Title:
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Bisemivalues, binomial bisemivalues and multilinear extension for bicooperative 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 Matemàtica Aplicada III; Universitat Politècnica de Catalunya. GRTJ - Grup de Recerca en Teoria de Jocs |
Abstract:
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We introduce bisemivalues for bicooperative games and we also provide an interesting characterization of this kind of values by means of weighting coefficients in a similar way than given for semivalues in the context of cooperative games. Moreover, the notion of induced bisemivalues on lower cardinalities also makes sense and an adaptation of Dragan’s recurrence formula is obtained. Besides its characterization, a computational procedure in terms of the multilinear extension of the game is given. |
Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Teoria de jocs -Cooperative games (Mathematics) -Multilinear algebra -Cooperative game -Semivalues -Bicooperative games -Bisemivalues -Jocs cooperatius (Matemàtica) -Àlgebra multilineal -Classificació AMS::91 Game theory, economics, social and behavioral sciences::91A Game theory |
Rights:
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Document type:
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Article - Draft Report |
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