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Separability by semivalues modified for games with coalition structure
Amer Ramon, Rafael; Giménez Pradales, José Miguel
Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. GRTJ - Grup de Recerca en Teoria de Jocs
The original publication is available at www.rairo-ro.org
Two games are inseparable by semivalues if both games obtain the same allocation whatever semivalue is considered. The problem of separability by semivalues reduces to separability from the null game. For four or more players, the vector subspace of games inseparable from the null game by semivalues contains games different to zero-game. Now, for five or more players, the consideration of a priori coalition blocks in the player set allows us to reduce in a significant way the dimension of the vector subspace of games inseparable from the null game. For these subspaces we provide basis formed by games of a particular type.
Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Teoria de jocs
Game theory
Cooperative games (Mathematics)
Cooperative games
Semivalue
Semivalue modified for games with coalition structure
Separability
Multilinear extension
Jocs, Teoria de
Jocs cooperatius (Matemàtica)
Classificació AMS::91 Game theory, economics, social and behavioral sciences::91A Game theory
info:eu-repo/semantics/publishedVersion
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