IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v165y2022ip1s0960077922009390.html
   My bibliography  Save this article

Effects of stubborn players and noise on the evolution of cooperation in spatial prisoner’s dilemma game

Author

Listed:
  • Zhang, Hong

Abstract

The question of whether a minority of extremists can dominate the collective behavior in social dilemmas is crucial for understanding the evolution of cooperation in both human societies and animal worlds. We establish a spatial prisoner’s dilemma game model consisting of both stubborn cooperators and stubborn defectors who never change their behavior. The results reveal that a minority of stubborn players can effectively inhibit the evolution of cooperation. By introducing noise faced by stubborn players, however, we find that the inhibition of cooperation by the stubborn players can be easily canceled by the noise, which suggests a reasonable method for undermining the detrimental effects induced by extremists.

Suggested Citation

  • Zhang, Hong, 2022. "Effects of stubborn players and noise on the evolution of cooperation in spatial prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
  • Handle: RePEc:eee:chsofr:v:165:y:2022:i:p1:s0960077922009390
    DOI: 10.1016/j.chaos.2022.112760
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077922009390
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2022.112760?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, Xiaofeng & Perc, Matjaž, 2021. "Emergence of cooperation in spatial social dilemmas with expulsion," Applied Mathematics and Computation, Elsevier, vol. 402(C).
    2. Cinyabuguma, Matthias & Page, Talbot & Putterman, Louis, 2005. "Cooperation under the threat of expulsion in a public goods experiment," Journal of Public Economics, Elsevier, vol. 89(8), pages 1421-1435, August.
    3. 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.
    4. Keizo Shigaki & Zhen Wang & Jun Tanimoto & Eriko Fukuda, 2013. "Effect of Initial Fraction of Cooperators on Cooperative Behavior in Evolutionary Prisoner's Dilemma Game," PLOS ONE, Public Library of Science, vol. 8(11), pages 1-7, November.
    5. Alexander J. Stewart & Mohsen Mosleh & Marina Diakonova & Antonio A. Arechar & David G. Rand & Joshua B. Plotkin, 2019. "Information gerrymandering and undemocratic decisions," Nature, Nature, vol. 573(7772), pages 117-121, September.
    6. Iwamura, Yoshiro & Tanimoto, Jun, 2018. "Realistic decision-making processes in a vaccination game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 494(C), pages 236-241.
    7. K. M. Ariful Kabir & Jun Tanimoto & Zhen Wang, 2018. "Influence of bolstering network reciprocity in the evolutionary spatial Prisoner’s Dilemma game: a perspective," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 91(12), pages 1-10, December.
    8. 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).
    Full references (including those not matched with items on IDEAS)

    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. Zhang, Hong, 2023. "Evolution of cooperation with tag-based expulsion in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    2. Kabir, K.M. Ariful & Tanimoto, Jun, 2019. "Dynamical behaviors for vaccination can suppress infectious disease – A game theoretical approach," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 229-239.
    3. Yang, Yixin & Pan, Qiuhui & He, Mingfeng, 2023. "The influence of environment-based autonomous mobility on the evolution of cooperation," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    4. Utsumi, Shinobu & Tatsukawa, Yuichi & Tanimoto, Jun, 2022. "Does a resource-storing mechanism favor “the wealthy do not fight”?—An approach from evolutionary game theory," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    5. Song, Zhao & Guo, Hao & Jia, Danyang & Perc, Matjaž & Li, Xuelong & Wang, Zhen, 2021. "Third party interventions mitigate conflicts on interdependent networks," Applied Mathematics and Computation, Elsevier, vol. 403(C).
    6. Han, Xu & Zhao, Xiaowei & Xia, Haoxiang, 2022. "Hybrid learning promotes cooperation in the spatial prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    7. Zheng, Junjun & He, Yujie & Ren, Tianyu & Huang, Yongchao, 2022. "Evolution of cooperation in public goods games with segregated networks and periodic invasion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 596(C).
    8. Yang, Zhihu & Li, Zhi & Wang, Long, 2020. "Evolution of cooperation in a conformity-driven evolving dynamic social network," Applied Mathematics and Computation, Elsevier, vol. 379(C).
    9. Shimpei Koike & Mayuko Nakamaru & Tokinao Otaka & Hajime Shimao & Ken-Ichi Shimomura & Takehiko Yamato, 2018. "Reciprocity and exclusion in informal financial institutions: An experimental study of rotating savings and credit associations," PLOS ONE, Public Library of Science, vol. 13(8), pages 1-23, August.
    10. 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).
    11. Vivekanandhan, Gayathri & Nourian Zavareh, Mahdi & Natiq, Hayder & Nazarimehr, Fahimeh & Rajagopal, Karthikeyan & Svetec, Milan, 2022. "Investigation of vaccination game approach in spreading covid-19 epidemic model with considering the birth and death rates," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    12. José M Galán & Maciej M Łatek & Seyed M Mussavi Rizi, 2011. "Axelrod's Metanorm Games on Networks," PLOS ONE, Public Library of Science, vol. 6(5), pages 1-11, May.
    13. Shu, Gang & Du, Xia & Li, Ya, 2016. "Surrounding information consideration promotes cooperation in Prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 689-694.
    14. Takesue, Hirofumi, 2021. "Symmetry breaking in the prisoner’s dilemma on two-layer dynamic multiplex networks," Applied Mathematics and Computation, Elsevier, vol. 388(C).
    15. 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.
    16. Jianguo Ren & Yonghong Xu, 2014. "Modelling the Effects of Selection Temperature and Mutation on the Prisoner’s Dilemma Game on a Complete Oriented Star," PLOS ONE, Public Library of Science, vol. 9(10), pages 1-9, October.
    17. Xie, Yunya & Bai, Yu & Zhang, Yankun & Peng, Zhengyin, 2024. "Trust-induced cooperation under the complex interaction of networks and emotions," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    18. Trenchard, Hugh, 2015. "The peloton superorganism and protocooperative behavior," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 179-192.
    19. Kulsum, Umma & Alam, Muntasir & Kamrujjaman, Md., 2024. "Modeling and investigating the dilemma of early and delayed vaccination driven by the dynamics of imitation and aspiration," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    20. Almeida, Sergio, 2023. "Punishment credibility and cooperation in public good games," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 106(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:165:y:2022:i:p1:s0960077922009390. 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.