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The propagation of chaos for interacting individuals in a large population

  • Tanabe, Yasuo
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    File URL: http://www.sciencedirect.com/science/article/B6V88-4HNSJF5-1/2/88834f8a9bea5688d297cf22e7cd836b
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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
    Contact details of provider: 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. 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.
    3. Sandholm, William H., 2003. "Evolution and equilibrium under inexact information," Games and Economic Behavior, Elsevier, vol. 44(2), pages 343-378, August.
    4. Karl H. Schlag, . "Why Imitate, and if so, How? A Bounded Rational Approach to Multi- Armed Bandits," ELSE working papers 028, ESRC Centre on Economics Learning and Social Evolution.
    5. Tilman B�rgers & Rajiv Sarin, . "Learning Through Reinforcement and Replicator Dynamics," ELSE working papers 051, ESRC Centre on Economics Learning and Social Evolution.
    6. 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.
    7. R. Boylan, 2010. "Continuous Approximation of Dynamical Systems with Randomly Matched Individuals," Levine's Working Paper Archive 372, David K. Levine.
    8. Corradi, Valentina & Sarin, Rajiv, 2000. "Continuous Approximations of Stochastic Evolutionary Game Dynamics," Journal of Economic Theory, Elsevier, vol. 94(2), pages 163-191, October.
    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.
    10. 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.
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