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The Multilinear Extension and the Symmetric Coalition Banzhaf Value
Theory and Decision 59 (2):111-126 (2005)
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 procedureOther Versions
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Citations of this work
Monotonicity of power in games with a priori unions.J. M. Alonso-Meijide, C. Bowles, M. J. Holler & S. Napel - 2009 - Theory and Decision 66 (1):17-37.
References found in this work
Postulates and Paradoxes of Relative Voting Power - A Critical Re-Appraisal.Dan S. Felsenthal - 1995 - Theory and Decision 38 (2):195-229.
Modification of Semivalues for Games with Coalition Structures.Rafael Amer & José Miguel Giménez - 2003 - Theory and Decision 54 (3):185-205.
Theory and decison.R. Amer, S. Bourdet-Loubère, I. Brocas, R. G. Brody, M. H. Broihanne, D. Cardona-Coll, H. W. Chesson, T. Clausing, P. Corcho & J. M. Coulter - 2003 - Theory and Decision 54 (376).
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