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Title:Topologies on types: connections PDF Logo
Authors:Chen, Yi-Chun
Xiong, Siyang
Issue Date:2008
Series/Report no.:Discussion paper // Center for Mathematical Studies in Economics and Management Science 1470
Abstract:For 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.
Subjects:the universal type space
the strategic topology
the uniform strategic topology
the uniform-weak topology
interim correlated rationalizable actions
JEL:C70
Document Type:Working Paper
Appears in Collections:Discussion Papers, Kellogg School of Management, Northwestern University

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