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Title:
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Cooperation tendencies and evaluation of games
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Author:
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Carreras Escobar, Francisco; Puente del Campo, María Albina
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II; 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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Multinomial probabilistic values were first introduced by one of us in reliability and later on by the other,
independently, as power indices. Here we study them on cooperative games from several viewpoints, and especially
as a powerful generalization of binomial semivalues. We establish a dimensional comparison between
multinomial values and binomial semivalues and provide two characterizations within the class of probabilistic
values: one for each multinomial value and another for the whole family. An example illustrates their use
in practice as power indices. |
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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
-Cooperative games (Mathematics)
-Shapley value
-Probabilistic value
-Binomial semivalue
-Jocs, Teoria de
-Jocs cooperatius (Matemàtica)
-Classificació AMS::91 Game theory, economics, social and behavioral sciences::91A Game theory |
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Rights:
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Document type:
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Article - Published version
Conference Object |
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Published by:
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SciTePress
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