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Monotonicity of "Ranking by Choosing": A progress report

dc.contributor.authorBouyssou, Denis
HAL ID: 182535
ORCID: 0000-0003-3487-8498
dc.date.accessioned2010-01-12T14:27:38Z
dc.date.available2010-01-12T14:27:38Z
dc.date.issued2004
dc.identifier.issn0176-1714
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/2903
dc.language.isoenen
dc.subjectmonotonicity problems
dc.subject.ddc003en
dc.titleMonotonicity of "Ranking by Choosing": A progress report
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenProcedures designed to select alternatives on the basis of the results of pairwise contests between them have received much attention in literature. The particular case of tournaments has been studied in depth. More recently weak tournaments and valued generalizations thereof have been investigated.The purpose of this paper is to investigate to what extent these choice procedures may be meaningfully used to define ranking procedures via their repeated use, i.e. when the equivalence classes of the ranking are determined by successive applications of the choice procedure. This is what we call ldquoranking by choosingrdquo. As could be expected, such ranking procedures raise monotonicity problems. We analyze these problems and show that it is nevertheless possible to isolate a large class of well-behaved choice procedures for which failures of monotonicity are not overly serious. The hope of finding really attractive ranking by choosing procedures is however shown to be limited. Our results are illustrated on the case of tournaments.
dc.relation.isversionofjnlnameSocial Choice and Welfare
dc.relation.isversionofjnlvol23
dc.relation.isversionofjnlissue2
dc.relation.isversionofjnldate2004
dc.relation.isversionofjnlpages249-273
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/s00355-003-0250-x
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherSpringer
dc.subject.ddclabelRecherche opérationnelleen
dc.description.ssrncandidatenon
dc.description.halcandidateoui
dc.description.readershiprecherche
dc.description.audienceInternational
dc.relation.Isversionofjnlpeerreviewedoui
dc.date.updated2017-06-28T14:09:20Z


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