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Ranking objects from a preference relation over their subsets

hal.structure.identifier
hal.structure.identifierDipartimento di Matematica [Pisa]
dc.contributor.authorBernardi, Giulia
hal.structure.identifier
dc.contributor.authorLucchetti, Roberto
hal.structure.identifierLaboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
dc.contributor.authorMoretti, Stefano
HAL ID: 739814
ORCID: 0000-0003-3627-3257
dc.date.accessioned2019-07-23T10:41:46Z
dc.date.available2019-07-23T10:41:46Z
dc.date.issued2019
dc.identifier.issn0176-1714
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/19345
dc.language.isoenen
dc.subjectRankingen
dc.subject.ddc511en
dc.titleRanking objects from a preference relation over their subsetsen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenIn many everyday situations, we need to rank individuals or single items having the possibility to observe the behavior of groups. In this paper we propose a way to get this ranking over the elements of a set X, starting from an arbitrary preference relation over the subsets of X and taking into account the information provided by this ranking over the subsets. To this purpose, we use a very common approach in the social choice framework: we single out some properties that a general solution should satisfy, and we prove that these properties characterize a unique solution. Given the generality of the approach, we believe that this paper is only a starting point for a more extended analysis. In particular, it is clear that different contexts can suggest other properties, thus identifying alternative ranking methods.en
dc.relation.isversionofjnlnameSocial Choice and Welfare
dc.relation.isversionofjnlvol52en
dc.relation.isversionofjnlissue4en
dc.relation.isversionofjnldate2019-04
dc.relation.isversionofjnlpages589-606en
dc.relation.isversionofdoi10.1007/s00355-018-1161-1en
dc.relation.isversionofjnlpublisherSpringeren
dc.subject.ddclabelPrincipes généraux des mathématiquesen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen
dc.description.ssrncandidatenonen
dc.description.halcandidateouien
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.relation.Isversionofjnlpeerreviewedouien
dc.relation.Isversionofjnlpeerreviewedouien
dc.date.updated2019-07-16T12:57:49Z
hal.identifierhal-02191137*
hal.version1*
hal.author.functionaut
hal.author.functionaut
hal.author.functionaut


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