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Stable coalition structures in simple games with veto control

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  • Çiftçi, Baris

    (Center for Mathematical Economics, Bielefeld University)

  • Dimitrov, Dinko

    (Center for Mathematical Economics, Bielefeld University)

Abstract

In this paper we study hedonic coalition formation games in which players' preferences over coalitions are induced by a semi-value of a monotonic simple game with veto control. We consider partitions of the player set in which the winning coalition contains the union of all minimal winning coalitions, and show that each of these partitions belongs to the strict core of the hedonic game. Exactly such coalition structures constitute the strict core when the simple game is symmetric. Provided that the veto player set is not a winning coalition in a symmetric simple game, then the partition containing the grand coalition is the unique strictly core stable coalition structure.

Suggested Citation

  • Çiftçi, Baris & Dimitrov, Dinko, 2011. "Stable coalition structures in simple games with veto control," Center for Mathematical Economics Working Papers 384, Center for Mathematical Economics, Bielefeld University.
    • Handle: RePEc:bie:wpaper:384
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    References listed on IDEAS

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    Cited by:

    1. Barış Çiftçi & Peter Borm & Herbert Hamers, 2010. "Population monotonic path schemes for simple games," Theory and Decision, Springer, vol. 69(2), pages 205-218, August.

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    More about this item

    Keywords

    Strict core; Semi-value; Shapley value; Banzhaf value; Simple game; Hedonic game;
    All these keywords.

    JEL classification:

    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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