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Traits, Imitation, and Evolutionary Dynamics

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  • Schnedler, Wendelin

    ()
    (University of Paderborn)

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 Institute for the Study of Labor (IZA) in its series IZA Discussion Papers with number 849.

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Length: 20 pages
Date of creation: Aug 2003
Date of revision:
Handle: RePEc:iza:izadps:dp849

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

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  1. 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.
  2. Robson, A.J., 1989. "Efficiency In Evolutionary Games: Darwin, Nash And Secret Handshake," Papers 89-22, Michigan - Center for Research on Economic & Social Theory.
  3. David K Levine & Wolfgang Pesendorfer, 2000. "Evolution Through Imitation in a Single Population," Levine's Working Paper Archive 2122, David K. Levine.
  4. Michel BenaÔm & J–rgen W. Weibull, 2003. "Deterministic Approximation of Stochastic Evolution in Games," Econometrica, Econometric Society, vol. 71(3), pages 873-903, 05.
  5. Frank, Robert H, 1984. "Are Workers Paid Their Marginal Products?," American Economic Review, American Economic Association, vol. 74(4), pages 549-71, September.
  6. 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.
  7. 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.
  8. Schlag, Karl H., 1994. "Why Imitate, and if so, How? Exploring a Model of Social Evolution," Discussion Paper Serie B 296, University of Bonn, Germany.
  9. 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.
  10. 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.
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