IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v501y2025ics0096300325001997.html
   My bibliography  Save this article

The influence of reputation levels and disparities on the evolution of cooperation in spatial prisoner's dilemma game

Author

Listed:
  • Bi, Yan
  • Hao, Qingyi
  • Liu, Kui

Abstract

Benefiting from the development of information science and technology, more and more scholars use various complex networks as evolutionary carriers to research evolutionary game theory, which leads to the gradual unraveling of many evolutionary mechanisms. The reputation mechanism is particularly interesting and important among many mechanisms. Therefore, it has received widespread attention and research from related researchers, which is also mainly attributed to the important effect of reputation in promoting cooperation of evolution system. However, until now, the role of reputation mechanism in facilitating the evolution of cooperation has not been completely accurately revealed. In reality, the mechanism of mutual imitation of behaviors between interactive individuals based on reputation factors is still an interesting and unsolved problem. In this work, a novel evolutionary mechanism is proposed based on reputation levels and disparities, in which the evolutionary strategy of imitator is influenced by the reputation disparities of the imitated and the imitator. Moreover, based on the proposed evolutionary mechanism, this paper also explores the influence of reputation levels on the evolution of cooperation. Monte Carlo simulations verify that the proposed evolutionary mechanism is easier to promote cooperation of evolution system, especially when the reputation weight factor is larger, or the number of reputation levels is fewer, compared with the traditional PDG model. The study also indirectly reveals that streamlining the institutions is easy to promote social harmony and development.

Suggested Citation

  • Bi, Yan & Hao, Qingyi & Liu, Kui, 2025. "The influence of reputation levels and disparities on the evolution of cooperation in spatial prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 501(C).
    • Handle: RePEc:eee:apmaco:v:501:y:2025:i:c:s0096300325001997
    DOI: 10.1016/j.amc.2025.129473
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300325001997
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2025.129473?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

    for a different version of it.

