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Traits, Imitation and Evolutionary Dynamics

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  • Wendelin Schnedler

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Abstract

In this article, a modelling framework for the information transmission between agents in an evolutionary game setting is proposed. Agents observe traits which reflect past and present behaviour and success of other agents. If agents imitate more successful agents based on these traits, the resulting dynamics are a multivariate stochastic process. An example for such a process is simulated. The results resemble the replicator dynamics to a remarkable degree. If traits moderately depend on the past, this accelerates convergence of the dynamics towards a stable state. If the dependence is strong, the stable state is not reached.

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Bibliographic Info

Paper provided by Department of Economics, University of Bristol, UK in its series The Centre for Market and Public Organisation with number 03/081.

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Length: 17 pages
Date of creation: Jul 2003
Date of revision:
Handle: RePEc:bri:cmpowp:03/081

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Keywords: replicator dynamics; imitation; evolution of cooperation; information transmission; simulation;

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  1. David K Levine & Wolfgang Pesendorfer, 2000. "Evolution Through Imitation in a Single Population," Levine's Working Paper Archive 2122, David K. Levine.
  2. Karl H. Schlag, 1995. "Why Imitate, and if so, How? A Bounded Rational Approach to Multi-Armed Bandits," Discussion Paper Serie B 361, University of Bonn, Germany, revised Mar 1996.
  3. Fudenberg, Drew & Maskin, Eric, 1990. "Evolution and Cooperation in Noisy Repeated Games," American Economic Review, American Economic Association, vol. 80(2), pages 274-79, May.
  4. Robson, A.J., 1989. "Efficiency In Evolutionary Games: Darwin, Nash And Secret Handshake," Papers 89-22, Michigan - Center for Research on Economic & Social Theory.
  5. Harrington, Joseph E, Jr, 1989. "If Homo Economicus Could Choose His Own Utility Function, Would He Want One with a Conscience?: Comment," American Economic Review, American Economic Association, vol. 79(3), pages 588-93, June.
  6. K. Schlag, 2010. "Why Imitate, and if so, How? Exploring a Model of Social Evolution," Levine's Working Paper Archive 454, David K. Levine.
  7. Amann, Erwin & Yang, Chun-Lei, 1998. "Sophistication and the persistence of cooperation," Journal of Economic Behavior & Organization, Elsevier, vol. 37(1), pages 91-105, September.
  8. Benaim, Michel & Weibull, Jörgen W., 2000. "Deterministic Approximation of Stochastic Evolution in Games," Working Paper Series 534, Research Institute of Industrial Economics, revised 30 Oct 2001.
  9. Frank, Robert H, 1987. "If Homo Economicus Could Choose His Own Utility Function, Would He Want One with a Conscience?," American Economic Review, American Economic Association, vol. 77(4), pages 593-604, September.
  10. Frank, Robert H, 1984. "Are Workers Paid Their Marginal Products?," American Economic Review, American Economic Association, vol. 74(4), pages 549-71, September.
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