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Title:
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Voting games with abstention: linking completeness and weightedness
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Author:
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Freixas Bosch, Josep; Tchantcho, Bertrand; Tedjeugang, Narcisse
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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 |
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Abstract:
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Weighted games for several levels of approval in input and output were introduced in [9]. An extension of the desirability relation for simple games, called the influence relation, was introduced for games with several levels of approval in input in [24] (see also [18]). However, there are weighted games not being complete for the influence relation, something different to what occurs for simple games. In this paper we introduce several extensions of the desirability relation for simple games and from the completeness of them it follows the consistent link with weighted games, which solves the existing gap. Moreover, we prove that the influence relation is consistent with a known subclass of weighted games: strongly weighted games. (C) 2013 Elsevier B.V. All rights reserved. |
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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
-Decision making -- Mathematical models
-Voting -- Mathematical models
-Voting -- Abstention
-Decision making process
-Voting systems in democratic organizations
-Multiple levels of approval
-Weightedness and completeness
-Desirability relations
-Approval
-Power
-Representation
-Systems
-Output
-Input
-Decisió, Presa de -- Models matemàtics
-Vot -- Models matemàtics
-Abstencionisme electoral
-Classificació AMS::91 Game theory, economics, social and behavioral sciences::91A Game theory
-Classificació AMS::05 Combinatorics::05C Graph theory
-Classificació AMS::94 Information And Communication, Circuits::94C Circuits, networks
-Classificació AMS::90 Operations research, mathematical programming::90B Operations research and management science |
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Rights:
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Document type:
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Article - Submitted version
Article |
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