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Title:
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Computation of several power indices by generating functions
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Author:
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Alonso Meijide, José María; Freixas Bosch, Josep; Molinero Albareda, Xavier
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Universitat Politècnica de Catalunya. GRTJ - Grup de Recerca en Teoria de Jocs; Universitat Politècnica de Catalunya. ALBCOM - Algorismia, Bioinformàtica, Complexitat i Mètodes Formals |
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Abstract:
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In this paper we propose methods to compute the Deegan-Packel, the Public
Good, and the Shift power indices by generating functions for the particular
case of weighted voting games. Furthermore, we define a new power index
which combines the ideas of the Shift and the Deegan-Packel power indices and
also propose a method to compute it with generating functions. We conclude
by some comments about the complexity to compute these power indices. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Teoria de jocs
-Simple games, Weighted voting games, Power indices, Generating functions
-Game theory
-Jocs, Teoria de
-Classificació AMS::91 Game theory, economics, social and behavioral sciences |
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Rights:
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Document type:
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Article - Submitted version
Article |
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