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The Multilinear Extension and the Symmetric Coalition Banzhaf Value |
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| Authors: | |
| Institution: | 1.Departamento de Estatística e I. O., Facultade de Ciencias,Universidade de Santiago de Compostela,Lugo,Espa?a;2.Departamento de Matemática Aplicada II,Universidad Politécnica de Catalu?a,Terrassa,Espa?a;3.Departamento de Estatística e I. O, Facultade de Ciencias Económicas,Universidade de Vigo,Vigo,Espa?a |
| Abstract: | Alonso-Meijide and Fiestras-Janeiro (2002, Annals of Operations Research 109, 213–227) proposed a modification of the Banzhaf value for games where a coalition structure is given. In this paper we present a method to compute this value by means of the multilinear extension of the game. A real-world numerical example illustrates the application procedure. MSC (2000) Classification: 91A12 |
| Keywords: | coalition structure Banzhaf value coalition value multi-linear extension |
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