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Stationary consistent equilibrium coalition structures constitute the recursive core

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  • Kóczy, LászlóÁ.

Abstract

We study coalitional games where the coalitional payoffs depend on the embedding coalition structure. We introduce a noncooperative, sequential coalition formation model and show that the set of equilibrium outcomes coincides with the recursive core, a generalisation of the core to such games. In order to extend past results limited to totally recursive-balanced partition function form games we introduce a more permissive perfectness concept, subgame-consistency that only requires perfectness in selected subgames. Due to the externalities, the profitability of deviations depends on the partition formed by the remaining players: the stability of core payoff configurations is ensured by a combination of the pessimism of players going for certain profits only and the assumption that players base their stationary strategies on a made-up history punishing some of the possible deviators—and getting this sometimes right.

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  • Kóczy, LászlóÁ., 2015. "Stationary consistent equilibrium coalition structures constitute the recursive core," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 104-110.
  • Handle: RePEc:eee:mateco:v:61:y:2015:i:c:p:104-110
    DOI: 10.1016/j.jmateco.2015.08.006
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    References listed on IDEAS

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