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Title:
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Nodes of directed graphs ranked by solutions defined on cooperative games
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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 III; Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II; Universitat Politècnica de Catalunya. GRTJ - Grup de Recerca en Teoria de Jocs |
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Abstract:
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Hierarchical structures, transportation systems, communication networks and
even sports competitions can be modeled by means of directed graphs. Since
digraphs without a predefined game are considered, the main part of the work is
devoted to establish conditions on cooperative games so that they can be used
to measure accessibility to the nodes. 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 for every ordered coalition. Solutions here proposed
are extensions of the wide family of semivalues to games in generalized characteristic
function form. |
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Subject(s):
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-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 |
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Rights:
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Document type:
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Article - Published version
Conference Object |
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