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Amalgamating players, symmetry, and the Banzhaf value

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  • Casajus, André

    (Center for Mathematical Economics, Bielefeld University)

Abstract

We suggest new characterizations of the Banzhaf value without the symmetry axiom, which reveal that the characterizations by Lehrer (1988, International Journal of Game Theory 17, 89-99) and Nowak (1997, International Journal of Game Theory 26, 127-141) as well as most of the characterizations by Casajus (2010, Theory and Decision, forthcoming) are redundant. Further, we explore symmetry implications of Lehrer's 2-efficiency axiom.

Suggested Citation

  • Casajus, André, 2017. "Amalgamating players, symmetry, and the Banzhaf value," Center for Mathematical Economics Working Papers 442, Center for Mathematical Economics, Bielefeld University.
  • Handle: RePEc:bie:wpaper:442
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    File URL: https://pub.uni-bielefeld.de/download/2909319/2909320
    File Function: First Version, 2010
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    Keywords

    Banzhaf value; amalgamation; symmetry; 2-efficiency;

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