An algorithm for finding the vertices of the k-additive monotone core
| dc.contributor.author | Miranda Menéndez, Pedro | |
| dc.contributor.author | Grabisch, Michel | |
| dc.date.accessioned | 2023-06-20T00:18:05Z | |
| dc.date.available | 2023-06-20T00:18:05Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | Given a capacity, the set of dominating k-additive capacities is a convex polytope called the k-additive monotone core; thus, it is defined by its vertices. In this paper, we deal with the problem of deriving a procedure to obtain such vertices in the line of the results of Shapley and Ichiishi for the additive case. We propose an algorithm to determine the vertices of the n-additive monotone core and we explore the possible translations for the k-additive case. | |
| dc.description.department | Depto. de Estadística e Investigación Operativa | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/16860 | |
| dc.identifier.doi | 10.1016/j.dam.2011.11.013 | |
| dc.identifier.issn | 0166-218X | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0166218X1100463X | |
| dc.identifier.relatedurl | http://www.sciencedirect.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/42356 | |
| dc.issue.number | 4-5 | |
| dc.journal.title | Discrete Applied Mathematics | |
| dc.language.iso | eng | |
| dc.page.final | 639 | |
| dc.page.initial | 628 | |
| dc.publisher | Elsevier | |
| dc.relation.projectID | MTM2007-61193 | |
| dc.relation.projectID | MTM2009-1072 | |
| dc.relation.projectID | BSCH-UCM910707 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 519.83 | |
| dc.subject.keyword | Polyhedra | |
| dc.subject.keyword | Capacities | |
| dc.subject.keyword | k-additivity | |
| dc.subject.keyword | Dominance | |
| dc.subject.keyword | Core | |
| dc.subject.ucm | Teoría de Juegos | |
| dc.subject.unesco | 1207.06 Teoría de Juegos | |
| dc.title | An algorithm for finding the vertices of the k-additive monotone core | |
| dc.type | journal article | |
| dc.volume.number | 160 | |
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| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | d940fcaa-13c3-4bad-8198-1025a668ed71 | |
| relation.isAuthorOfPublication.latestForDiscovery | d940fcaa-13c3-4bad-8198-1025a668ed71 |
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