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Promotion of cooperation in aspiration-based spatial prisoner’s dilemma game

Author

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  • Zhang, Jun
  • Fang, Yi-Ping
  • Du, Wen-Bo
  • Cao, Xian-Bin

Abstract

We introduce a deterministic aspiration-based learning mechanism into the prisoner’s dilemma game on regular lattices and then investigate the evolution of cooperation for different values of aspiration level A. It is found that the cooperation level exhibits discontinuous phase transition with A and there is a moderate aspiration level that can best favor the cooperative behavior. Besides, the evolution time series show the so-called “ping-pong effect” for both high and low aspiration levels. The evolution of spatial patterns is also investigated. It is found that the cooperator frequency is not sensitive to the initial condition but the evolutionary patterns can be quite different.

Suggested Citation

  • Zhang, Jun & Fang, Yi-Ping & Du, Wen-Bo & Cao, Xian-Bin, 2011. "Promotion of cooperation in aspiration-based spatial prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(12), pages 2258-2266.
    • Handle: RePEc:eee:phsmap:v:390:y:2011:i:12:p:2258-2266
    DOI: 10.1016/j.physa.2011.02.045
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    Citations

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    Cited by:

    1. Yongkui Liu & Xiaojie Chen & Lin Zhang & Long Wang & Matjaž Perc, 2012. "Win-Stay-Lose-Learn Promotes Cooperation in the Spatial Prisoner's Dilemma Game," PLOS ONE, Public Library of Science, vol. 7(2), pages 1-8, February.
    2. Wang, Si-Yi & Liu, Yan-Ping & Zhang, Feng & Wang, Rui-Wu, 2021. "Super-rational aspiration induced strategy updating promotes cooperation in the asymmetric prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 403(C).
    3. Xia, Ke, 2021. "Average abundance function of multi-player threshold public goods without initial endowment evolutionary game model under differential aspiration levels and redistribution mechanism," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    4. Keizo Shigaki & Zhen Wang & Jun Tanimoto & Eriko Fukuda, 2013. "Effect of Initial Fraction of Cooperators on Cooperative Behavior in Evolutionary Prisoner's Dilemma Game," PLOS ONE, Public Library of Science, vol. 8(11), pages 1-7, November.
    5. You, Tao & Shi, Liang & Wang, Xiaoyu & Mengibaev, Muslimbek & Zhang, Ying & Zhang, Peng, 2021. "The effects of aspiration under multiple strategy updating rules on cooperation in prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 394(C).
    6. Sun, Peiyuan & Liu, Xuesong & Wang, Enze & He, Mingfeng & Pan, Qiuhui, 2017. "Evolution of cooperation in a spatial structure with compensation mechanisms," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 503-507.
    7. Xia, Ke, 2021. "The characteristics of average abundance function of multi-player threshold public goods evolutionary game model under redistribution mechanism," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    8. Ye, Wenxing & Fan, Suohai, 2020. "Evolutionary traveler’s dilemma game based on particle swarm optimization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 544(C).
    9. Wang, Si-Yi & Wang, Qing-Lian & Zhang, Xiao-Wei & Wang, Rui-Wu, 2023. "Evolutionary cooperation dynamics of combining imitation and super-rational aspiration induced strategy updating," Applied Mathematics and Computation, Elsevier, vol. 456(C).
    10. Ye, Wenxing & Fan, Suohai, 2017. "Evolutionary snowdrift game with rational selection based on radical evaluation," Applied Mathematics and Computation, Elsevier, vol. 294(C), pages 310-317.
    11. Chen, Ya-Shan & Yang, Han-Xin & Guo, Wen-Zhong, 2017. "Aspiration-induced dormancy promotes cooperation in the spatial Prisoner’s Dilemma games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 625-630.
    12. Wang, Zhen & Yu, Chao & Cui, Guang-Hai & Li, Ya-Peng & Li, Ming-Chu, 2016. "Evolution of cooperation in spatial iterated Prisoner’s Dilemma games under localized extremal dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 566-575.

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