Nash implementation via hyperfunctions

dc.authorwosidSanver, M. Remzi/G-2339-2019
dc.contributor.authorOzkal-Sanver, Ipek
dc.contributor.authorSanver, M. Remzi
dc.date.accessioned2024-07-18T20:40:27Z
dc.date.available2024-07-18T20:40:27Z
dc.date.issued2006
dc.departmentİstanbul Bilgi Üniversitesien_US
dc.description.abstractHyperfunctions are social choice rules which assign sets of alternatives to preference profiles over sets. Therefore, they are more general objects compared to standard (social choice) correspondences. In fact, every correspondence can be expressed in terms of an equivalent hyperfunction. We give a partial characterization of Nash-implementable hyperfunctions and explore the conditions under which correspondences have Nash-implementable equivalent hyperfunctions. While the strength of these conditions depends on the axioms used to extend preferences over alternatives to sets, they are at most as strong as the conjunction of Maskin monotonicity with the no veto power condition. Thus, our approach expands the set of Nash-implementable social choice rules. In fact, social choice rules such as the majority rule and the top cycle are Nash-implementable through their equivalent hyperfunctions, while they are not Maskin-monotonic, and thus, not Nash-implementable in the standard framework.en_US
dc.identifier.doi10.1007/s00355-006-0088-0
dc.identifier.endpage623en_US
dc.identifier.issn0176-1714
dc.identifier.issn1432-217X
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-33745465129en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage607en_US
dc.identifier.urihttps://doi.org/10.1007/s00355-006-0088-0
dc.identifier.urihttps://hdl.handle.net/11411/7116
dc.identifier.volume26en_US
dc.identifier.wosWOS:000238524100012en_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.subjectSocial Choice Functionsen_US
dc.subjectCorrespondencesen_US
dc.subjectEquilibriumen_US
dc.titleNash implementation via hyperfunctionsen_US
dc.typeArticleen_US

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