Coalitional multinomial probabilistic values
We introduce a new family of coalitional values designed to take into account players’ attitudes with regard to cooperation. This new family of values applies to cooperative games with a coalition structure by combining the Shapley value and the multinomial probabilistic values, thus generalizing th...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/27632 |
| Acceso en línea: | https://hdl.handle.net/2117/27632 https://dx.doi.org/10.1016/j.ejor.2015.02.017 |
| Access Level: | acceso abierto |
| Palabra clave: | Cooperative games (Mathematics) Cooperative game Shapley value Multinomial probabilistic value Coalition structure Multilinear extension Jocs cooperatius (Matemàtica) Classificació AMS::91 Game theory, economics, social and behavioral sciences::91A Game theory Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Teoria de jocs |
| Sumario: | We introduce a new family of coalitional values designed to take into account players’ attitudes with regard to cooperation. This new family of values applies to cooperative games with a coalition structure by combining the Shapley value and the multinomial probabilistic values, thus generalizing the symmetric coalitional binomial semivalues. Besides an axiomatic characterization, a computational procedure is provided in terms of the multilinear extension of the game and an application to the Catalonia Parliament, Legislature 2003–2007, is shown. |
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