IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v368y2020ics0096300319307908.html
   My bibliography  Save this article

Conditional neutral punishment promotes cooperation in the spatial prisoner's dilemma game

Author

Listed:
  • Song, Qun
  • Cao, Zhaoheng
  • Tao, Rui
  • Jiang, Wei
  • Liu, Chen
  • Liu, Jinzhuo

Abstract

Punishment plays an important role in promoting cooperation. In real society, individuals tend to punish other players based on certain conditions rather than punish them directly. Thus, we introduce a conditional neutral punishment mechanism and study how this mechanism affects the evolution of cooperation. Namely, an individual can punish his/her neighbors with the opposite strategy when his/her payoff is lower than the average payoff of his/her neighbors. The simulation results show that this mechanism promotes cooperation effectively even with antisocial punishment. By adopting such a mechanism, cooperative punishers form shields to protect cooperators inside, while defective punishers hide behind defectors without punishing anyone.

Suggested Citation

  • Song, Qun & Cao, Zhaoheng & Tao, Rui & Jiang, Wei & Liu, Chen & Liu, Jinzhuo, 2020. "Conditional neutral punishment promotes cooperation in the spatial prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 368(C).
    • Handle: RePEc:eee:apmaco:v:368:y:2020:i:c:s0096300319307908
    DOI: 10.1016/j.amc.2019.124798
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300319307908
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2019.124798?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. Chen Chu & Jinzhuo Liu & Chen Shen & Jiahua Jin & Lei Shi, 2017. "Win-stay-lose-learn promotes cooperation in the prisoner’s dilemma game with voluntary participation," PLOS ONE, Public Library of Science, vol. 12(2), pages 1-8, February.
    2. Huang, Keke & Liu, Yishun & Zhang, Yichi & Yang, Chunhua & Wang, Zhen, 2018. "Understanding cooperative behavior of agents with heterogeneous perceptions in dynamic networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 234-240.
    3. Liu, Jinzhuo & Meng, Haoran & Wang, Wei & Xie, Zhongwen & Yu, Qian, 2019. "Evolution of cooperation on independent networks: The influence of asymmetric information sharing updating mechanism," Applied Mathematics and Computation, Elsevier, vol. 340(C), pages 234-241.
    4. Ritzberger, Klaus & Weibull, Jorgen W, 1995. "Evolutionary Selection in Normal-Form Games," Econometrica, Econometric Society, vol. 63(6), pages 1371-1399, November.
    5. Liu, Chen & Shi, Juan & Li, Tong & Liu, Jinzhuo, 2019. "Aspiration driven coevolution resolves social dilemmas in networks," Applied Mathematics and Computation, Elsevier, vol. 342(C), pages 247-254.
    6. Chen Shen & Chen Chu & Yini Geng & Jiahua Jin & Fei Chen & Lei Shi, 2018. "Cooperation enhanced by the coevolution of teaching activity in evolutionary prisoner's dilemma games with voluntary participation," PLOS ONE, Public Library of Science, vol. 13(2), pages 1-8, February.
    7. Matsuzawa, Ryo & Tanimoto, Jun, 2018. "Sanctions triggered by jealousy help promote the cooperation in spatial prisoner's dilemma games," Chaos, Solitons & Fractals, Elsevier, vol. 110(C), pages 239-243.
    8. Alam, Muntasir & Nagashima, Keisuke & Tanimoto, Jun, 2018. "Various error settings bring different noise-driven effects on network reciprocity in spatial prisoner's dilemma," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 338-346.
    9. Huang, Keke & Chen, Xiaofang & Yu, Zhaofei & Yang, Chunhua & Gui, Weihua, 2018. "Heterogeneous cooperative belief for social dilemma in multi-agent system," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 572-579.
    10. Alam, Muntasir & Kuga, Kazuki & Tanimoto, Jun, 2019. "Three-strategy and four-strategy model of vaccination game introducing an intermediate protecting measure," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 408-422.
    11. Martin A. Nowak & Karl Sigmund, 1998. "Evolution of indirect reciprocity by image scoring," Nature, Nature, vol. 393(6685), pages 573-577, June.
