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Periodic Attractor in the Discrete Time Best-Response Dynamics of the Rock-Paper-Scissors Game

Author

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  • José Pedro Gaivão

    (Universidade de Lisboa)

  • Telmo Peixe

    (Universidade de Lisboa)

Abstract

The Rock-Paper-Scissors (RPS) game is a classic non-cooperative game widely studied in terms of its theoretical analysis as well as in its applications, ranging from sociology and biology to economics. In this work, we show that the attractor of the discrete time best-response dynamics of the RPS game is a finite union of periodic orbits. Moreover, we also describe the bifurcations of the attractor and determine the exact number, period and location of the periodic orbits.

Suggested Citation

  • José Pedro Gaivão & Telmo Peixe, 2021. "Periodic Attractor in the Discrete Time Best-Response Dynamics of the Rock-Paper-Scissors Game," Dynamic Games and Applications, Springer, vol. 11(3), pages 491-511, September.
    • Handle: RePEc:spr:dyngam:v:11:y:2021:i:3:d:10.1007_s13235-020-00371-y
    DOI: 10.1007/s13235-020-00371-y
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    References listed on IDEAS

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