Topologies on Types

Eddie Dekel (), Drew Fudenberg and Stephen Morris ()

No 2093, Harvard Institute of Economic Research Working Papers from Harvard - Institute of Economic Research

Abstract: We define and analyze "strategic topologies" on types, under which two types are close if their strategic behavior will be similar in all strategic situations. To oper- ationalize this idea, we adopt interim rationalizability as our solution concept, and define a metric topology on types in the Harsanyi-Mertens-Zamir universal type space. This topology is the coarsest metric topology generating upper and lower hemiconti- nuity of rationalizable outcomes. While upper strategic convergence is equivalent to convergence in the product topology, lower strategic convergence is a strictly stronger requirement, as shown by the electronic mail game. Nonetheless, we show that the set of "finite types" (types describable by finite type spaces) are dense in the lower strategic topology.

Date: 2005

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Working Paper: Topologies on Type (2006)
Working Paper: Topologies on Types (2005)
Journal Article: Topologies on types (2006)
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Persistent link: http://EconPapers.repec.org/RePEc:fth:harver:2093

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