Abstract.
We provide a new characterization of the weighted Banzhaf value derived from some postulates in a recent paper by Radzik, Nowak and Driessen [7]. Our approach owes much to the work by Lehrer [4] on the classical Banzhaf value based on the idea of amalgamation of pairs of players and an induction construction of the value. Compared with the approach in [7] we consider two new postulates: a weighted version of Lehrer’s “2-efficiency axiom” [4] and a generalized “null player out” property studied in terms of symmetric games by Derks and Haller [2].
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Received: December 1997/final version: October 1999
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Nowak, A., Radzik, T. An alternative characterization of the weighted Banzhaf value. Game Theory 29, 127–132 (2000). https://doi.org/10.1007/s001829900027
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DOI: https://doi.org/10.1007/s001829900027