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Technical note: Characterization of binomial semivalues through delegation games

Rafael Amer and José Miguel Giménez

Naval Research Logistics (NRL), 2007, vol. 54, issue 6, 702-708

Abstract: Semivalues are allocation rules for cooperative games that assign to each player in a given game a weighted sum of his marginal contributions to all coalitions he belongs to, where the weighting coefficients depend only on the coalition size. Binomial semivalues are a special class of semivalues whose weighting coefficients are obtained by means of a unique parameter. In particular, the Banzhaf value is a binomial semivalue. In this article, we provide an axiomatic characterization for each binomial semivalue. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007

Date: 2007
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https://doi.org/10.1002/nav.20238

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