A direct proof of the Gale–Nikaido–Debreu lemma using Sperner’s lemma

dc.citation.epage1080en_US
dc.citation.issueNumber3en_US
dc.citation.spage1072en_US
dc.citation.volumeNumber194en_US
dc.contributor.authorLe, T.
dc.contributor.authorLe Van, C.
dc.contributor.authorPham, N.-S.
dc.contributor.authorSağlam, Çağrı
dc.contributor.bilkentauthorSağlam, Çağrı
dc.date.accessioned2023-02-21T11:14:39Z
dc.date.available2023-02-21T11:14:39Z
dc.date.issued2022-09
dc.departmentDepartment of Economicsen_US
dc.description.abstractThe Gale–Nikaido–Debreu lemma plays an important role in establishing the existence of competitive equilibrium. In this paper, we use Sperner’s lemma and basic elements of topology to prove the Gale–Nikaido–Debreu lemma.en_US
dc.identifier.doi10.1007/s10957-022-02067-2en_US
dc.identifier.issn0022-3239
dc.identifier.urihttp://hdl.handle.net/11693/111580
dc.language.isoEnglishen_US
dc.publisherSpringeren_US
dc.relation.isversionofhttps://doi.org/https://doi.org/10.1007/s10957-022-02067-2en_US
dc.source.titleJournal of Optimization Theory and Applicationsen_US
dc.subjectFixed point theoremen_US
dc.subjectGale–Nikaido–Debreu lemmaen_US
dc.subjectGeneral equilibriumen_US
dc.subjectSimplexen_US
dc.subjectSperner lemmaen_US
dc.subjectSubdivisionen_US
dc.titleA direct proof of the Gale–Nikaido–Debreu lemma using Sperner’s lemmaen_US
dc.typeArticleen_US
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