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For a finite set of actions and a rich set of fundamentals, consider the rationalizable actions on a universal type space, endowed with the usual product topology. (1) Generically, there exists a unique rationalizable action profile. (2) Every model can be approximately embedded in a dominance-solvable model. (3) A rationalizable strategy is continuous at a finite type if and only if there is a unique rationalizable action for that type. Keywords: higher-order uncertainty, rationalizability, universal type space, continuity. JEL Classifications: C72, C73.
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Generic uniqueness and continuity of retionalizable strategies
2005, Massachusetts Institute of Technology, Dept. of Economics
in English
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Edition Notes
"May 6, 2005."
Includes bibliographical references (p. 36-37).
Abstract in HTML and working paper for download in PDF available via World Wide Web at the Social Science Research Network.
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