Bisemivalues, binomial bisemivalues and multilinear extension for bicooperative games
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 cardin...
| Autores: | , , |
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| Formato: | informe técnico |
| Fecha de publicación: | 2015 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/78354 |
| Acesso em linha: | https://hdl.handle.net/2117/78354 |
| Access Level: | acceso abierto |
| Palavra-chave: | 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 Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Teoria de jocs |
| Resumo: | 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. |
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