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A note on multinomial probabilistic values
| dc.contributor.author | Carreras Escobar, Francisco |
| dc.contributor.author | Puente del Campo, María Albina |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
| dc.date.accessioned | 2017-12-12T12:36:30Z |
| dc.date.available | 2018-12-05T01:30:44Z |
| dc.date.issued | 2018-04 |
| dc.identifier.citation | Carreras, F., Puente, M. A note on multinomial probabilistic values. "TOP", Abril, 2018, vol. 26, núm. 1, p. 164-186 |
| dc.identifier.issn | 1134-5764 |
| dc.identifier.uri | http://hdl.handle.net/2117/111772 |
| dc.description | This is a post-peer-review, pre-copyedit version of an article published in "TOP". The final authenticated version is available online at: https://doi.org/10.1007/s11750-017-0464-1 |
| dc.description.abstract | Multinomial values were previously introduced by one of the authors in reliability and extended later to all cooperative games. Here, we present for this subfamily of probabilistic values three new results, previously stated only for binomial semivalues in the literature. They concern the dimension of the subspace spanned by the multinomial values and two characterizations: one, individual, for each multinomial value; another, collective, for the whole subfamily they form. Finally, an application to simple games is provided |
| dc.language.iso | eng |
| dc.publisher | Springer |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Teoria de jocs |
| dc.subject.lcsh | Game theory |
| dc.subject.lcsh | Cooperative games (Mathematics) |
| dc.subject.other | Game theory |
| dc.subject.other | Cooperative game |
| dc.subject.other | Shapley value |
| dc.subject.other | Probabilistic value |
| dc.subject.other | Binomial semivalue |
| dc.title | A note on multinomial probabilistic values |
| dc.type | Article |
| dc.subject.lemac | Jocs, Teoria de |
| dc.subject.lemac | Jocs cooperatius (Matemàtica) |
| dc.contributor.group | Universitat Politècnica de Catalunya. GRTJ - Grup de Recerca en Teoria de Jocs |
| dc.identifier.doi | 10.1007/s11750-017-0464-1 |
| dc.description.peerreviewed | Peer Reviewed |
| dc.subject.ams | Classificació AMS::91 Game theory, economics, social and behavioral sciences::91A Game theory |
| dc.rights.access | Open Access |
| local.identifier.drac | 21673981 |
| dc.description.version | Postprint (author's final draft) |
| dc.relation.projectid | info:eu-repo/grantAgreement/MINECO//MTM2015-66818-P/ES/ASPECTOS MATEMATICOS, COMPUTACIONALES Y SOCIALES EN CONTEXTOS DE VOTACION Y DE COOPERACION./ |
| local.citation.author | Carreras, F.; Puente, M. |
| local.citation.publicationName | TOP |
| local.citation.volume | 26 |
| local.citation.number | 1 |
| local.citation.startingPage | 164 |
| local.citation.endingPage | 186 |
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