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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.

Suggested Citation

  • Wendelin Schnedler, 2003. "Traits, Imitation and Evolutionary Dynamics," The Centre for Market and Public Organisation 03/081, Department of Economics, University of Bristol, UK.
  • Handle: RePEc:bri:cmpowp:03/081
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    References listed on IDEAS

    as
    1. Robson, A.J., 1989. "Efficiency In Evolutionary Games: Darwin, Nash And Secret Handshake," Papers 89-22, Michigan - Center for Research on Economic & Social Theory.
    2. 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 588-593, June.
    3. Frank, Robert H, 1984. "Are Workers Paid Their Marginal Products?," American Economic Review, American Economic Association, vol. 74(4), pages 549-571, September.
    4. David K Levine & Wolfgang Pesendorfer, 2000. "Evolution Through Imitation in a Single Population," Levine's Working Paper Archive 2122, David K. Levine.
    5. Fudenberg, Drew & Maskin, Eric, 1990. "Evolution and Cooperation in Noisy Repeated Games," American Economic Review, American Economic Association, vol. 80(2), pages 274-279, May.
    6. 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.
    7. Michel BenaÔm & J–rgen W. Weibull, 2003. "Deterministic Approximation of Stochastic Evolution in Games," Econometrica, Econometric Society, vol. 71(3), pages 873-903, May.
    8. 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.
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    More about this item

    Keywords

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

    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; Information and Knowledge; Communication; Belief; Unawareness

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