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
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.economics.harvard.edu/pub/hier/2005/HIER2093.pdf (application/pdf)
Our link check indicates that this URL is bad, the error code is: 404 Not Found (http://www.economics.harvard.edu/pub/hier/2005/HIER2093.pdf [301 Moved Permanently]--> https://www.economics.harvard.edu/pub/hier/2005/HIER2093.pdf)

Related works:
Journal Article: Topologies on types (2006)
Working Paper: Topologies on Types (2006)
Working Paper: Topologies on Type (2006)
Working Paper: Topologies on Types (2005)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:fth:harver:2093

Access Statistics for this paper

More papers in Harvard Institute of Economic Research Working Papers from Harvard - Institute of Economic Research Contact information at EDIRC.
Bibliographic data for series maintained by Thomas Krichel ().