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Stationary Consistent Equilibrium Coalition Structures Constitute the Recursive Core

Author

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  • László Á. Kóczy

    (Budapest Tech)

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

  • László Á. Kóczy, 2009. "Stationary Consistent Equilibrium Coalition Structures Constitute the Recursive Core," Working Papers 2009.83, Fondazione Eni Enrico Mattei.
    • Handle: RePEc:fem:femwpa:2009.83
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    Cited by:

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    2. Funaki, Yukihiko & Núñez, Marina, 2024. "Some advances in cooperative game theory: Indivisibilities, externalities and axiomatic approach," Journal of Mathematical Economics, Elsevier, vol. 115(C).
    3. László Á. Kóczy, 2018. "Partition Function Form Games," Theory and Decision Library C, Springer, number 978-3-319-69841-0, December.
    4. Greg Leo & Yevgeniy Vorobeychik & Myrna Wooders, 2023. "Subgame Perfect Coalition Formation," Dynamic Games and Applications, Springer, vol. 13(2), pages 510-524, June.
    5. Maria Montero, 2023. "Coalition Formation in Games with Externalities," Dynamic Games and Applications, Springer, vol. 13(2), pages 525-548, June.

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    Keywords

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    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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