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Weighted Banzhaf values

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Abstract

The family of weighted Banzhaf values for cooperativen-person TU-games is studied. First we introduce the weighted Banzhaf value for an exogenously given vector of positive weights of the players. Then we give an axiomatic characterization of the class of all possible weighted Banzhaf values.

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Authors and Affiliations

  1. Institute of Mathematics, Technical University of Wroclaw, 50-370, Wrocław, Poland

    Tadeusz Radzik & Andrzej S. Nowak

  2. Department of Applied Mathematics, University of Twente, Enschede, The Netherlands

    Theo S. H. Driessen

Authors
  1. Tadeusz Radzik
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  2. Andrzej S. Nowak
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  3. Theo S. H. Driessen
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Radzik, T., Nowak, A.S. & Driessen, T.S.H. Weighted Banzhaf values. Mathematical Methods of Operations Research 45, 109–118 (1997). https://doi.org/10.1007/BF01194250

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  • DOI: https://doi.org/10.1007/BF01194250

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