Competitive Outcomes and Endogenous Coalition Formation in an n-Person Game

N. Sun, W. Trockel, Z.F. Yang

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    Abstract

    In this paper we study competitive outcomes and endogenous coalition formation in a cooperative n-person transferable utility (TU) game from the viewpoint of general equilibrium theory.For any given game, we construct a competitive exchange coalition production economy corresponding to the game. First, it is shown that the full core of a TU game is not empty if and only if the completion of the game is balanced.The full core is defined free of any particular coalition structure and the coalitions of the game emerge endogenously from the full core.Second, it is shown that the full core of a completionbalanced general TU game coincides with the set of equilibrium payoff vectors of its corresponding economy and that the coalition structures of the game are endogenously determined by the equilibrium outcomes of the economy.As a consequence, the core of a balanced general TU game coincides with the set of equilibrium payoff vectors of its corresponding economy.
    Original languageEnglish
    Place of PublicationTilburg
    PublisherOperations research
    Number of pages16
    Volume2004-93
    Publication statusPublished - 2004

    Publication series

    NameCentER Discussion Paper
    Volume2004-93

    Keywords

    • game theory
    • cooperative games
    • general equilibrium

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