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The Core of Games with Stackelberg Leaders

Author

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  • Currarini, Sergio
  • Marini, Marco

Abstract

This paper considers cooperative game theoretic settings in which forming coalitions can act as Stackelberg leaders. We de�fine a value function which modi�fies the gamma-value function (Hart & Kurz, 1983, Chander & Tulkens, 1997) by letting members of deviating coalitions move �first in choosing a coordinated strategy. We accordingly defi�ne what we call the phi-core, and characterize the phi-core allocations of a cartel formation game and of a public goods economy.

Suggested Citation

  • Currarini, Sergio & Marini, Marco, 1998. "The Core of Games with Stackelberg Leaders," MPRA Paper 22139, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:22139
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    File URL: https://mpra.ub.uni-muenchen.de/22139/1/MPRA_paper_22139.pdf
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    References listed on IDEAS

    as
    1. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-1064, July.
    2. Rajan, Roby, 1989. "Endogenous Coalition Formation in Cooperative Oligopolies," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 30(4), pages 863-876, November.
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    Cited by:

    1. Raúl Bajo-Buenestado & Dodge Cahan, 2015. "Unification of Oligopolistic Markets for a Homogeneous Good in the Presence of an Antitrust Commission," Journal of Industry, Competition and Trade, Springer, vol. 15(3), pages 239-256, September.

    More about this item

    Keywords

    Core; Cooperative Games; Oligopoly; Public Goods;

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory

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