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Why Imitate, and if so, How? Exploring a Model of Social Evolution

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Author Info
Schlag, Karl H.

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Abstract

In consectutive rounds, each agent in a finite population chooses an action, is randomly matched, obtains a payoff and then observes the performance of another agent. An agent determines future behavior based on the information she receives from the present round. She chooses among the behavioral rules that increase expected payoffs in any specifications of the matching scenario. The rule that outperforms all other such rules specifies to imitate the action of an agent that performed better with probability proportional to how much better she performed. The evolution of a large population in which each agent uses this rule can be approximated in the short run by the replicator dynamics.

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File URL: ftp://web.bgse.uni-bonn.de/pub/RePEc/bon/bonsfb/bonsfb296.pdf
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Publisher Info
Paper provided by University of Bonn, Germany in its series Discussion Paper Serie B with number 296.

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Date of creation: Nov 1994
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Handle: RePEc:bon:bonsfb:296

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Postal: Bonn Graduate School of Economics, University of Bonn, Adenauerallee 24 - 26, 53113 Bonn, Germany
Fax: +49 228 73 9221
Web page: http://www.bgse.uni-bonn.de/index.php?id=517

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Related research
Keywords: Random matching; learning; imitation; replicator dynamics;

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Find related papers by JEL classification:
C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other

References listed on IDEAS
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  1. Cross, John G, 1973. "A Stochastic Learning Model of Economic Behavior," The Quarterly Journal of Economics, MIT Press, vol. 87(2), pages 239-66, May. [Downloadable!] (restricted)
  2. repec:att:wimass:199325 is not listed on IDEAS
  3. Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January. [Downloadable!] (restricted)
    Other versions:
  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. Tilman Borgers & Rajiv Sarin, 1993. "Learning Through Reinforcement and Replicator Dynamics," University of California at San Diego, Economics Working Paper Series 93-47, Department of Economics, UC San Diego.
    Other versions:
  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. Antonio Cabrales, 1993. "Stochastic Replicator Dynamics," Economics Working Papers 54, Department of Economics and Business, Universitat Pompeu Fabra. [Downloadable!]
    Other versions:
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This page was last updated on 2009-10-29.


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