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A new axiomatization of the Banzhaf semivalue

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  • M. Josune Albizuri

    ()
    (Departamento de Economía Aplicada I, Facultad de Ciencias Económicas, Universidad del Pais Vasco, Avenida Lehendakari Agirre, 83, 48015 Bilbao, Spain)

  • Luis M. Ruiz

    ()
    (Departamento de Economía Aplicada I, Facultad de Ciencias Económicas, Universidad del Pais Vasco, Avenida Lehendakari Agirre, 83, 48015 Bilbao, Spain)

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    Abstract

    A new characterization of the Banzhaf semivalue on the domain of monotonic simple games is given. We use the well-known valuation and dummy axioms plus two additional properties. The first one simply requires that the power-index be bigger for those players belonging to more winning coalitions. The second one is the proportionality axiom introduced by Owen in (1982) which is suitable for those simple games that represent an indirect voting process.

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    File URL: http://link.springer.de/link/service/journals/10108/papers/1003002/10030097.pdf
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    Bibliographic Info

    Article provided by Springer in its journal Spanish Economic Review.

    Volume (Year): 3 (2001)
    Issue (Month): 2 ()
    Pages: 97-109

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    Handle: RePEc:spr:specre:v:3:y:2001:i:2:p:97-109

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    Related research

    Keywords: Banzhaf; power-index;

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    Cited by:
    1. Pradeep Dubey & Ezra Einy & Ori Haimanko, 2003. "Compound Voting and the Banzhaf Power Index," Discussion Paper Series dp333, The Center for the Study of Rationality, Hebrew University, Jerusalem.
    2. Dubey, Pradeep & Einy, Ezra & Haimanko, Ori, 2005. "Compound voting and the Banzhaf index," Games and Economic Behavior, Elsevier, vol. 51(1), pages 20-30, April.

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