    References listed on IDEAS

    as
    1. Lei Shi & Ivan Romić & Yongjuan Ma & Zhen Wang & Boris Podobnik & H. Eugene Stanley & Petter Holme & Marko Jusup, 2020. "Freedom of choice adds value to public goods," Proceedings of the National Academy of Sciences, Proceedings of the National Academy of Sciences, vol. 117(30), pages 17516-17521, July.
    2. 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).
    3. Li, Ya & Chen, Shanxiong & Niu, Ben, 2018. "Reward depending on public funds stimulates cooperation in spatial prisoner’s dilemma games," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 38-45.
    4. 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.
    5. Zhang, Qianwei & Liu, Jiaqi & Zhang, Xinran, 2024. "Reputation-based disconnection-reconnection mechanism in Prisoner's Dilemma Game within dynamic networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 650(C).
    6. Zhenhua Pei & Baokui Wang & Jinming Du, 2016. "Effects of income redistribution on the evolution of cooperation in spatial public goods games," Papers 1611.01531, arXiv.org.
    7. John M. McNamara & Zoltan Barta & Alasdair I. Houston, 2004. "Variation in behaviour promotes cooperation in the Prisoner's Dilemma game," Nature, Nature, vol. 428(6984), pages 745-748, April.
    8. 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.
    9. repec:nas:journl:v:115:y:2018:p:30-35 is not listed on IDEAS
    10. Zhang, Yanling & Yang, Shuo & Chen, Xiaojie & Bai, Yanbing & Xie, Guangming, 2023. "Reputation update of responders efficiently promotes the evolution of fairness in the ultimatum game," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    11. 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).
    12. Valerio Capraro & Roberto Di Paolo & Matjaz Perc & Veronica Pizziol, 2024. "Language-based game theory in the age of artificial intelligence," Papers 2403.08944, arXiv.org.
    13. Matjaž Perc & Zhen Wang, 2010. "Heterogeneous Aspirations Promote Cooperation in the Prisoner's Dilemma Game," PLOS ONE, Public Library of Science, vol. 5(12), pages 1-8, December.
    14. Liu, Yaojun & Liu, Xingwen, 2024. "Promotion of cooperation in evolutionary snowdrift game with heterogeneous memories," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 633(C).
    15. Geng, Yini & Shen, Chen & Hu, Kaipeng & Shi, Lei, 2018. "Impact of punishment on the evolution of cooperation in spatial prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 540-545.
    16. Christoph Hauert & Michael Doebeli, 2004. "Spatial structure often inhibits the evolution of cooperation in the snowdrift game," Nature, Nature, vol. 428(6983), pages 643-646, April.
    17. Wang, Jianwei & He, Jialu & Yu, Fengyuan, 2021. "Heterogeneity of reputation increment driven by individual influence promotes cooperation in spatial social dilemma," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    18. 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).
    19. A. Szolnoki & M. Perc, 2009. "Promoting cooperation in social dilemmas via simple coevolutionary rules," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 67(3), pages 337-344, February.
    20. Miyaji, Kohei & Tanimoto, Jun, 2021. "A co-evolutionary model combined mixed-strategy and network adaptation by severing disassortative neighbors promotes cooperation in prisoner’s dilemma games," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    21. Yang, Han-Xin & Chen, Xiaojie, 2018. "Promoting cooperation by punishing minority," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 460-466.
    22. Bi, Yan & Hao, Qingyi & Wu, Wenjun, 2024. "The warning effect of persistent defection strategy promotes cooperation in spatial prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 189(P1).
    23. Bi, Yan & Yang, Hui, 2023. "Based on reputation consistent strategy times promotes cooperation in spatial prisoner’s dilemma game," Applied Mathematics and Computation, Elsevier, vol. 444(C).
    24. Liu, Yongkui & Li, Zhi & Chen, Xiaojie & Wang, Long, 2010. "Memory-based prisoner’s dilemma on square lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(12), pages 2390-2396.
    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. Bi, Yan & Hao, Qingyi & Wu, Wenjun, 2024. "The warning effect of persistent defection strategy promotes cooperation in spatial prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 189(P1).
    2. Bi, Yan & Yang, Hui, 2023. "Based on reputation consistent strategy times promotes cooperation in spatial prisoner’s dilemma game," Applied Mathematics and Computation, Elsevier, vol. 444(C).
    3. Haodong Niu & Keyu Li & Juan Wang, 2023. "Paid Access to Information Promotes the Emergence of Cooperation in the Spatial Prisoner’s Dilemma," Mathematics, MDPI, vol. 11(4), pages 1-15, February.
    4. Liu, Chengwei & Wang, Juan & Li, Xiaopeng & Xia, Chengyi, 2020. "The link weight adjustment considering historical strategy promotes the cooperation in the spatial prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 554(C).
    5. Jin, Jiahua & Chu, Chen & Shen, Chen & Guo, Hao & Geng, Yini & Jia, Danyang & Shi, Lei, 2018. "Heterogeneous fitness promotes cooperation in the spatial prisoner's dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 106(C), pages 141-146.
    6. Zhang, Xinran & Zhang, Qianwei & Liu, Jiaqi, 2025. "The selective imitation based on influence mechanism in evolutionary dynamics of the Prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 661(C).
    7. Sun, Xingping & Zhu, Haoran & Kang, Hongwei & Bi, Yanzheng & Shen, Yong & Chen, Qingyi, 2025. "The impact of memory reputation-induced tax and reward allocation on spatial public goods games," Chaos, Solitons & Fractals, Elsevier, vol. 195(C).
    8. Shu, Feng & Liu, Yaojun & Liu, Xingwen & Zhou, Xiaobing, 2019. "Memory-based conformity enhances cooperation in social dilemmas," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 480-490.
    9. Zhou, Meng & Yang, Yanlong & Xiang, Shuwen, 2025. "Effect of community learning mechanism on cooperation in conflict societies," Chaos, Solitons & Fractals, Elsevier, vol. 192(C).
    10. Qian, Jia-Li & Zhou, Yin-Xiang & Hao, Qing-Yi, 2024. "The emergence of cooperative behavior based on random payoff and heterogeneity of concerning social image," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    11. Zhu, Xiaochen, 2023. "The dynamic edge environment under interactive diversity is a double-edged sword," Applied Mathematics and Computation, Elsevier, vol. 436(C).
    12. Xie, Kai & Liu, Yaojun & Liu, Tingjin, 2024. "Unveiling the masks: Deception and reputation in spatial prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    13. Ye, Tianbo & Li, Pengcheng & Fan, Suohai, 2024. "Preferential selection based on aspiration and memory in spatial evolutionary prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 647(C).
    14. Huang, Chaochao & Wang, Chaoqian, 2024. "Memory-based involution dilemma on square lattices," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    15. Wang, Chaoqian & Lin, Zongzhe & Rothman, Dale S., 2022. "Public goods game on coevolving networks driven by the similarity and difference of payoff," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    16. Zhang, Qianwei & Liu, Jiaqi & Zhang, Xinran, 2024. "Reputation-based disconnection-reconnection mechanism in Prisoner's Dilemma Game within dynamic networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 650(C).
    17. 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.
    18. 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).
    19. Lv, Ran & Qian, Jia-Li & Hao, Qing-Yi & Wu, Chao-Yun & Guo, Ning & Ling, Xiang, 2023. "The impact of current and historical reputation with non-uniform change on cooperation in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    20. Zhou, Tianwei & Ding, Shuai & Fan, Wenjuan & Wang, Hao, 2016. "An improved public goods game model with reputation effect on the spatial lattices," Chaos, Solitons & Fractals, Elsevier, vol. 93(C), pages 130-135.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    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:501:y:2025:i:c:s0096300325001997. 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.