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Evolution and Refinement with Endogenous Mistake Probabilities

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Author Info
van Damme, E.
Weibull, J.W.

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Abstract

Bergin 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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Publisher Info
Paper provided by Research Institute of Industrial Economics (IFN) in its series Research Institute of Industrial Economics Working Papers with number 525.

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Length: 22 pages
Date of creation: 1999
Date of revision:
Handle: RePEc:fth:iniesr:525

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Related research
Keywords: ADAPTATION ; ECONOMIC THEORY ; MATHEMATICAL ANALYSIS;

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Find related papers by JEL classification:
D00 - Microeconomics - - General - - - General
E00 - Macroeconomics and Monetary Economics - - General - - - General
C50 - Mathematical and Quantitative Methods - - Econometric Modeling - - - General
C60 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - General

References listed on IDEAS
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.:

  1. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, December.
  2. Arthur J Robson & Fernando Vega-Redondo, 1999. "Efficient Equilibrium Selection in Evolutionary Games with Random Matching," Levine's Working Paper Archive 2112, David K. Levine. [Downloadable!]
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Cited by:
(explanations, 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.)

  1. Sanjeev Goyal, 2003. "Learning in Networks: a survey," Economics Discussion Papers 563, University of Essex, Department of Economics. [Downloadable!]
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This page was last updated on 2009-12-16.


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