: RePEc:upf:upfgen:190
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    References listed on IDEAS

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    1. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, March.
    2. Hamilton, Jonathan H. & Slutsky, Steven M., 1990. "Endogenous timing in duopoly games: Stackelberg or cournot equilibria," Games and Economic Behavior, Elsevier, vol. 2(1), pages 29-46, March.
    3. A. Michael Spence, 1979. "Investment Strategy and Growth in a New Market," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 1-19, Spring.
    4. Mailath George J., 1993. "Endogenous Sequencing of Firm Decisions," Journal of Economic Theory, Elsevier, vol. 59(1), pages 169-182, February.
    5. Saloner, Garth, 1987. "Cournot duopoly with two production periods," Journal of Economic Theory, Elsevier, vol. 42(1), pages 183-187, June.
    6. van Damme, Eric & Hurkens, Sjaak, 2004. "Endogenous price leadership," Games and Economic Behavior, Elsevier, vol. 47(2), pages 404-420, May.
    7. Fudenberg, Drew & Tirole, Jean, 1983. "Capital as a commitment: Strategic investment to deter mobility," Journal of Economic Theory, Elsevier, vol. 31(2), pages 227-250, December.
    8. Ellingsen, Tore, 1995. "On flexibility in oligopoly," Economics Letters, Elsevier, vol. 48(1), pages 83-89, April.
    9. Pal, Debashis, 1991. "Cournot duopoly with two production periods and cost differentials," Journal of Economic Theory, Elsevier, vol. 55(2), pages 441-448, December.
    10. Sadanand, V. & Green, E.J., 1991. "Firm Scale and the Endogenous Timing of Entry : A Choice Between Commitment and Flexibility," Working Papers 1991-11, University of Guelph, Department of Economics and Finance.
    11. van Damme, E.E.C. & Carlsson, H., 1993. "Equilibrium selection in stag hunt games," Other publications TiSEM 8951ae88-c6e4-42e6-b253-b, Tilburg University, School of Economics and Management.
    12. Sadanand, Asha & Sadanand, Venkatraman, 1996. "Firm Scale and the Endogenous Timing of Entry: a Choice between Commitment and Flexibility," Journal of Economic Theory, Elsevier, vol. 70(2), pages 516-530, August.
    13. Spencer, Barbara J. & Brander, James A., 1992. "Pre-commitment and flexibility : Applications to oligopoly theory," European Economic Review, Elsevier, vol. 36(8), pages 1601-1626, December.
    14. Steve Dowrick, 1986. "von Stackelberg and Cournot Duopoly: Choosing Roles," RAND Journal of Economics, The RAND Corporation, vol. 17(2), pages 251-260, Summer.
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    More about this item

    Keywords

    Duopoly; Stackelberg; equilibrium selection;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection

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