Evolution and Refinement with Endogenous Mistake Probabilities
AbstractBergin and Lipman (1996) show that the refinement effect from the random mutations in the adaptive population dynamics in Kandori, Mailath and Rob (1993) and Young (1993) is due to restrictions on how these mutation rates vary across population states. We here model mutation rates as endogenously determined mistake probabilities, by assuming that players with some effort can control the probability of implementing the intended strategy. This is shown to corroborate the results in Kandori-Mailath-Rob (1993) and, under certain regularity conditions, those in Young (1993). The approach also yields a new refinement of the Nash equilibrium concept that is logically independent of Selten's (1975) perfection concept and Myerson's (1978) properness concept.
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Bibliographic InfoPaper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 1999-122.
Date of creation: 1999
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game theory; probability;
Other versions of this item:
- van Damme, Eric & Weibull, Jörgen W., 1999. "Evolution and Refinement with Endogenous Mistake Probabilities," Working Paper Series 525, Research Institute of Industrial Economics.
- C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
This paper has been announced in the following NEP Reports:
- NEP-ALL-2000-02-28 (All new papers)
- NEP-EVO-2000-02-28 (Evolutionary Economics)
- NEP-MIC-2000-02-28 (Microeconomics)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Arthur J Robson & Fernando Vega-Redondo, 1999.
"Efficient Equilibrium Selection in Evolutionary Games with Random Matching,"
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- Damme, E.E.C. van & Weibull, J., 2002.
"Evolution in games with endogenous mistake probabilities,"
Open Access publications from Tilburg University
urn:nbn:nl:ui:12-91438, Tilburg University.
- van Damme, Eric & Weibull, Jorgen W., 2002. "Evolution in Games with Endogenous Mistake Probabilities," Journal of Economic Theory, Elsevier, vol. 106(2), pages 296-315, October.
- Mattsson, Lars-Goran & Weibull, Jorgen W., 2002. "Probabilistic choice and procedurally bounded rationality," Games and Economic Behavior, Elsevier, vol. 41(1), pages 61-78, October.
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