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A new axiomatization of the Banzhaf semivalue


  • 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)


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.

Suggested Citation

  • M. Josune Albizuri & Luis M. Ruiz, 2001. "A new axiomatization of the Banzhaf semivalue," Spanish Economic Review, Springer;Spanish Economic Association, vol. 3(2), pages 97-109.
  • Handle: RePEc:spr:specre:v:3:y:2001:i:2:p:97-109

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    References listed on IDEAS

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    Cited by:

    1. 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.
    2. Pradeep Dubey & Ezra Einy & Ori Haimanko, 2003. "Compound Voting and the Banzhaf Power Index," Discussion Paper Series dp333, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    3. repec:spr:annopr:v:244:y:2016:i:2:d:10.1007_s10479-016-2124-5 is not listed on IDEAS

    More about this item


    Banzhaf; power-index;

    JEL classification:

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


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