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dc.contributor.authorChen, Yi-Chunen_US
dc.contributor.authorXiong, Siyangen_US
dc.description.abstractFor diĆ¾erent purposes, economists may use diĆ¾erent topologies on types. We characterize the relationship among these various topologies. First, we show that for any general types, convergence in the uniform-weak topology implies convergence in both the strategic topology and the uniform strategic topology. Second, we explicitly construct a type which is not the limit of any .nite types under the uniform strategic topology, showing that the uniform strategic topology is strictly .ner than the strategic topology. With these results, we can linearly rank various topologies on the universal type space, which gives a clear picture of the relationship between the implication of types for beliefs and their implication for behaviors.en_US
dc.publisherNorthwestern Univ., Kellogg Graduate School of Management, Center for Mathematical Studies in Economics and Management Science Evanstonen_US
dc.relation.ispartofseriesDiscussion paper // Center for Mathematical Studies in Economics and Management Science 1470en_US
dc.subject.keywordthe universal type spaceen_US
dc.subject.keywordthe strategic topologyen_US
dc.subject.keywordthe uniform strategic topologyen_US
dc.subject.keywordthe uniform-weak topologyen_US
dc.subject.keywordinterim correlated rationalizable actionsen_US
dc.titleTopologies on types: connectionsen_US
dc.typeWorking Paperen_US
Appears in Collections:Discussion Papers, Kellogg School of Management, Northwestern University

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