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Time Consistency in Games of Timing

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  • Luca Lambertini

    (University of Bologna)

Abstract

This paper tackles the issue of choosing roles in duopoly games. First, it is shown that the two necessary (and sufficient, if both satisfied) conditions for sequential play to emerge at equilibrium are that both leader and follower are at least weakly better off than under simultaneous play. Second, by means of a two-stage game of vertical differentation, it is shown that if firms can commit to their respective timing decisions, there may exist a case where the leader is not necessarily better off than the simultaneous equilibrium. Finally, in the absence of any commitment devices, it is proved that the timing choice can be time inconsistent if it is taken before firms proceed to play in both stages taking place in real time.

Suggested Citation

  • Luca Lambertini, 1997. "Time Consistency in Games of Timing," Discussion Papers 97-10, University of Copenhagen. Department of Economics.
    • Handle: RePEc:kud:kuiedp:9710
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    References listed on IDEAS

    as
    1. 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.
    2. Lambertini, Luca, 1996. "Choosing Roles in a Duopoly for Endogenously Differentiated Products," Australian Economic Papers, Wiley Blackwell, vol. 35(67), pages 205-224, December.
    3. Jeremy I. Bulow & John Geanakoplos & Paul D. Klemperer, 1983. "Multimarket Oligopoly," Cowles Foundation Discussion Papers 674, Cowles Foundation for Research in Economics, Yale University.
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    7. Robson, Arthur J, 1990. "Duopoly with Endogenous Strategic Timing: Stackelberg Regained," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(2), pages 263-274, May.
    8. Boyer, Marcel & Moreaux, Michel, 1987. "On Stackelberg Equilibria with Differentiated Products: The Critical Role of the Strategy Space," Journal of Industrial Economics, Wiley Blackwell, vol. 36(2), pages 217-230, December.
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    10. Jaskold Gabszewicz, J. & Thisse, J. -F., 1979. "Price competition, quality and income disparities," Journal of Economic Theory, Elsevier, vol. 20(3), pages 340-359, June.
    11. Amir Rabah, 1995. "Endogenous Timing in Two-Player Games: A Counterexample," Games and Economic Behavior, Elsevier, vol. 9(2), pages 234-237, May.
    12. Pal, Debashis, 1996. "Endogenous Stackelberg Equilibria with Identical Firms," Games and Economic Behavior, Elsevier, vol. 12(1), pages 81-94, January.
    13. Ono, Yoshiyasu, 1982. "Price Leadership: A Theoretical Analysis," Economica, London School of Economics and Political Science, vol. 49(193), pages 11-20, February.
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    Cited by:

    1. Giulio ECCHIA & Luca LAMBERTINI, 2001. "Endogenous Timing and Quality Standards in a Vertically Differentiated Duopoly," Discussion Papers (REL - Recherches Economiques de Louvain) 2001021, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).

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    More about this item

    Keywords

    extended game; sequential play; simultaneous play; time consistency; vertical differentation;
    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

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