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The Equivalence of Evolutionary Games and Distributed Monte Carlo Learning

Author

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  • Yuya Sasaki

Abstract

This paper presents a tight relationship between evolutionary game theory and distributed intelligence models. After reviewing some existing theories of replicator dynamics and distributed Monte Carlo learning, we make formulations and proofs of the equivalence between these two models. The relationship will be revealed not only from a theoretical viewpoint, but also by experimental simulations of the models by taking a simple symmetric zero-sum game as an example. As a consequence, it will be verified that seemingly chaotic macro dynamics generated by distributed micro-decisions can be explained with theoretical models.

Suggested Citation

  • Yuya Sasaki, 2004. "The Equivalence of Evolutionary Games and Distributed Monte Carlo Learning," Working Papers 2004-02, Utah State University, Department of Economics.
  • Handle: RePEc:usu:wpaper:2004-02
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    File URL: https://repec.bus.usu.edu/RePEc/usu/pdf/ERI2004-02.pdf
    File Function: First version, 2004
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    More about this item

    Keywords

    evolutionary game; replicator dynamics; agent based models; Monte Carlo learning; recency-weighted learning;
    All these keywords.

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques

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