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Stationary Consistent Equilibrium Coalition Structures Constitute the Recursive Core

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  • Koczy, Laszlo A.

Abstract

We study coalitional games where the proceeds from cooperation depend on the entire coalition structure. The coalition structure core (Kóczy, 2007) is a generalisation of the coalition structure core for such games. We introduce a noncooperative, sequential coalition formation model and show that the set of equilibrium outcomes coincides with the recursive core. In order to extend past results to games that are not totally balanced (understood in this special setting) we introduce subgame-consistency that requires perfectness in relevant subgames only, while subgames that are never reached are ignored.

Suggested Citation

  • Koczy, Laszlo A., 2009. "Stationary Consistent Equilibrium Coalition Structures Constitute the Recursive Core," Sustainable Development Papers 54365, Fondazione Eni Enrico Mattei (FEEM).
  • Handle: RePEc:ags:feemdp:54365
    DOI: 10.22004/ag.econ.54365
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    File URL: http://ageconsearch.umn.edu/record/54365/files/83-09.pdf
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    References listed on IDEAS

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    Cited by:

    1. László Á. Kóczy, 2018. "Partition Function Form Games," Theory and Decision Library C, Springer, number 978-3-319-69841-0, December.

    More about this item

    Keywords

    Environmental Economics and Policy;

    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

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