IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v110y2018icp267-272.html
   My bibliography  Save this article

Tolerance-based punishment and cooperation in spatial public goods game

Author

Listed:
  • Zhang, Shuhua
  • Zhang, Zhipeng
  • Wu, Yu’e
  • Yan, Ming
  • Xie, Yunya

Abstract

Punishment, as a remarkable way, has been proposed to explain the emergence and persistence of cooperation in the human species. Inspired by the fact that people have a certain tolerance for free-riders before punishment, therefore, we study the effect of tolerance-based punishment on the evolution of cooperation in spatial public goods game. Cooperators punish defectors on the basis of the tolerance threshold during the evolutionary process and have to bear the relevant costs of sanction subsequently. Different from previous works, the new mechanism can reduce the frequency of punishing by controlling the tolerance for punishment. We find that this mechanism can lead to synergistic effects, and it can stabilize the circumstance of full cooperation under adverse conditions. By means of analysis of the emergence of cooperative clusters, we demonstrate that the tolerance-based punishment can promote cooperation through enhancing spatial reciprocity. In addition, the readiness of cooperation increases obviously by adjusting this kind of punishment. Our work extends the form of punishment in the evolution of spatial public goods game and the results are conducive to a better understanding of punishment.

Suggested Citation

  • Zhang, Shuhua & Zhang, Zhipeng & Wu, Yu’e & Yan, Ming & Xie, Yunya, 2018. "Tolerance-based punishment and cooperation in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 110(C), pages 267-272.
    • Handle: RePEc:eee:chsofr:v:110:y:2018:i:c:p:267-272
    DOI: 10.1016/j.chaos.2018.03.036
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077918301371
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2018.03.036?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. Cao, Xian-Bin & Du, Wen-Bo & Rong, Zhi-Hai, 2010. "The evolutionary public goods game on scale-free networks with heterogeneous investment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(6), pages 1273-1280.
    2. Xia, Chengyi & Miao, Qin & Zhang, Juanjuan, 2013. "Impact of neighborhood separation on the spatial reciprocity in the prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 51(C), pages 22-30.
    3. Francisco C. Santos & Marta D. Santos & Jorge M. Pacheco, 2008. "Social diversity promotes the emergence of cooperation in public goods games," Nature, Nature, vol. 454(7201), pages 213-216, July.
    4. 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.
    5. Ernst Fehr & Simon Gächter, 2002. "Altruistic punishment in humans," Nature, Nature, vol. 415(6868), pages 137-140, January.
    6. 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.
    7. James Andreoni & William Harbaugh & Lise Vesterlund, 2003. "The Carrot or the Stick: Rewards, Punishments, and Cooperation," American Economic Review, American Economic Association, vol. 93(3), pages 893-902, June.
    8. Gao, Jia & Li, Zhi & Cong, Rui & Wang, Long, 2012. "Tolerance-based punishment in continuous public goods game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(16), pages 4111-4120.
    9. Robin Cubitt & Michalis Drouvelis & Simon Gächter, 2011. "Framing and free riding: emotional responses and punishment in social dilemma games," Experimental Economics, Springer;Economic Science Association, vol. 14(2), pages 254-272, May.
    10. Deng, Xinyang & Zhang, Zhipeng & Deng, Yong & Liu, Qi & Chang, Shuhua, 2016. "Self-adaptive win-stay-lose-shift reference selection mechanism promotes cooperation on a square lattice," Applied Mathematics and Computation, Elsevier, vol. 284(C), pages 322-331.
    11. Simon Gachter & Ernst Fehr, 2000. "Cooperation and Punishment in Public Goods Experiments," American Economic Review, American Economic Association, vol. 90(4), pages 980-994, September.
    12. Lin Wang & Joseph T. Wu, 2018. "Characterizing the dynamics underlying global spread of epidemics," Nature Communications, Nature, vol. 9(1), pages 1-11, December.
    13. Karl Sigmund & Hannelore De Silva & Arne Traulsen & Christoph Hauert, 2010. "Social learning promotes institutions for governing the commons," Nature, Nature, vol. 466(7308), pages 861-863, August.
    14. Yang, Han-Xin & Rong, Zhihai, 2015. "Mutual punishment promotes cooperation in the spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 77(C), pages 230-234.
    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. Chen, Qiao & Chen, Tong & Yang, Ran, 2019. "Using rewards reasonably: The effects of stratified-rewards in public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 120(C), pages 67-74.
    2. Li, Cong & Xu, Hedong & Fan, Suohai, 2020. "Synergistic effects of self-optimization and imitation rules on the evolution of cooperation in the investor sharing game," Applied Mathematics and Computation, Elsevier, vol. 370(C).
    3. Dongwei Guo & Mengmeng Fu & Hai Li, 2021. "Cooperation in Social Dilemmas: A Group Game Model with Double-Layer Networks," Future Internet, MDPI, vol. 13(2), pages 1-27, January.
