Condorcet choice and the Ostrogorski paradox

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dc.authoridLAINE, Jean/0000-0002-7305-7556
dc.contributor.authorLaffond, Gilbert
dc.contributor.authorLaine, Jean
dc.date.accessioned2024-07-18T20:40:28Z
dc.date.available2024-07-18T20:40:28Z
dc.date.issued2009
dc.departmentİstanbul Bilgi Üniversitesien_US
dc.description.abstractThe Ostrogorski paradox refers to the fact that, facing finitely many dichotomous issues, choosing issue-wise according to the majority rule may lead to a majority defeated overall outcome. This paper investigates the possibility for a similar paradox to occur under alternative specifications of the collective preference relation. The generalized Ostrogorski paradox occurs when the issue-wise majority rule leads to an outcome which is not maximal according to some binary relation phi defined over pairs of alternatives. We focus on three possible definitions of phi, whose sets of maximal elements are respectively the Uncovered Set, the Top-Cycle, and the Pareto Set. We prove that a generalized paradox may prevail for the Uncovered Set. Moreover, it may be avoided for the same issue-wise majority margins as for the Ostrogorski paradox. However, the issue-wise majority rule always selects a Pareto-optimal alternative in the Top-Cycle.en_US
dc.identifier.doi10.1007/s00355-008-0325-9
dc.identifier.endpage333en_US
dc.identifier.issn0176-1714
dc.identifier.issn1432-217X
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-58149528351en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage317en_US
dc.identifier.urihttps://doi.org/10.1007/s00355-008-0325-9
dc.identifier.urihttps://hdl.handle.net/11411/7122
dc.identifier.volume32en_US
dc.identifier.wosWOS:000262414500009en_US
dc.identifier.wosqualityQ3en_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.subjectMultiple Electionsen_US
dc.subjectAggregating Setsen_US
dc.subjectAnscombe Paradoxen_US
dc.subjectMajorityen_US
dc.subjectCorrespondencesen_US
dc.subjectTournamentsen_US
dc.subjectPreferencesen_US
dc.subjectCommitteesen_US
dc.subjectJudgmentsen_US
dc.titleCondorcet choice and the Ostrogorski paradox
dc.typeArticle

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