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Imitation and Experimentation in a Changing Environment

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Author Info
Francesco Squintani
Juuso Valimaki

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Abstract

This paper analyzes the equilibrium play in a random matching model with a changing environment. Under myopic decision making, players adopt imitation strategies similar to those observed in evolutionary models with sampling from past play in the population. If the players are patient, equilibrium strategies display elements of experimentation in addition to imitation. If the changes in the environment are infrequent enough, these strategies succeed in coordinating almost all of the players on the dominant action almost all of the time. The myopic rules, on the other hand, result in mis-coordination for a positive fraction of time.

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File URL: http://www.kellogg.northwestern.edu/research/math/papers/1275.pdf
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Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 1275.

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Date of creation: Oct 1999
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Handle: RePEc:nwu:cmsems:1275

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Find related papers by JEL classification:
C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information
D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations

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  1. Marco Ottaviani & Giuseppe Moscarini & Lones Smith, 1998. "Social learning in a changing world," Economic Theory, Springer, vol. 11(3), pages 657-665. [Downloadable!] (restricted)
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  2. Smith, L. & Sorensen, P., 1996. "Pathological Outcomes of Observational Learning," Economics Papers 115, Economics Group, Nuffield College, University of Oxford.
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  3. Hofbauer, Josef & Weibull, Jorgen W., 1996. "Evolutionary Selection against Dominated Strategies," Journal of Economic Theory, Elsevier, vol. 71(2), pages 558-573, November. [Downloadable!] (restricted)
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  4. Bjornerstedt, J. & Weibull, J.W., 1993. "Nash Equilibrium and Evolution by Imitation," DELTA Working Papers 93-23, DELTA (Ecole normale supérieure).
  5. Friedman, Daniel, 1991. "Evolutionary Games in Economics," Econometrica, Econometric Society, vol. 59(3), pages 637-66, May. [Downloadable!] (restricted)
  6. Boylan, Richard T., 1990. "Laws of Large Numbers for Dynamical Systems with Randomly Matched Individuals," Working Papers 748, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
  7. Banerjee, Abhijit V, 1992. "A Simple Model of Herd Behavior," The Quarterly Journal of Economics, MIT Press, vol. 107(3), pages 797-817, August. [Downloadable!] (restricted)
  8. Keller, Godfrey & Rady, Sven, 1999. "Optimal Experimentation in a Changing Environment," Review of Economic Studies, Blackwell Publishing, vol. 66(3), pages 475-507, July. [Downloadable!] (restricted)
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  9. Rustichini, Aldo & Wolinsky, Asher, 1995. "Learning about variable demand in the long run," Journal of Economic Dynamics and Control, Elsevier, vol. 19(5-7), pages 1283-1292. [Downloadable!] (restricted)
  10. Boylan, Richard T., 1992. "Laws of large numbers for dynamical systems with randomly matched individuals," Journal of Economic Theory, Elsevier, vol. 57(2), pages 473-504, August. [Downloadable!] (restricted)
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