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Title:
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Semivalues: weighting coefficients and allocations on unanimity games
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Author:
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Domènech Blázquez, Margarita; Giménez Pradales, José Miguel; Puente del Campo, María Albina
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. GRTJ - Grup de Recerca en Teoria de Jocs |
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Abstract:
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This is a post-peer-review, pre-copyedit version of an article published in [insert journal title]. The final authenticated version is available online at: http://dx.doi.org/10.1007/s11590-017-1224-8. |
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Abstract:
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Each semivalue, as a solution concept defined on cooperative games with a finite set of players, is univocally determined by weighting coefficients that apply to players’ marginal contributions. Taking into account that a semivalue induces semivalues on lower cardinalities, we prove that its weighting coefficients can be reconstructed from the last weighting coefficients of its induced semivalues. Moreover, we provide the conditions of a sequence of numbers in order to be the family of the last coefficients of any induced semivalues. As a consequence of this fact, we give two characterizations of each semivalue defined on cooperative games with a finite set of players: one, among all semivalues; another, among all solution concepts on cooperative games. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Teoria de jocs
-Cooperative games (Mathematics)
-Semivalue
-Weighting coefficient
-Induced semivalue
-Unanimity game
-Axiomatization
-Jocs cooperatius (Matemàtica)
-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 - Submitted version
Article |
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