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History loyalty-based reward promotes cooperation in the spatial public goods game

Author

Listed:
  • Fu, Mingjian
  • Guo, Wenzhong
  • Cheng, Linlin
  • Huang, Shouying
  • Chen, Dewang

Abstract

Reward has been proved to be an effective mechanism to sustain cooperation among selfish individuals. In this paper, we propose a history loyalty-based reward in which a cooperator can gain additional reward if the time he sticks to the cooperation strategy is over a loyalty threshold. Accordingly, defectors have to bear the cost of reward subsequently. The results on the spatial public goods game show that the cooperation could be immensely enhanced when the loyalty threshold and the reward factor are suitable. Besides, the time evolution of cooperator density and the spatial distribution of cooperators and defectors are investigated. Our work extends the form of reward in the evolution of spatial public goods game.

Suggested Citation

  • Fu, Mingjian & Guo, Wenzhong & Cheng, Linlin & Huang, Shouying & Chen, Dewang, 2019. "History loyalty-based reward promotes cooperation in the spatial public goods game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 1323-1329.
    • Handle: RePEc:eee:phsmap:v:525:y:2019:i:c:p:1323-1329
    DOI: 10.1016/j.physa.2019.03.108
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    Citations

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    Cited by:

    1. Lee, Hsuan-Wei & Cleveland, Colin & Szolnoki, Attila, 2024. "Suppressing defection by increasing temptation: The impact of smart cooperators on a social dilemma situation," Applied Mathematics and Computation, Elsevier, vol. 479(C).
    2. Zhang, Yali & Lu, Yikang & Jin, Haoyu & Dong, Yuting & Du, Chunpeng & Shi, Lei, 2024. "The impact of dynamic reward on cooperation in the spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 187(C).
    3. Lee, Hsuan-Wei & Cleveland, Colin & Szolnoki, Attila, 2023. "Group-size dependent synergy in heterogeneous populations," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    4. Zhang, Yao & Hao, Qing-Yi & Qian, Jia-Li & Wu, Chao-Yun & Guo, Ning & Ling, Xiang, 2024. "The cooperative evolution in the spatial prisoner's dilemma game with the local loyalty of two-strategy," Applied Mathematics and Computation, Elsevier, vol. 466(C).
    5. Quan, Ji & Li, Haoze & Zhang, Man & Wang, Xianjia, 2024. "Cooperation dynamics in nonlinear spatial public goods games with endogenous synergy and discounting feedback," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    6. Szolnoki, Attila & Chen, Xiaojie, 2020. "Blocking defector invasion by focusing on the most successful partner," Applied Mathematics and Computation, Elsevier, vol. 385(C).
    7. 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).
    8. Szolnoki, Attila & Chen, Xiaojie, 2020. "Strategy dependent learning activity in cyclic dominant systems," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    9. Lee, Hsuan-Wei & Cleveland, Colin & Szolnoki, Attila, 2024. "Supporting punishment via taxation in a structured population," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    10. Szolnoki, Attila & Chen, Xiaojie, 2020. "Gradual learning supports cooperation in spatial prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    11. Zhang, Qianwei & Liu, Jiaqi & Zhang, Xinran, 2024. "Reputation-based disconnection-reconnection mechanism in Prisoner's Dilemma Game within dynamic networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 650(C).
    12. Zhenghong Wu & Huan Huang & Qinghu Liao, 2021. "The study on the role of dedicators on promoting cooperation in public goods game," PLOS ONE, Public Library of Science, vol. 16(9), pages 1-17, September.
    13. Wang, Jianwei & Xu, Wenshu & Chen, Wei & Yu, Fengyuan & He, Jialu, 2021. "Inter-group selection of strategy promotes cooperation in public goods game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 583(C).
    14. Szolnoki, Attila & Chen, Xiaojie, 2022. "Tactical cooperation of defectors in a multi-stage public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    15. de Oliveira, Breno F. & Szolnoki, Attila, 2022. "Competition among alliances of different sizes," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    16. Zu, Jinjing & Xu, Fanxin & Jin, Tao & Xiang, Wei, 2022. "Reward and Punishment Mechanism with weighting enhances cooperation in evolutionary games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).

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