Uniform topologies on types

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dc.contributor.authorChen, Yi-Chun
dc.contributor.authorDi Tillio, Alfredo
dc.contributor.authorEDUARDO FAINGOLD
dc.contributor.authorXiong, Siyang
dc.coverage.paisNão Informadopt_BR
dc.creatorChen, Yi-Chun
dc.creatorDi Tillio, Alfredo
dc.creatorXiong, Siyang
dc.date.accessioned2022-12-10T15:03:38Z
dc.date.available2022-12-10T15:03:38Z
dc.date.issued2010
dc.description.notesTexto completopt_BR
dc.description.otherWe study the robustness of interim correlated rationalizability to perturbations of higher-order beliefs. We introduce a new metric topology on the universal type space, called uniform weak topology, under which two types are close if they have similar first-order beliefs, attach similar probabilities to other players having similar first-order beliefs, and so on, where the degree of similarity is uniform over the levels of the belief hierarchy. This topology generalizes the now classic notion of proximity to common knowledge based on common p-beliefs (Monderer and Samet 1989). We show that convergence in the uniform weak topology implies convergence in the uniform strategic topology (Dekel, Fudenberg, and Morris 2006). Moreover, when the limit is a finite type, uniform-weak convergence is also a necessary condition for convergence in the strategic topology. Finally, we show that the set of finite types is nowhere dense under the uniform strategic topology. Thus, our results shed light on the connection between similarity of beliefs and similarity of behaviors in games.pt_BR
dc.format.extentp. 445-478pt_BR
dc.format.mediumDigitalpt_BR
dc.identifier.issue3pt_BR
dc.identifier.urihttps://repositorio.insper.edu.br/handle/11224/4878
dc.identifier.volume5pt_BR
dc.language.isoInglêspt_BR
dc.publisherNão informadopt_BR
dc.relation.ispartofTheoretical Economicspt_BR
dc.rights.licenseO INSPER E ESTE REPOSITÓRIO NÃO DETÊM OS DIREITOS DE USO E REPRODUÇÃO DOS CONTEÚDOS AQUI REGISTRADOS. É RESPONSABILIDADE DOS USUÁRIOS INDIVIDUAIS VERIFICAR OS USOS PERMITIDOS NA FONTE ORIGINAL, RESPEITANDO-SE OS DIREITOS DE AUTOR OU EDITORpt_BR
dc.subject.keywordsRationalizabilitypt_BR
dc.subject.keywordsIncomplete informationpt_BR
dc.subject.keywordsHigher-order beliefspt_BR
dc.subject.keywordsStrategic topologypt_BR
dc.subject.keywordsElectronic mail gamept_BR
dc.titleUniform topologies on typespt_BR
dc.typejournal article
dspace.entity.typePublication
local.identifier.sourceUrihttps://econtheory.org/ojs/index.php/te/article/viewArticle/20100445
local.subject.cnpqCiências Sociais Aplicadaspt_BR
local.typeArtigo Científicopt_BR
relation.isAuthorOfPublicationaa879647-fa0d-40da-b742-5f1c7c879b4e
relation.isAuthorOfPublication.latestForDiscoveryaa879647-fa0d-40da-b742-5f1c7c879b4e
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