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Econometrica Vol. 63 No. 6 1995

Equilibrium Refinement for Infinite Normal-Form Games

Leo K. Simon1; Maxwell B. Stinchcombe

1 University of California, Berkeley

Abstract

The authors present three distinct approaches to perfect and proper equilibria for infinite normal form games. In the first two approaches, players 'tremble' in the infinite game playing full support approximate best responses to others' strategies. In the strong approach, a tremble assigns high probability to the set of pure best responses; in the weak approach, it assigns high probability to a neighborhood of this set. The third, limit-of-finite approach applies traditional refinements to sequences of successively larger finite games. Overall, the strong approach to equilibrium refinement most fully respects the structure of infinite games.

DOI
10.2307/2171776
Volume
63
Issue
6
Pages
1421
Sources
bibtex:phds-export.bib crossref openalex

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