IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v438y2023ics0096300322006853.html
   My bibliography  Save this article

How “punishing evil and promoting good” promotes cooperation in social dilemma

Author

Listed:
  • Zhao, Shanshan
  • Pan, Qiuhui
  • Zhu, Wenqiang
  • He, Mingfeng

Abstract

In this paper, based on the social dilemma model, we introduce the punishing evil and promoting good strategy, whose basic strategy is to cooperate, while to obtain benefits at the cost of payment. Specifically, when the person who punishes evil and promotes good plays a game with the cooperator, his contributions will bring the same benefits to both parties, reflecting the promoting good. However, when the person who punishes evil and promotes good plays a game with the defector, making the benefit of the defector loss and become his own benefit, reflecting the punishing evil. The results show that when only the role of punishing evil is considered, increasing punishment strength can easily make those punishing evil and promoting good and ordinary cooperators appear. But only increasing the punishment is not enough to weed out the defectors. When only the effect of promoting good is considered, under a smaller temptation to defection, the increase of the reward strength can transform the system from a full defection state to a full cooperation state. Whereas when the temptation is greater, the increase in the reward is not enough for the cooperator to survive and only defectors exist in the system at this time. In addition, there exist combinations of minimum values of punishment and reward that bring the system to a defector-free state. In conclusion, our study finds effective intervals for promoting the development of those who punish evil and promote good and ordinary cooperators, respectively.