    12. Martin A. Nowak & Akira Sasaki & Christine Taylor & Drew Fudenberg, 2004. "Emergence of cooperation and evolutionary stability in finite populations," Nature, Nature, vol. 428(6983), pages 646-650, April.
    13. M.A. Nowak & K. Sigmund, 1998. "Evolution of Indirect Reciprocity by Image Scoring/ The Dynamics of Indirect Reciprocity," Working Papers ir98040, International Institute for Applied Systems Analysis.
    14. Shen, Chen & Lu, Jun & Shi, Lei, 2016. "Does coevolution setup promote cooperation in spatial prisoner's dilemma game?," Applied Mathematics and Computation, Elsevier, vol. 290(C), pages 201-207.
    15. M. Droz & J. Szwabiński & G. Szabó, 2009. "Motion of influential players can support cooperation in Prisoner’s Dilemma," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 71(4), pages 579-585, October.
    16. Alam, Muntasir & Tanaka, Masaki & Tanimoto, Jun, 2019. "A game theoretic approach to discuss the positive secondary effect of vaccination scheme in an infinite and well-mixed population," Chaos, Solitons & Fractals, Elsevier, vol. 125(C), pages 201-213.
    17. David G. Rand & Martin A. Nowak, 2011. "The evolution of antisocial punishment in optional public goods games," Nature Communications, Nature, vol. 2(1), pages 1-7, September.
    18. Chu, Chen & Liu, Jinzhuo & Shen, Chen & Jin, Jiahua & Tang, Yunxuan & Shi, Lei, 2017. "Coevolution of game strategy and link weight promotes cooperation in structured population," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 28-32.
    19. Zhang, Haifeng & Small, Michael & Yang, Hanxin & Wang, Binghong, 2010. "Adjusting learning motivation to promote cooperation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4734-4739.
    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. 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. Lu, Shounan & Zhu, Ge & Dai, Jianhua, 2023. "Promoting effect of adaptive interaction based on random neighbors to cooperation in the spatial prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 450(C).
    3. Li, Shulan & Hong, Lijun & Geng, Yini & Shen, Chen, 2020. "Popularity-driven fitness calculation promotes cooperation in spatial prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    4. Gao, Liyan & Pan, Qiuhui & He, Mingfeng, 2022. "Advanced defensive cooperators promote cooperation in the prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    5. Feng, Sinan & Liu, Xuesong, 2023. "Effects of the limited incentive pool on cooperation evolution in public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    6. 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).
    7. Deng, Zheng-Hong & Wang, Zi-Ren & Wang, Huan-Bo & Xu, Lin, 2021. "The evolution of cooperation in multi-games with popularity-driven fitness calculation," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    8. Locodi, A.M. & O’Riordan, C., 2023. "The effects of varying game payoffs and lattice dimensionality on Prisoner’s Dilemma games," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    9. Gao, Liyan & Pan, Qiuhui & He, Mingfeng, 2021. "Effects of defensive cooperation strategy on the evolution of cooperation in social dilemma," Applied Mathematics and Computation, Elsevier, vol. 399(C).
    10. Quan, Ji & Yu, Junyu & Li, Xia & Wang, Xianjia, 2023. "Conditional switching between social excluders and loners promotes cooperation in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    11. Lu, Shounan & Dai, Jianhua & Zhu, Ge & Guo, Li, 2023. "Investigating the effectiveness of interaction-efficiency-driven strategy updating under progressive-interaction for the evolution of the 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. Shi, Juan & Hu, Die & Tao, Rui & Peng, Yunchen & Li, Yong & Liu, Jinzhuo, 2021. "Interaction between populations promotes cooperation in voluntary prisoner's dilemma," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    2. Deng, Zhenghong & Wang, Shengnan & Gu, Zhiyang & Xu, Juwei & Song, Qun, 2017. "Heterogeneous preference selection promotes cooperation in spatial prisoners’ dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 100(C), pages 20-23.
