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Promotion of cooperation with loyalty-based reward in the spatial prisoner’s dilemma game

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  • Fu, Mingjian
  • Wang, Jingbin
  • Cheng, Linlin
  • Chen, Lijuan

Abstract

Memory and reward have been proved as effective mechanisms for maintaining cooperation among selfish individuals. In this article, this study proposes a reward mechanism based on historical loyalty, that is, an individual who adhere to the cooperation strategy for a period of time will get additional reward. Accordingly, the reward for a loyal cooperator is undertaken by neighboring defectors equally. The results on prisoner’s dilemma game show that, with appropriate loyalty threshold and reward factors, the cooperation level can be greatly enhanced. In addition, the time evolution of cooperator density and the spatial distribution of cooperators and defectors are also studied.

Suggested Citation

  • Fu, Mingjian & Wang, Jingbin & Cheng, Linlin & Chen, Lijuan, 2021. "Promotion of cooperation with loyalty-based reward in the spatial prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 580(C).
    • Handle: RePEc:eee:phsmap:v:580:y:2021:i:c:s0378437120309705
    DOI: 10.1016/j.physa.2020.125672
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    Citations

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    Cited by:

    1. Lee, Hsuan-Wei & Cleveland, Colin & Szolnoki, Attila, 2023. "Restoring spatial cooperation with myopic agents in a three-strategy social dilemma," Applied Mathematics and Computation, Elsevier, vol. 458(C).
    2. Zhao, Shanshan & Pan, Qiuhui & Zhu, Wenqiang & He, Mingfeng, 2023. "How “punishing evil and promoting good” promotes cooperation in social dilemma," Applied Mathematics and Computation, Elsevier, vol. 438(C).
    3. Chen, Qin & Pan, Qiuhui & He, Mingfeng, 2022. "The influence of quasi-cooperative strategy on social dilemma evolution," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    4. Liao, Hui-Min & Hao, Qing-Yi & Qian, Jia-Li & Wu, Chao-Yun & Guo, Ning & Ling, Xiang, 2023. "Cooperative evolution under the joint influence of local popularity and global popularity," Applied Mathematics and Computation, Elsevier, vol. 439(C).
    5. Lee, Hsuan-Wei & Cleveland, Colin & Szolnoki, Attila, 2022. "Mercenary punishment in structured populations," Applied Mathematics and Computation, Elsevier, vol. 417(C).
    6. Szolnoki, Attila & Chen, Xiaojie, 2022. "Tactical cooperation of defectors in a multi-stage public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    7. Ji, Jiezhou & Pan, Qiuhui & Zhu, Wenqiang & He, Mingfeng, 2023. "The influence of own historical information and environmental historical information on the evolution of cooperation," Applied Mathematics and Computation, Elsevier, vol. 446(C).

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