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Accessibility measures to nodes of directed graphs using solutions for generalized 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; Universitat Politècnica de Catalunya. GRTJ - Grup de Recerca en Teoria de Jocs
The aim of this paper consists of constructing accessibility measures to the nodes of directed graphs using methods of Game Theory. Since digraphs without a predefined game are considered, the main part of the paper is devoted to establish conditions on cooperative games so that they can be used to measure accessibility. Games that satisfy desirable properties are called test games. Each ranking on the nodes is then obtained according to a pair formed by a test game and a solution defined on cooperative games whose utilities are given on ordered coalitions. The solutions proposed here are extensions of the wide family of semivalues to games in generalized characteristic function form.
Peer Reviewed
Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Teoria de jocs
Game theory
Game theory
Digraph
Accessibility
Cooperative game
Semivalue
Jocs, Teoria de
Classificació AMS::91 Game theory, economics, social and behavioral sciences::91A Game theory
info:eu-repo/semantics/publishedVersion
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