    3. Wang, Jianwei & Wang, Rong & Yu, Fengyuan & Wang, Ziwei & Li, Qiaochu, 2020. "Learning continuous and consistent strategy promotes cooperation in prisoner’s dilemma game with mixed strategy," Applied Mathematics and Computation, Elsevier, vol. 370(C).
    4. Jinzhuo Liu & Mao Peng & Yunchen Peng & Yong Li & Chen Chu & Xiaoyu Li & Qing Liu, 2021. "Effects of inequality on a spatial evolutionary public goods game," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(8), pages 1-7, August.
    5. Liu, Jinzhuo & Meng, Haoran & Wang, Wei & Xie, Zhongwen & Yu, Qian, 2019. "Evolution of cooperation on independent networks: The influence of asymmetric information sharing updating mechanism," Applied Mathematics and Computation, Elsevier, vol. 340(C), pages 234-241.
    6. Wang, Jianwei & Yu, Fengyuan & Zhao, Jingyi & Li, Fanfeng & He, Jialu, 2021. "How costly altruism survives? The rescue of both cooperation and voluntary sharing," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    7. Manapat, Michael L. & Nowak, Martin A. & Rand, David G., 2013. "Information, irrationality, and the evolution of trust," Journal of Economic Behavior & Organization, Elsevier, vol. 90(S), pages 57-75.
    8. Du, Faqi & Fu, Feng, 2013. "Quantifying the impact of noise on macroscopic organization of cooperation in spatial games," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 35-44.
    9. Huang, Keke & Liu, Yishun & Zhang, Yichi & Yang, Chunhua & Wang, Zhen, 2018. "Understanding cooperative behavior of agents with heterogeneous perceptions in dynamic networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 234-240.
    10. Genki Ichinose & Masaya Saito & Shinsuke Suzuki, 2013. "Collective Chasing Behavior between Cooperators and Defectors in the Spatial Prisoner’s Dilemma," PLOS ONE, Public Library of Science, vol. 8(7), pages 1-10, July.
    11. Jin, Jiahua & Shen, Chen & Chu, Chen & Shi, Lei, 2017. "Incorporating dominant environment into individual fitness promotes cooperation in the spatial prisoners' dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 96(C), pages 70-75.
    12. Wang, Zhen & Chen, Tong & Wang, Yongjie, 2017. "Leadership by example promotes the emergence of cooperation in public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 101(C), pages 100-105.
    13. Gao, Lei & Li, Yaotang & Wang, Zhen & Wang, Rui-Wu, 2022. "Asymmetric strategy setup solve the Prisoner’s Dilemma of the evolution of mutualism," Applied Mathematics and Computation, Elsevier, vol. 412(C).
    14. Si, Zehua & He, Zhixue & Shen, Chen & Tanimoto, Jun, 2023. "Speculative defectors as unexpected insulators of super cooperators in structured populations," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    15. Li, Yan & Ye, Hang & Zhang, Hong, 2016. "Evolution of cooperation driven by social-welfare-based migration," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 445(C), pages 48-56.
    16. Hammerstein, Peter & Leimar, Olof, 2015. "Evolutionary Game Theory in Biology," Handbook of Game Theory with Economic Applications,, Elsevier.
    17. Chang, Shuhua & Zhang, Zhipeng & Wu, Yu’e & Xie, Yunya, 2018. "Cooperation is enhanced by inhomogeneous inertia in spatial prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 419-425.
    18. Zhang, Lulu & Pan, Qiuhui & He, Mingfeng, 2022. "The influence of donation behavior on the evolution of cooperation in social dilemma," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    19. Chen, Qiao & Chen, Tong & Wang, Yongjie, 2019. "Cleverly handling the donation information can promote cooperation in public goods game," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 363-373.
    20. Egas, Martijn & Riedl, Arno, 2005. "The Economics of Altruistic Punishment and the Demise of Cooperation," IZA Discussion Papers 1646, Institute of Labor Economics (IZA).

    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:368:y:2020:i:c:s0096300319307908. 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.