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The Effect Of A History-Fitness-Based Updating Rule On Evolutionary Games

Author

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  • WEN-BO DU

    (School of Electronic and Information Engineering, Beihang University, Beijing 100083, P. R. China;
    School of Computer Science and Technology, University of Science and Technology of China, Hefei, Anhui 230026, P. R. China)

  • XIAN-BIN CAO

    (School of Electronic and Information Engineering, Beihang University, Beijing 100083, P. R. China)

  • RUN-RAN LIU

    (Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui 230026, P. R. China)

  • CHUN-XIAO JIA

    (Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui 230026, P. R. China)

Abstract

In this paper, we introduce a history-fitness-based updating rule into the evolutionary prisoner's dilemma game (PDG) on square lattices, and study how it works on the evolution of cooperation level. Under this updating rule, the playeriwill firstly select playerjfrom its direct neighbors at random and then compare their fitness which is determined by the current payoff and history fitness. If playeri's fitness is larger than that ofj, playeriwill be more likely to keep its own strategy. Numerical results show that the cooperation level is remarkably promoted by the history-fitness-based updating rule. Moreover, there exists a moderate mixing proportion of current payoff and history fitness that can induce the optimal fitness, where the highest cooperation level is obtained. Our work may shed some new light on the ubiquitous cooperative behaviors in nature and society induced by the history factor.

Suggested Citation

  • Wen-Bo Du & Xian-Bin Cao & Run-Ran Liu & Chun-Xiao Jia, 2010. "The Effect Of A History-Fitness-Based Updating Rule On Evolutionary Games," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 21(12), pages 1433-1442.
  • Handle: RePEc:wsi:ijmpcx:v:21:y:2010:i:12:n:s0129183110015956
    DOI: 10.1142/S0129183110015956
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    Cited by:

    1. Szolnoki, Attila & Chen, Xiaojie, 2020. "Gradual learning supports cooperation in spatial prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).

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