The Equivalence of the Dekel-Fudenberg Iterative Procedure and Weakly Perfect Rationalizability
AbstractTwo approaches have been proposed in the literature to refine the rationalizability solution concept: either assuming that players make small errors when playing their strategies, or assuming that there is a small amount of payoff uncertainty. We show that both approaches lead to the same refinement if errors are made according to the concept of weakly perfect rationalizability, and there is payoff uncertainty as in Dekel and Fudenberg [Journal of Economic Theory 52 (1990), 243-267]. For both cases, the strategies that survive are obtained by starting with one round of elimination of weakly dominated strategies followed by many rounds of elimination of strictly dominated strategies.
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Bibliographic InfoPaper provided by Cowles Foundation for Research in Economics, Yale University in its series Cowles Foundation Discussion Papers with number 1173.
Length: 11 pages
Date of creation: Mar 1998
Date of revision:
Publication status: Published in Economic Theory (2000), 15(2): 677-687
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Other versions of this item:
- Vincent J. Vannetelbosch & P. Jean-Jacques Herings, 2000. "The equivalence of the Dekel-Fudenberg iterative procedure and weakly perfect rationalizability," Economic Theory, Springer, vol. 15(3), pages 677-687.
- HERINGS, P. J.-J. & VANNETELBOSCH, Vincent J., 1998. "The equivalence of the Dekel-Fudenberg iterative procedure and weakly perfect rationalizability," CORE Discussion Papers 1998029, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
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