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Local stability under evolutionary game dynamics

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  • , H.

    (Department of Economics, University of Wisconsin)

Abstract

We prove that any regular ESS is asymptotically stable under any impartial pairwise comparison dynamic, including the Smith dynamic; under any separable excess payoff dynamic, including the BNN dynamic; and under the best response dynamic. Combined with existing results for imitative dynamics, our analysis validates the use of ESS as a blanket sufficient condition for local stability under evolutionary game dynamics.

Suggested Citation

  • , H., 2010. "Local stability under evolutionary game dynamics," Theoretical Economics, Econometric Society, vol. 5(1), January.
    • Handle: RePEc:the:publsh:505
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    Cited by:

    1. Jean-Paul Chavas & Eleonora Matteazzi & Martina Menon & Federico Perali, 2021. "Bargaining in the Family," CHILD Working Papers Series 88 JEL Classification: D1, Centre for Household, Income, Labour and Demographic Economics (CHILD) - CCA.
    2. Nesrine Ben Khalifa & Rachid El-Azouzi & Yezekael Hayel & Issam Mabrouki, 2017. "Evolutionary Games in Interacting Communities," Dynamic Games and Applications, Springer, vol. 7(2), pages 131-156, June.
    3. Mertikopoulos, Panayotis & Sandholm, William H., 2018. "Riemannian game dynamics," Journal of Economic Theory, Elsevier, vol. 177(C), pages 315-364.
    4. Sawa, Ryoji & Zusai, Dai, 2019. "Evolutionary dynamics in multitasking environments," Journal of Economic Behavior & Organization, Elsevier, vol. 166(C), pages 288-308.
    5. Heller, Yuval & Kuzmics, Christoph, 2020. "Communication, Renegotiation and Coordination with Private Values (Extended Version)," MPRA Paper 102926, University Library of Munich, Germany, revised 26 Jul 2021.
    6. , & , H. & ,, 2015. "Sampling best response dynamics and deterministic equilibrium selection," Theoretical Economics, Econometric Society, vol. 10(1), January.
    7. Sirghi Nicoleta, 2013. "The Theory Of The Firm And The Evolutionary Games," Annals of Faculty of Economics, University of Oradea, Faculty of Economics, vol. 1(1), pages 533-542, July.
    8. Mantas Radzvilas & Francesco De Pretis & William Peden & Daniele Tortoli & Barbara Osimani, 2023. "Incentives for Research Effort: An Evolutionary Model of Publication Markets with Double-Blind and Open Review," Computational Economics, Springer;Society for Computational Economics, vol. 61(4), pages 1433-1476, April.
    9. Yunke Mai & Bin Hu & Saša Pekeč, 2023. "Courteous or Crude? Managing User Conduct to Improve On-Demand Service Platform Performance," Management Science, INFORMS, vol. 69(2), pages 996-1016, February.
    10. Heller, Yuval, 2013. "Language, Meaning, and Games: Comment," MPRA Paper 49375, University Library of Munich, Germany.
    11. Heller, Yuval & Mohlin, Erik, 2019. "Coevolution of deception and preferences: Darwin and Nash meet Machiavelli," Games and Economic Behavior, Elsevier, vol. 113(C), pages 223-247.
    12. Heller, Yuval, 2014. "Stability and trembles in extensive-form games," Games and Economic Behavior, Elsevier, vol. 84(C), pages 132-136.
    13. Heller, Yuval & Mohlin, Erik, 2015. "Stable Observable Behavior," MPRA Paper 63013, University Library of Munich, Germany.
    14. Jean-Paul Chavas & Eleonora Matteazzi & Martina Menon & Federico Perali, 2022. "(In)Efficient Bargaining in the Family," Working Papers 2, SITES.
    15. Manxi Wu & Saurabh Amin & Asuman Ozdaglar, 2021. "Multi-agent Bayesian Learning with Best Response Dynamics: Convergence and Stability," Papers 2109.00719, arXiv.org.
    16. Sandholm, William H., 2015. "Population Games and Deterministic Evolutionary Dynamics," Handbook of Game Theory with Economic Applications,, Elsevier.
    17. Leng Yi & Fukuda Hiroatsu, 2022. "Incentives for Innovation in Robotics and Automated Construction: Based on a Tripartite Evolutionary Game Analysis," Sustainability, MDPI, vol. 14(4), pages 1-20, February.

    More about this item

    Keywords

    Evolutionary game dynamics; ESS;

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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