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The propagation of chaos for interacting individuals in a large population

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  • Tanabe, Yasuo
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    Article provided by Elsevier in its journal Mathematical Social Sciences.

    Volume (Year): 51 (2006)
    Issue (Month): 2 (March)
    Pages: 125-152

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    Handle: RePEc:eee:matsoc:v:51:y:2006:i:2:p:125-152

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    Web page: http://www.elsevier.com/locate/inca/505565

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    1. Gale, John & Binmore, Kenneth G. & Samuelson, Larry, 1995. "Learning to be imperfect: The ultimatum game," Games and Economic Behavior, Elsevier, vol. 8(1), pages 56-90.
    2. Schlag, Karl H., 1998. "Why Imitate, and If So, How?, : A Boundedly Rational Approach to Multi-armed Bandits," Journal of Economic Theory, Elsevier, vol. 78(1), pages 130-156, January.
    3. Borgers, Tilman & Sarin, Rajiv, 1997. "Learning Through Reinforcement and Replicator Dynamics," Journal of Economic Theory, Elsevier, vol. 77(1), pages 1-14, November.
    4. Corradi, Valentina & Sarin, Rajiv, 2000. "Continuous Approximations of Stochastic Evolutionary Game Dynamics," Journal of Economic Theory, Elsevier, vol. 94(2), pages 163-191, October.
    5. Dixon, Huw David, 2000. "Keeping up with the Joneses: competition and the evolution of collusion," Journal of Economic Behavior & Organization, Elsevier, vol. 43(2), pages 223-238, October.
    6. R. Boylan, 2010. "Continuous Approximation of Dynamical Systems with Randomly Matched Individuals," Levine's Working Paper Archive 372, David K. Levine.
    7. Michel BenaÔm & J–rgen W. Weibull, 2003. "Deterministic Approximation of Stochastic Evolution in Games," Econometrica, Econometric Society, vol. 71(3), pages 873-903, 05.
    8. Sandholm, William H., 2003. "Evolution and equilibrium under inexact information," Games and Economic Behavior, Elsevier, vol. 44(2), pages 343-378, August.
    9. Graham, Carl & Méléard, Sylvie, 1993. "Propagation of chaos for a fully connected loss network with alternate routing," Stochastic Processes and their Applications, Elsevier, vol. 44(1), pages 159-180, January.
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    Cited by:
    1. Ulrich Horst, 2010. "Dynamic Systems of Social Interactions," SFB 649 Discussion Papers SFB649DP2010-012, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.

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