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Power Indices and Minimal Winning Coalitions in Simple Games with Externalities Abstract: We propose a generalization of simple games to situations with coalitional externalities. The main novelty of our generalization is a monotonicity property that we define for games in partition function form. This property allows us to properly speak about minimal winning embedded coalitions. We propose and characterize two power indices based on these kind of coalitions. We provide methods based on the multilinear extension of the game to compute the indices. Finally, the new indices are used to study the distribution of power in the current Parliament of Andalusia

Author

Listed:
  • José María Alonso-Meijide

    (Universidade de Santiago de Compostela)

  • Mikel Álvarez-Mozos

    (Facultat d'Economia i Empresa; Universitat de Barcelona (UB))

  • María Gloria Fiestras-Janeiro

    (Universidade de Vigo)

Abstract

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  • José María Alonso-Meijide & Mikel Álvarez-Mozos & María Gloria Fiestras-Janeiro, 2015. "Power Indices and Minimal Winning Coalitions in Simple Games with Externalities Abstract: We propose a generalization of simple games to situations with coalitional externalities. The main novelty of ," UB School of Economics Working Papers 2015/328, University of Barcelona School of Economics.
    • Handle: RePEc:ewp:wpaper:328web
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    References listed on IDEAS

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    More about this item

    Keywords

    Deegan-Packel Index; Public Good Index; Simple Games; Partition Function Form; Monotonicity; Multilinear Extension.;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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