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Title:
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On alpha-roughly weighted games
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Author:
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Freixas Bosch, Josep; Kurz, Sascha
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. GRTJ - Grup de Recerca en Teoria de Jocs |
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Abstract:
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Very recently Gvozdeva, Hemaspaandra, and Slinko (2011) h
ave introduced three hierarchies for simple games in order to measure the distance of a given simple game to the class of weighted voting games or roughly weighted voting games. Their third class C aconsists of all simple games
permitting a weighted representation such that each winnin
g coalition has a weight of at least 1 and each losing coalition a weight of at most a. We continue their work and contribute some new results on the possible values of a for a given number of voters. |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Teoria de jocs
-Game theory
-Voting--Mathematical models
-Simple game
-Weighted majority game
-Complete simple game
-Roughly weighted game
-Voting theory
-Hierarchy
-Jocs, Teoria de
-Vot -- Models matemàtics
-Classificació AMS::91 Game theory, economics, social and behavioral sciences::91B Mathematical economics
-Classificació AMS::91 Game theory, economics, social and behavioral sciences::91C Social and behavioral sciences: general topics |
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Rights:
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Document type:
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Article - Draft
Report |
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