On the Structure of Rationalizability for Arbitrary Spaces of Uncertainty

Antonio Penta ()

PIER Working Paper Archive from Penn Institute for Economic Research, Department of Economics, University of Pennsylvania

Abstract: This note characterizes the set A¡∞ of actions of player ¡ that are uniquely rationalizable for some hierarchy of beliefs on an arbitrary space of uncertainty. It is proved that for any rationalizable action a¡ for the type t¡, if a¡ belongs to A¡∞ and is justified by conjectures concentrated on A-¡∞, then there exists a sequence of types converging to t¡ for which a¡ is uniquely rationalizable.

Keywords: Rationalizability; incomplete information; robustness; refinement; higher order beliefs; dominance solvability; richness (search for similar items in EconPapers)
JEL-codes: C72 (search for similar items in EconPapers)
Pages: 12 pages
Date: 2008-10-01, Revised 2008-06-05
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

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Related works:
Journal Article: On the structure of rationalizability for arbitrary spaces of uncertainty (2013)
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Persistent link: https://EconPapers.repec.org/RePEc:pen:papers:09-021

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