Suggested Citation

  • 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).
  • Handle: RePEc:eee:apmaco:v:438:y:2023:i:c:s0096300322006853
    DOI: 10.1016/j.amc.2022.127612
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300322006853
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.amc.2022.127612?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Wang, Zi-Ren & Deng, Zheng-Hong & Wang, Huan-Bo & Qu, Yun, 2021. "Moderate irrational sentiment-driven fitness can promote cooperation in the prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 584(C).
    2. 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).
    3. 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).
    4. Bin Wu & Feng Fu & Long Wang, 2011. "Imperfect Vaccine Aggravates the Long-Standing Dilemma of Voluntary Vaccination," PLOS ONE, Public Library of Science, vol. 6(6), pages 1-7, June.
    5. Deng, Yunsheng & Zhang, Jihui, 2021. "Memory-based prisoner's dilemma game with history optimal strategy learning promotes cooperation on interdependent networks," Applied Mathematics and Computation, Elsevier, vol. 390(C).
    6. Lei Zhou & Bin Wu & Jinming Du & Long Wang, 2021. "Aspiration dynamics generate robust predictions in heterogeneous populations," Nature Communications, Nature, vol. 12(1), pages 1-9, December.
    7. Han, Xu & Zhao, Xiaowei & Xia, Haoxiang, 2021. "Evolution of cooperation through aspiration-based adjustment of interaction range in spatial prisoner’s dilemma game," Applied Mathematics and Computation, Elsevier, vol. 393(C).
    8. Rand, David Gertler & Dreber, Anna & Fudenberg, Drew & Ellingson, Tore & Nowak, Martin A., 2009. "Positive Interactions Promote Public Cooperation," Scholarly Articles 3804483, Harvard University Department of Economics.
    9. Wang, Xu-Wen & Nie, Sen & Jiang, Luo-Luo & Wang, Bing-Hong & Chen, Shi-Ming, 2017. "Role of delay-based reward in the spatial cooperation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 153-158.
    10. Zhu, Wenqiang & Pan, Qiuhui & He, Mingfeng, 2022. "Exposure-based reputation mechanism promotes the evolution of cooperation," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    11. 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).
    12. 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.
    13. Yang, Xiqing & Zhang, Feng & Wang, Wanxiong, 2019. "Predation promotes cooperation in Prisoner’s dilemma games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 20-24.
    14. Hisashi Ohtsuki & Christoph Hauert & Erez Lieberman & Martin A. Nowak, 2006. "A simple rule for the evolution of cooperation on graphs and social networks," Nature, Nature, vol. 441(7092), pages 502-505, May.
    15. 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.
    16. Ernst Fehr & Urs Fischbacher, 2003. "The nature of human altruism," Nature, Nature, vol. 425(6960), pages 785-791, October.
    17. Du, Jinming & Wu, Ziren, 2022. "Evolutionary dynamics of cooperation in dynamic networked systems with active striving mechanism," Applied Mathematics and Computation, Elsevier, vol. 430(C).
    18. Feng Zhang & Cang Hui, 2011. "Eco-Evolutionary Feedback and the Invasion of Cooperation in Prisoner's Dilemma Games," PLOS ONE, Public Library of Science, vol. 6(11), pages 1-7, November.
    19. Xiaojie Chen & Attila Szolnoki, 2018. "Punishment and inspection for governing the commons in a feedback-evolving game," PLOS Computational Biology, Public Library of Science, vol. 14(7), pages 1-15, July.
    20. Du, Jinming, 2019. "Redistribution promotes cooperation in spatial public goods games under aspiration dynamics," Applied Mathematics and Computation, Elsevier, vol. 363(C), pages 1-1.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Zhu, Wenqiang & Pan, Qiuhui & Song, Sha & He, Mingfeng, 2023. "Effects of exposure-based reward and punishment on the evolution of cooperation in prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Du, Jinming & Wu, Ziren, 2023. "Coevolutionary dynamics of strategy and network structure with publicity mechanism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 623(C).
    2. 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).
    3. Huang, Shaoxu & Liu, Xuesong & Hu, Yuhan & Fu, Xiao, 2023. "The influence of aggressive behavior on cooperation evolution in social dilemma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 630(C).
    4. Liu, Yan-Ping & Wang, Lin & Zhang, Feng & Wang, Rui-Wu, 2020. "Diffusion sustains cooperation via forming diverse spatial patterns in prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 375(C).
    5. Xu Gong & Alan G Sanfey, 2017. "Social rank and social cooperation: Impact of social comparison processes on cooperative decision-making," PLOS ONE, Public Library of Science, vol. 12(4), pages 1-14, April.
    6. Wang, Chaoqian & Szolnoki, Attila, 2022. "Involution game with spatio-temporal heterogeneity of social resources," Applied Mathematics and Computation, Elsevier, vol. 430(C).
    7. Szolnoki, Attila & Chen, Xiaojie, 2022. "Tactical cooperation of defectors in a multi-stage public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    8. Wang, Bin & Kang, Wenjun & Sheng, Jinfang & Cheng, Lvhang & Hou, Zhengang, 2021. "Effects of trust-driven updating rule based on reputation in spatial prisoner’s dilemma games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 579(C).
    9. Du, Jinming & Wu, Ziren, 2022. "Evolutionary dynamics of cooperation in dynamic networked systems with active striving mechanism," Applied Mathematics and Computation, Elsevier, vol. 430(C).
    10. Quan, Ji & Cui, Shihui & Chen, Wenman & Wang, Xianjia, 2023. "Reputation-based probabilistic punishment on the evolution of cooperation in the spatial public goods game," Applied Mathematics and Computation, Elsevier, vol. 441(C).
    11. Gao, Liyan & Pan, Qiuhui & He, Mingfeng, 2021. "Environmental-based defensive promotes cooperation in the prisoner’s dilemma game," Applied Mathematics and Computation, Elsevier, vol. 401(C).
    12. Faqi Du & Feng Fu, 2011. "Partner Selection Shapes the Strategic and Topological Evolution of Cooperation," Dynamic Games and Applications, Springer, vol. 1(3), pages 354-369, September.
    13. Zhao, Zhengwu & Zhang, Chunyan, 2023. "The mechanisms of labor division from the perspective of task urgency and game theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 630(C).
    14. Tünde Paál & Tamás Bereczkei, 2015. "Punishment as a Means of Competition: Implications for Strong Reciprocity Theory," PLOS ONE, Public Library of Science, vol. 10(3), pages 1-14, March.
    15. Guererk, Oezguer & Rockenbach, Bettina & Wolff, Irenaeus, 2010. "The effects of punishment in dynamic public-good games," MPRA Paper 22097, University Library of Munich, Germany.
    16. Alpízar, F. & Gsottbauer, E., 2015. "Reputation and household recycling practices: Field experiments in Costa Rica," Ecological Economics, Elsevier, vol. 120(C), pages 366-375.
    17. Tetsushi Ohdaira, 2021. "Cooperation evolves by the payoff-difference-based probabilistic reward," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(11), pages 1-8, November.
    18. Quan, Ji & Zhou, Yawen & Wang, Xianjia & Yang, Jian-Bo, 2020. "Information fusion based on reputation and payoff promotes cooperation in spatial public goods game," Applied Mathematics and Computation, Elsevier, vol. 368(C).
    19. Gunnar Brandt & Agostino Merico & Björn Vollan & Achim Schlüter, 2012. "Human Adaptive Behavior in Common Pool Resource Systems," PLOS ONE, Public Library of Science, vol. 7(12), pages 1-9, December.
    20. Luhe Yang & Duoxing Yang & Lianzhong Zhang, 2022. "The Effect of Bounded Rationality on Human Cooperation with Voluntary Participation," Mathematics, MDPI, vol. 10(9), pages 1-12, May.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:438:y:2023:i:c:s0096300322006853. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.