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Title:
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Some properties for probabilistic and multinomial (probabilistic) values on cooperative 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 an Accepted Manuscript of an article published by Taylor & Francis in Optimization on 18-02-2016, available online: http://www.tandfonline.com/10.1080/02331934.2016.1147035. |
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Abstract:
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We investigate the conditions for the coefficients of probabilistic and multinomial values of cooperative games necessary and/or sufficient in order to satisfy some properties, including marginal contributions, balanced contributions, desirability relation and null player exclusion property. Moreover, a similar analysis is conducted for transfer property of probabilistic power indices on the domain of simple 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
-Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Teoria de jocs
-Cooperative games (Mathematics)
-TU cooperative game
-Probabilistic value
-Multinomial value
-Semivalues
-Regularity
-Deciseness
-Index
-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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