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The ?-Core and Coalition Formation

Author

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  • Parkash Chander

    (National University of Singapore)

Abstract

This paper reinterprets the ? -core (Chander and Tulkens (1995, 1997)) and justifies it as well as its prediction that the efficient coalition structure is stable in terms of the coalition formation theory. It is assumed that coalitions can freely merge or break apart, are farsighted (that is, it is the final and not the immediate payoffs that matter to the coalitions) and a coalition may deviate if and only if it stands to gain from it. It is then shown that subsequent to a deviation by a coalition, the nonmembers will have incentives to break apart into singletons, as is assumed in the definition of the ? - characteristic function, and that the grand coalition is the only stable coalition structure.

Suggested Citation

  • Parkash Chander, 2003. "The ?-Core and Coalition Formation," Working Papers 2003.94, Fondazione Eni Enrico Mattei.
    • Handle: RePEc:fem:femwpa:2003.94
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    Citations

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    Cited by:

    1. Porchiung Chou & Cheickna Sylla, 2008. "The formation of an international environmental agreement as a two-stage exclusive cartel formation game with transferable utilities," International Environmental Agreements: Politics, Law and Economics, Springer, vol. 8(4), pages 317-341, December.
    2. Chander, Parkash & Tulkens, Henry, 2006. "Cooperation, Stability and Self-Enforcement in International Environmental Agreements: A Conceptual Discussion," Coalition Theory Network Working Papers 12170, Fondazione Eni Enrico Mattei (FEEM).

    More about this item

    Keywords

    Core; Characteristic function; Strategic games; Coalition formation;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D62 - Microeconomics - - Welfare Economics - - - Externalities

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