Title:
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Coalitional multinomial probabilistic values
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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 |
Abstract:
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We introduce a new family of coalitional values designed to take into account players’ attitudes with regard to cooperation. This new family of values applies to cooperative games with a coalition structure by combining the Shapley value and the multinomial probabilistic values, thus generalizing the symmetric coalitional binomial semivalues. Besides an axiomatic characterization, a computational procedure is provided in terms of the multilinear extension of the game and an application to the Catalonia Parliament, Legislature 2003–2007, is shown. |
Abstract:
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Peer Reviewed |
Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Teoria de jocs -Cooperative games (Mathematics) -Cooperative game -Shapley value -Multinomial probabilistic value -Coalition structure -Multilinear extension -Jocs cooperatius (Matemàtica) -Classificació AMS::91 Game theory, economics, social and behavioral sciences::91A Game theory |
Rights:
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Document type:
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Article - Submitted version Article |
Published by:
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Elsevier
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