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dc.creatorBosi, Giannies_ES
dc.creatorEstevan Muguerza, Asieres_ES
dc.creatorRaventós Pujol, Armajaces_ES
dc.date.accessioned2020-05-29T07:13:39Z
dc.date.issued2020
dc.identifier.issn0040-5833
dc.identifier.urihttps://hdl.handle.net/2454/36990
dc.description.abstractThe present paper gives a topological solution to representability problems related to multi-utility, in the field of Decision Theory. Necessary and sufficient topologies for the existence of a semicontinuous and finite Richter–Peleg multi-utility for a preorder are studied. It is well known that, given a preorder on a topological space, if there is a lower (upper) semicontinuous Richter–Peleg multi-utility, then the topology of the space must be finer than the Upper (resp. Lower) topology. However, this condition fails to be sufficient. Instead of search for properties that must be satisfied by the preorder, we study finer topologies which are necessary or/and sufficient for the existence of semicontinuous representations. We prove that Scott topology must be contained in the topology of the space in case there exists a finite lower semicontinuous Richter–Peleg multi-utility. However, the existence of this representation cannot be guaranteed. A sufficient condition is given by means of Alexandroff’s topology, for that, we prove that more order implies less Alexandroff’s topology, as well as the converse. Finally, the paper is implemented with a topological study of the maximal elements.en
dc.description.sponsorshipAsier Estevan acknowledges financial support from the Ministry of Economy and Competitiveness of Spain under Grants MTM2015-63608-P and ECO2015-65031. Gianni Bosi acknowledges financial support from the Istituto Nazionale di Alta Matematica 'F. Severi' (Italy). Armajac Raventos acknowledges financial support from the Ministry of Economy and Competitiveness of Spain under Grant ECO2015-65031.en
dc.format.extent22 p.
dc.format.mimetypeapplication/pdfen
dc.language.isoengen
dc.publisherSpringeren
dc.relation.ispartofTheory and Decision, 2020, 88, 457-470en
dc.rights© Springer Science+Business Media, LLC, part of Springer Nature 2019en
dc.subjectPreordersen
dc.subjectMulti-utility theoryen
dc.subjectRichter–Pelegen
dc.subjectSemicontinuityen
dc.titleTopologies for semicontinuous Richter–Peleg multi-utilitiesen
dc.typeinfo:eu-repo/semantics/articleen
dc.typeArtículo / Artikuluaes
dc.contributor.departmentUniversidad Pública de Navarra. Departamento de Estadística, Informática y Matemáticases_ES
dc.contributor.departmentNafarroako Unibertsitate Publikoa. Estatistika, Informatika eta Matematika Sailaeu
dc.contributor.departmentUniversidad Pública de Navarra / Nafarroako Unibertsitate Publikoa. InaMat - Institute for Advanced Materialses_ES
dc.contributor.departmentUniversidad Pública de Navarra / Nafarroako Unibertsitate Publikoa. Inarbe - Institute for Advanced Research in Business and Economicses_ES
dc.rights.accessRightsinfo:eu-repo/semantics/embargoedAccessen
dc.rights.accessRightsAcceso embargado / Sarbidea bahitua dagoes
dc.embargo.lift2020-11-12
dc.embargo.terms2020-11-12
dc.identifier.doi10.1007/s11238-019-09730-7
dc.relation.projectIDinfo:eu-repo/grantAgreement/ES/1PE/MTM2015-63608-Pen
dc.relation.projectIDinfo:eu-repo/grantAgreement/ES/1PE/ECO2015-65031en
dc.relation.publisherversionhttps://doi.org/10.1007/s11238-019-09730-7
dc.type.versioninfo:eu-repo/semantics/acceptedVersionen
dc.type.versionVersión aceptada / Onetsi den bertsioaes


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