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Reconstructing a simple game from a uniparametric family of allocations
Amer Ramon, Rafael; Giménez Pradales, José Miguel; Magaña Nieto, Antonio
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
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.
Peer Reviewed
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
info:eu-repo/semantics/publishedVersion
Artículo
Springer
         

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