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dc.contributor.authorDekel, Eddieen
dc.contributor.authorFudenberg, Drewen
dc.contributor.authorMorris, Stephenen
dc.date.accessioned2010-05-14T10:18:35Z-
dc.date.available2010-05-14T10:18:35Z-
dc.date.issued2006-
dc.identifier.urihttp://hdl.handle.net/10419/31200-
dc.description.abstractWe de.ne and analyze a strategic topology on types in the Harsanyi-Mertens-Zamir universal type space, where two types are close if their strategic behavior is similar in all strategic situations. For a .xed game and action de.ne the distance be-tween a pair of types as the diþerence between the smallest for which the action is interim correlated rationalizable. We de.ne a strategic topology in which a sequence of types converges if and only if this distance tends to zero for any action and game. Thus a sequence of types converges in the strategic topology if that smallest does not jump either up or down in the limit. As applied to sequences, the upper-semicontinuity prop-erty is equivalent to convergence in the product topology, but the lower-semicontinuity property is a strictly stronger requirement, as shown by the electronic mail game. In the strategic topology, the set of .nite types (types describable by .nite type spaces) is dense but the set of .nite common-prior types is not.en
dc.language.isoengen
dc.publisher|aNorthwestern University, Kellogg School of Management, Center for Mathematical Studies in Economics and Management Science |cEvanston, ILen
dc.relation.ispartofseries|aDiscussion Paper |x1417en
dc.subject.jelC70en
dc.subject.jelC72en
dc.subject.ddc330en
dc.subject.keywordrationalizabilityen
dc.subject.keywordincomplete informationen
dc.subject.keywordcommon knowledgeen
dc.subject.keyworduniversal type spaceen
dc.subject.keywordstrategic topology.en
dc.subject.stwSpieltheorieen
dc.subject.stwNichtkooperatives Spielen
dc.subject.stwUnvollkommene Informationen
dc.titleTopologies on types-
dc.typeWorking Paperen
dc.identifier.ppn587462531en
dc.rightshttp://www.econstor.eu/dspace/Nutzungsbedingungenen
dc.identifier.repecRePEc:nwu:cmsems:1417en

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