Technical note: Characterization of binomial semivalues through delegation games |
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| Authors: | Rafael Amer José Miguel Giménez |
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| Institution: | 1. Department of Applied Mathematics II, Industrial Engineering School of Terrassa, Technical University of Catalonia, Colom 11, E‐08222 Terrassa, Spain;2. Department of Applied Mathematics III, Engineering School of Manresa, Technical University of Catalonia, Bases de Manresa 61, E‐08242 Manresa, SpainDepartment of Applied Mathematics III, Engineering School of Manresa, Technical University of Catalonia, Bases de Manresa 61, E‐08242 Manresa, Spain |
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| 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 |
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| Keywords: | cooperative game semivalue binomial semivalue characterization |
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