The equivalence of the Dekel-Fudenberg iterative procedure and weakly perfect rationalizability
Two 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 [J. of Econ. 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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- D. B. Bernheim, 2010.
"Rationalizable Strategic Behavior,"
Levine's Working Paper Archive
661465000000000381, David K. Levine.
- HERINGS, P. Jean-Jacques & ANNETELBOSCH, Vincent J., .
"Refinements of rationalizability for normal-form games,"
CORE Discussion Papers RP
-1378, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Vincent J. Vannetelbosch & P. Jean-Jacques Herings, 1999. "Refinements of rationalizability for normal-form games," International Journal of Game Theory, Springer, vol. 28(1), pages 53-68.
- Herings, P.J.J. & Vannetelbosch, V., 1997. "Refinements of Rationalizability for Normal-Form Games," Discussion Paper 1997-03, Tilburg University, Center for Economic Research.
- HERINGS, Jean - Jacques & VANNETELBOSCH, Vincent, 1997. "Refinements of rationalizability for normal-form games," CORE Discussion Papers 1997002, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- repec:dgr:kubcen:199703 is not listed on IDEAS
- E. Dekel & D. Fudenberg, 2010.
"Rational Behavior with Payoff Uncertainty,"
Levine's Working Paper Archive
379, David K. Levine.
- Ben-Porath, Elchanan, 1997. "Rationality, Nash Equilibrium and Backwards Induction in Perfect-Information Games," Review of Economic Studies, Wiley Blackwell, vol. 64(1), pages 23-46, January.
- Brandenburger, Adam & Dekel, Eddie, 1987. "Rationalizability and Correlated Equilibria," Econometrica, Econometric Society, vol. 55(6), pages 1391-1402, November.
- Borgers Tilman, 1994.
"Weak Dominance and Approximate Common Knowledge,"
Journal of Economic Theory,
Elsevier, vol. 64(1), pages 265-276, October.
- Gul, Faruk, 1996. "Rationality and Coherent Theories of Strategic Behavior," Journal of Economic Theory, Elsevier, vol. 70(1), pages 1-31, July.
- Pearce, David G, 1984. "Rationalizable Strategic Behavior and the Problem of Perfection," Econometrica, Econometric Society, vol. 52(4), pages 1029-50, July.
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