Title:
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Reconstructing a simple game from a uniparametric family of allocations
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Author:
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Amer Ramon, Rafael; Giménez Pradales, José Miguel; Magaña Nieto, Antonio
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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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Several relationships between simple games and a particular type of solu-
tions for cooperative games are studied in this paper. These solutions belong to the
set of semivalues and they are related to a unique parameter that explicitly provides
their weighting coefficients. Through the allocations offered by this family of solu-
tions, so-called binomial semivalues, and also from their respective potentials, some
characteristics of the simple games can be recovered. The paper analyzes the capacity
of binomial semivalues to summarize the structure of simple games, and, moreover,
a property of separation among simple games is given. |
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 -Game theory -Banzhaf value -Game theory -Potential -Semivalue -Simple game -Jocs, Teoria de -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 - Published version Article |
Published by:
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Springer
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