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Three-Player Games with Strategy-Dependent Time Delays

Author

Listed:
  • Marek Bodnar

    (University of Warsaw)

  • Jacek Miȩkisz

    (University of Warsaw)

  • Raffi Vardanyan

    (University of Warsaw)

Abstract

We analyze replicator dynamics with strategy-dependent time delays in a certain three-player game with one pure and two mixed Nash equilibria. In such a model, new players are born from parents who interacted in the past. We show that stationary states depend on time delays. Moreover, at certain time delays, interior equilibria cease to exist.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:dyngam:v:10:y:2020:i:3:d:10.1007_s13235-019-00340-0
    DOI: 10.1007/s13235-019-00340-0
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    References listed on IDEAS

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    1. 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.
    2. Kim, Youngse, 1996. "Equilibrium Selection inn-Person Coordination Games," Games and Economic Behavior, Elsevier, vol. 15(2), pages 203-227, August.
    3. Iijima, Ryota, 2011. "Heterogeneous information lags and evolutionary stability," Mathematical Social Sciences, Elsevier, vol. 61(2), pages 83-85, March.
    4. Hiroshi Oaku, 2002. "Evolution with Delay," The Japanese Economic Review, Japanese Economic Association, vol. 53(1), pages 114-133, March.
    5. 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.
    6. Maciej Bukowski & Jacek Miekisz, 2004. "Evolutionary and asymptotic stability in symmetric multi-player games," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(1), pages 41-54, January.
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    Cited by:

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