    4. Quan, Ji & Pu, Zhenjuan & Wang, Xianjia, 2021. "Comparison of social exclusion and punishment in promoting cooperation: Who should play the leading role?," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    5. Ren, Tianyu & Zheng, Junjun, 2021. "Evolutionary dynamics in the spatial public goods game with tolerance-based expulsion and cooperation," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    6. Zhang, Xiaoyang & Chen, Tong & Chen, Qiao & Li, Xueya, 2020. "Will you cooperate in case the payoff can be guaranteed?," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    7. Quan, Ji & Yang, Wenjun & Li, Xia & Wang, Xianjia & Yang, Jian-Bo, 2020. "Social exclusion with dynamic cost on the evolution of cooperation in spatial public goods games," Applied Mathematics and Computation, Elsevier, vol. 372(C).
    8. Xie, Kai & Liu, Xingwen & Wang, Huazhang & Jiang, Yulian, 2023. "Multi-heterogeneity public goods evolutionary game on lattice," 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. Wang, Jianwei & Yu, Fengyuan & He, Jialu & Chen, Wei & Xu, Wenshu & Dai, Wenhui & Ming, Yuexin, 2023. "Promotion, Disintegration and Remediation of group cooperation under heterogeneous distribution system based on peer rating," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    2. Chen, Qiao & Chen, Tong & Wang, Yongjie, 2016. "How the expanded crowd-funding mechanism of some southern rural areas in China affects cooperative behaviors in threshold public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 649-655.
    3. Luo-Luo Jiang & Matjaž Perc & Attila Szolnoki, 2013. "If Cooperation Is Likely Punish Mildly: Insights from Economic Experiments Based on the Snowdrift Game," PLOS ONE, Public Library of Science, vol. 8(5), pages 1-7, May.
    4. Lu, Peng & Wang, Fang, 2015. "Heterogeneity of inferring reputation probability in cooperative behaviors for the spatial prisoners’ dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 433(C), pages 367-378.
    5. Simon Gaechter, 2014. "Human Pro-Social Motivation and the Maintenance of Social Order," CESifo Working Paper Series 4729, CESifo.
    6. 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).
    7. Quan, Ji & Yang, Xiukang & Wang, Xianjia, 2018. "Spatial public goods game with continuous contributions based on Particle Swarm Optimization learning and the evolution of cooperation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 973-983.
    8. Gächter, Simon & Herrmann, Benedikt, 2011. "The limits of self-governance when cooperators get punished: Experimental evidence from urban and rural Russia," European Economic Review, Elsevier, vol. 55(2), pages 193-210, February.
    9. Daniele Nosenzo & Martin Sefton, 2012. "Promoting Cooperation: the Distribution of Reward and Punishment Power," Discussion Papers 2012-08, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    10. Xiang Wei & Peng Xu & Shuiting Du & Guanghui Yan & Huayan Pei, 2021. "Reputational preference-based payoff punishment promotes cooperation in spatial social dilemmas," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(10), pages 1-7, October.
    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. Isamu Okada, 2020. "A Review of Theoretical Studies on Indirect Reciprocity," Games, MDPI, vol. 11(3), pages 1-17, July.
    13. Wang, Mie & Kang, HongWei & Shen, Yong & Sun, XingPing & Chen, QingYi, 2021. "The role of alliance cooperation in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    14. Hiroki Ozono & Yoshio Kamijo & Kazumi Shimizu, 2017. "Does the order of punishment matter? A comparison of pool punishment systems," Working Papers 1707, Waseda University, Faculty of Political Science and Economics.
    15. Tatsuya Sasaki, 2014. "The Evolution of Cooperation Through Institutional Incentives and Optional Participation," Dynamic Games and Applications, Springer, vol. 4(3), pages 345-362, September.
    16. Lu, Peng, 2015. "Individual choice and reputation distribution of cooperative behaviors among heterogeneous groups," Chaos, Solitons & Fractals, Elsevier, vol. 77(C), pages 39-46.
    17. Jie Chen, 2022. "Carrots and sticks: new evidence in public goods games with heterogeneous groups," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 17(4), pages 1139-1169, October.
    18. Hiroki Ozono & Yoshio Kamijo & Kazumi Shimizu, 2019. "The function of peer reward and punishment in localized society: We can only “Think locally, Act locally”," Working Papers 1912, Waseda University, Faculty of Political Science and Economics.
    19. Peng Lu & Xiaoping Zheng, 2015. "Social Stratification and Cooperative Behavior in Spatial Prisoners' Dilemma Games," PLOS ONE, Public Library of Science, vol. 10(7), pages 1-16, July.
    20. Wang, Xianjia & Ding, Rui & Zhao, Jinhua & Chen, Wenman & Gu, Cuiling, 2022. "Competition of punishment and reward among inequity-averse individuals in spatial public goods games," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).

    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:chsofr:v:110:y:2018:i:c:p:267-272. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.