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Nodes of directed graphs ranked by solutions defined on cooperative games
Amer Ramon, Rafael; Giménez Pradales, José Miguel; Magaña Nieto, Antonio
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II
Hierarchical structures, transportation systems, communication networks andeven sports competitions can be modeled by means of directed graphs. Sincedigraphs without a predefined game are considered, the main part of the work isdevoted to establish conditions on cooperative games so that they can be usedto measure accessibility to the nodes. Games that satisfy desirable propertiesare called test games. Each ranking on the nodes is then obtained accordingto a pair formed by a test game and a solution defined on cooperative gameswhose utilities are given for every ordered coalition. Solutions here proposedare extensions of the wide family of semivalues to games in generalized characteristicfunction form.
Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Teoria de jocs
Game theory
Jocs, Teoria de
Classificació AMS::15 Linear and multilinear algebra; matrix theory
Classificació AMS::91 Game theory, economics, social and behavioral sciences::91A Game theory
Open Access
Conference Object

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