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Forming societies and the Shapley NTU value

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  • Juan Vidal-Puga

    (Universidade de Vigo)

Abstract

We design a simple protocol of coalition formation. A society grows up by sequentially incorporating new members. The negotiations are always bilateral. We study this protocol in the context of non-transferable utility (NTU) games in characteristic function form. When the corresponding NTU game (N,V) satisfies that V(N) is flat, the only payoff which arises in equilibrium is the Shapley NTU value.

Suggested Citation

  • Juan Vidal-Puga, 2004. "Forming societies and the Shapley NTU value," Game Theory and Information 0401003, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpga:0401003
    Note: Type of Document - Acrobat PDF; prepared on WinXP; to print on HP; pages: 40; figures: Included
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    References listed on IDEAS

    as
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    More about this item

    Keywords

    Shapley NTU value; sequential formation of coalitions; subgame perfect equilibrium;
    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
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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