Metrizable preferences over preferences

Basit Öğe Kaydı
dc.authoridLAINE, Jean/0000-0002-7305-7556
dc.contributor.authorLaffond, Gilbert
dc.contributor.authorLaine, Jean
dc.contributor.authorSanver, M. Remzi
dc.date.accessioned2024-07-18T20:40:36Z
dc.date.available2024-07-18T20:40:36Z
dc.date.issued2020
dc.departmentİstanbul Bilgi Üniversitesien_US
dc.description.abstractA hyper-preference is a weak order over all linear orders defined over a finite set A of alternatives. An extension rule associates with each linear order p over A a hyper-preference. The well-known Kemeny extension rule ranks all linear orders over A according to their Kemeny distance to p. More generally, an extension rule is metrizable iff it extends p to a hyper-preference consistent with a distance criterion. We characterize the class of metrizable extension rules by means of two properties, namely self-consistency and acyclicity across orders. Moreover, we provide a characterization of neutral and metrizable extension rules, based on a simpler formulation of acyclicity across orders. Furthermore, we establish the logical incompatibility between neutrality, metrizability and strictness. However, we show that these three conditions are pairwise logically compatible.en_US
dc.description.sponsorshipCoCoRICoCoDEC [ANR-14-CE24-0007-01]; project IDEX [ANR-10-IDEX-0001-02 PSL MIFID]; PICS CNRS exchange programmeen_US
dc.description.sponsorshipThis project has been supported by the ANR-14-CE24-0007-01 (CoCoRICoCoDEC), the project IDEX ANR-10-IDEX-0001-02 PSL MIFID and the PICS CNRS exchange programme. We thank Goksel Asan, Onur Dogan and Dominik Peters for useful discussions.en_US
dc.identifier.doi10.1007/s00355-019-01235-0
dc.identifier.endpage191en_US
dc.identifier.issn0176-1714
dc.identifier.issn1432-217X
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85077599357en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage177en_US
dc.identifier.urihttps://doi.org/10.1007/s00355-019-01235-0
dc.identifier.urihttps://hdl.handle.net/11411/7130
dc.identifier.volume55en_US
dc.identifier.wosWOS:000505348500002en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofSocial Choice and Welfareen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectMeasuring Consensusen_US
dc.subjectAggregationen_US
dc.subjectDistanceen_US
dc.subjectConcordanceen_US
dc.subjectSpearmanen_US
dc.subjectRankingen_US
dc.subjectProofen_US
dc.titleMetrizable preferences over preferencesen_US
dc.typeArticleen_US

Dosyalar

Koleksiyon

Web of Science Indexed Publications
Scopus Indexed Publications