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Statistical inference in evolutionary dynamics

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  • Sawa, Ryoji
  • Wu, Jiabin

Abstract

We introduce evolutionary dynamics for two-action games where agents with diverse preferences use statistical inference to guide their behavior. We show that the dynamic converges to a Bayesian sampling equilibrium with statistical inference (SESI) and the set of Bayesian SESIs is globally asymptotically stable. We discuss the global convergence to a unique Bayesian SESI in anti-coordination games, a welfare-improving tax scheme, equilibrium selection in coordination games, an application to the diffusion of behavior on networks, and the extension to multi-action games.

Suggested Citation

  • Sawa, Ryoji & Wu, Jiabin, 2023. "Statistical inference in evolutionary dynamics," Games and Economic Behavior, Elsevier, vol. 137(C), pages 294-316.
    • Handle: RePEc:eee:gamebe:v:137:y:2023:i:c:p:294-316
    DOI: 10.1016/j.geb.2022.11.008
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    Cited by:

    1. Srinivas Arigapudi & Yuval Heller & Amnon Schreiber, 2023. "Heterogeneous Noise and Stable Miscoordination," Papers 2305.10301, arXiv.org.

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    More about this item

    Keywords

    Statistical inference; Bounded rationality; Deterministic evolutionary game theory; Sampling best response; Network games;
    All these keywords.

    JEL classification:

    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General

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