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Impacts of special cooperation strategy with reward and punishment mechanism on cooperation evolution

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  • Pan, Qiuhui
  • Wang, Yue
  • He, Mingfeng

Abstract

This paper introduces a special cooperation strategy with both punishment and reward capabilities and analyzes the effect of this strategy on cooperation evolution. The results show that the evolutionary stable states include full defection, the coexistence of ordinary cooperators and defectors, the coexistence of special cooperators and defectors, the coexistence of special cooperators and ordinary cooperators, and the coexistence of the three strategies. Punishment can induce cooperation. Under moderate punishment, the greater the reward the more conducive to cooperation, while under larger punishment, higher rewards conversely weaken the facilitative effect on cooperation. As the temptation increases, ordinary cooperators decrease to zero, while special cooperators increase first and start to decrease or even die out when the ordinary cooperators disappear. The coexistence of the three strategies presents that the ordinary cooperator group is exploited by the defectors, the special cooperator group is invaded by the ordinary cooperators, and the defector group is suppressed by the special cooperators, making the three strategies mutually suppressive and interdependent, and ultimately stable coexistence. The presence of special cooperators significantly promotes cooperation evolution in systems. This contributes to a better understanding of the origins and transformations of social norms and institutions.

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  • Pan, Qiuhui & Wang, Yue & He, Mingfeng, 2022. "Impacts of special cooperation strategy with reward and punishment mechanism on cooperation evolution," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    • Handle: RePEc:eee:chsofr:v:162:y:2022:i:c:s0960077922006427
    DOI: 10.1016/j.chaos.2022.112432
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    1. Deng, Zheng-Hong & Wang, Zi-Ren & Wang, Huan-Bo & Huang, Yijie, 2021. "Impact of informers on the evolution of cooperation in prisoner's dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 149(C).
    2. Hirth, Stefan, 2014. "Credit rating dynamics and competition," Journal of Banking & Finance, Elsevier, vol. 49(C), pages 100-112.
    3. Jia, Danyang & Shen, Chen & Guo, Hao & Chu, Chen & Lu, Jun & Shi, Lei, 2018. "The impact of loners’ participation willingness on cooperation in voluntary prisoner's dilemma," Chaos, Solitons & Fractals, Elsevier, vol. 108(C), pages 218-223.
    4. Gao, Bo & Liu, Xuan & Lan, Zhong-Zhou & Hong, Jie & Zhang, Wenguang, 2021. "The evolution of cooperation with preferential selection in voluntary public goods game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 584(C).
    5. Jorgen W. Weibull, 1997. "Evolutionary Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262731215, April.
    6. Xu, Jiwei & Deng, Zhenghong & Gao, Bo & Song, Qun & Tian, Zhihong & Wang, Qiuling & Gao, Mingyu & Niu, Zhenxi, 2019. "Popularity-driven strategy updating rule promotes cooperation in the spatial prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 353(C), pages 82-87.
    7. Zhang, Boyu & An, Xinmiao & Dong, Yali, 2021. "Conditional cooperator enhances institutional punishment in public goods game," Applied Mathematics and Computation, Elsevier, vol. 390(C).
    8. Quan, Ji & Tang, Caixia & Wang, Xianjia, 2021. "Reputation-based discount effect in imitation on the evolution of cooperation in spatial public goods games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 563(C).
    9. Wang, Qiuling & Jia, Danyang, 2019. "Expectation driven by update willingness promotes cooperation in the spatial prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 352(C), pages 174-179.
    10. Zhen Wang & Lin Wang & Zi-Yu Yin & Cheng-Yi Xia, 2012. "Inferring Reputation Promotes the Evolution of Cooperation in Spatial Social Dilemma Games," PLOS ONE, Public Library of Science, vol. 7(7), pages 1-9, July.
    11. Rui Cong & Bin Wu & Yuanying Qiu & Long Wang, 2012. "Evolution of Cooperation Driven by Reputation-Based Migration," PLOS ONE, Public Library of Science, vol. 7(5), pages 1-7, May.
    12. Hau L. Lee & Corey Billington, 1995. "The Evolution of Supply-Chain-Management Models and Practice at Hewlett-Packard," Interfaces, INFORMS, vol. 25(5), pages 42-63, October.
    13. 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.
    14. Li, Wen-Jing & Jiang, Luo-Luo & Perc, Matjaž, 2021. "A limited mobility of minorities facilitates cooperation in social dilemmas," Applied Mathematics and Computation, Elsevier, vol. 391(C).
    15. repec:hhs:iuiwop:487 is not listed on IDEAS
    16. Zhang, Liming & Huang, Changwei & Li, Haihong & Dai, Qionglin & Yang, Junzhong, 2021. "Cooperation guided by imitation, aspiration and conformity-driven dynamics in evolutionary games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 561(C).
    17. Liu, Jinzhuo & Li, Tong & Wang, Wei & Zhao, Na & Hang, Feilu, 2018. "Impact of strategy-neutral rewarding on the evolution of cooperative behavior," Chaos, Solitons & Fractals, Elsevier, vol. 106(C), pages 76-79.
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    Cited by:

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    2. Shi, Zhenyu & Wei, Wei & Zheng, Hongwei & Zheng, Zhiming, 2023. "Bidirectional supervision: An effective method to suppress corruption and defection under the third party punishment mechanism of donation games," Applied Mathematics and Computation, Elsevier, vol. 450(C).
    3. 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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