dc.creator | Alonso Meijide, José María | es |
dc.creator | Álvarez Mozos, Mikel | es |
dc.creator | Fiestras Janeiro, M. Gloria | es |
dc.creator | Jiménez Losada, Andrés | es |
dc.date.accessioned | 2022-01-28T17:44:13Z | |
dc.date.available | 2022-01-28T17:44:13Z | |
dc.date.issued | 2021-08 | |
dc.identifier.citation | Alonso Meijide, J.M., Álvarez Mozos, M., Fiestras Janeiro, M.G. y Jiménez Losada, A. (2021). Marginality and convexity in partition function form games. Mathematical Methods of Operations Research, 94 (1), 99-121. | |
dc.identifier.issn | ISSN: 1432-2994 | es |
dc.identifier.issn | E-ISSN: 1432-5217 | es |
dc.identifier.uri | https://hdl.handle.net/11441/129422 | |
dc.description.abstract | In this paper an order on the set of embedded coalitions is studied in detail. This allows
us to define new notions of superaddivity and convexity of games in partition function
form which are compared to other proposals in the literature. The main results are
two characterizations of convexity. The first one uses non-decreasing contributions to
coalitions of increasing size and can thus be considered parallel to the classic result
for cooperative games without externalities. The second one is based on the standard
convexity of associated games without externalities that we define using a partition of
the player set. Using the later result, we can conclude that some of the generalizations
of the Shapley value to games in partition function form lie within the cores of specific
classic games when the original game is convex. | es |
dc.description.sponsorship | Unión Europea MTM2017-87197-C3-2-P/ MTM2017-87197-C3-3-P/ PID2020-113110GB-L00/ MTM2017-83455-P | es |
dc.description.sponsorship | Ministerio de Ciencia, Innovación y Universidades – Agencia Estatal de Investigación MTM2017-87197-C3-2-P/ MTM2017-87197-C3-3-P/ PID2020-113110GB-L00/ MTM2017-83455-P | es |
dc.description.sponsorship | Generalitat de Catalunya 2017 SGR-778 | es |
dc.description.sponsorship | Junta de Andalucía FQM237 | es |
dc.description.sponsorship | Xunta de Galicia/FEDER ED431C-2016-040 | es |
dc.description.sponsorship | Xunta de Galicia/FEDER ED431C-2017/38 | es |
dc.format | application/pdf | es |
dc.format.extent | 23 p. | es |
dc.language.iso | eng | es |
dc.publisher | Springer Nature | es |
dc.relation.ispartof | Mathematical Methods of Operations Research, 94 (1), 99-121. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Game theory | es |
dc.subject | Partition function | es |
dc.subject | Partial order | es |
dc.subject | Marginality | es |
dc.subject | Convexity | es |
dc.title | Marginality and convexity in partition function form games | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada II (ETSI) | es |
dc.relation.projectID | MTM2017-87197-C3-2-P | es |
dc.relation.projectID | MTM2017-87197-C3-3-P | es |
dc.relation.projectID | PID2020-113110GB-L00 | es |
dc.relation.projectID | MTM2017-83455-P | es |
dc.relation.projectID | 2017 SGR-778 | es |
dc.relation.projectID | FQM237 | es |
dc.relation.projectID | ED431C-2016-040 | es |
dc.relation.projectID | ED431C-2017/38 | es |
dc.relation.publisherversion | https://doi.org/10.1007/s00186-021-00748-8 | es |
dc.identifier.doi | 10.1007/s00186-021-00748-8 | es |
dc.journaltitle | Mathematical Methods of Operations Research | es |
dc.publication.volumen | 94 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 99 | es |
dc.publication.endPage | 121 | es |
dc.contributor.funder | European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) | es |
dc.contributor.funder | Ministerio de Ciencia, Innovación y Universidades (MICINN). España | es |
dc.contributor.funder | Agencia Estatal de Investigación. España | es |
dc.contributor.funder | Generalitat de Catalunya | es |
dc.contributor.funder | Junta de Andalucía | es |
dc.contributor.funder | Xunta de Galicia | es |