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On discrete dynamical systems associated to games

Author

Listed:
  • Elsayed Ahmed

    (Mathematics Department, Faculty of Science, Al-Ain, P. O. Box 17551, UAE)

  • Ahmed Sadek Hegazi

    (Mathematics Department, Faculty of Science, Mansoura 35516, Egypt)

Abstract

Dynamical systems corresponding to continuous strategy games are introduced. The steady of the systems corresponding to continuous prisoner's dilemma, hawk-dove and rock-scissors-paper games are found and their stability are discussed. A discrete imitation equation is derived. Smale's payoff memory game formulation is generalized.

Suggested Citation

  • Elsayed Ahmed & Ahmed Sadek Hegazi, 1999. "On discrete dynamical systems associated to games," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 2(04), pages 423-430.
    • Handle: RePEc:wsi:acsxxx:v:02:y:1999:i:04:n:s0219525999000217
    DOI: 10.1142/S0219525999000217
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    Cited by:

    1. Cafagna, Vittorio & Coccorese, Paolo, 2005. "Dynamical systems and the arising of cooperation in a Cournot duopoly," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 655-664.

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