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Evolution with Delay

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  • Hiroshi Oaku

Abstract

This paper analyses evolutionary models with delays in players’ observations. I apply best response dynamics to symmetric 2 × 2 games, in particular the coordination game and the game with no symmetric pure strategy equilibrium. When the dynamics have no delay, their solutions converge to symmetric Nash equilibria monotonically. However when I introduce delays to the dynamics, although these dynamics represented by differential difference equations are seemingly simple, it shows that they have periodic solutions. JEL Classification Number: C79.

Suggested Citation

  • Hiroshi Oaku, 2002. "Evolution with Delay," The Japanese Economic Review, Japanese Economic Association, vol. 53(1), pages 114-133, March.
    • Handle: RePEc:bla:jecrev:v:53:y:2002:i:1:p:114-133
    DOI: 10.1111/1468-5876.00216
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    Cited by:

    1. Jinxiu Pi & Hui Yang & Yadong Shu & Chongyi Zhong & Guanghui Yang, 2020. "The Stability of Two-Community Replicator Dynamics with Discrete Multi-Delays," Mathematics, MDPI, vol. 8(12), pages 1-17, November.
    2. Nesrine Ben-Khalifa & Rachid El-Azouzi & Yezekael Hayel, 2018. "Discrete and Continuous Distributed Delays in Replicator Dynamics," Dynamic Games and Applications, Springer, vol. 8(4), pages 713-732, December.
    3. Marek Bodnar & Jacek Miȩkisz & Raffi Vardanyan, 2020. "Three-Player Games with Strategy-Dependent Time Delays," Dynamic Games and Applications, Springer, vol. 10(3), pages 664-675, September.
    4. Jacek Miȩkisz & Michał Matuszak & Jan Poleszczuk, 2014. "Stochastic Stability in Three-Player Games with Time Delays," Dynamic Games and Applications, Springer, vol. 4(4), pages 489-498, December.
    5. Iijima, Ryota, 2011. "Heterogeneous information lags and evolutionary stability," Mathematical Social Sciences, Elsevier, vol. 61(2), pages 83-85, March.

    More about this item

    JEL classification:

    • C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other

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