IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v665y2025ics0378437125001414.html
   My bibliography  Save this article

The effects of dynamic peer pressure on the evolution of cooperation in complex networks

Author

Listed:
  • Li, Lin
  • Lv, Jingyu
  • Ruan, Jing
  • Ma, Lili

Abstract

In collective life, individuals find it difficult to avoid being influenced by their environment. In the spatial evolutionary game, the surrounding peers constitute the local environment of individuals. The difference in strategy from peers can make individuals feel pressure, which affects the evolution of cooperation by altering individuals’ behavioural decision-making. However, previous studies on the effects of peer pressure on cooperation have primarily focused on oversimplified network structures and assumed constant pressure sensitivity among all players, which has limited our understanding of the impact of peer pressure on the evolution of cooperation in more complex environments. This paper presents an evolutionary game model in which individual’s sensitivity to pressure is different from each other and dynamically adjusted with the change of strategies among the surroundings, capturing a more realistic portrayal of social influence and psychological factors. We examine how the dynamic sensitivities and the intensity of peer pressure affect the evolutionary dynamics by conducting the simulations on both Watts-Strogatz (WS) network and Barabási-Albert (BA) network. Our findings reveal that peer pressure with dynamic sensitivity exhibits completely different effects on cooperation for the WS and BA network, that is, it can greatly enhance cooperation on the WS network while inhibiting cooperation on the BA network. Besides, a lower level of pressure intensity can be more conductive to the evolution of cooperation, whether in WS network or BA network.

Suggested Citation

  • Li, Lin & Lv, Jingyu & Ruan, Jing & Ma, Lili, 2025. "The effects of dynamic peer pressure on the evolution of cooperation in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 665(C).
  • Handle: RePEc:eee:phsmap:v:665:y:2025:i:c:s0378437125001414
    DOI: 10.1016/j.physa.2025.130489
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437125001414
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

    File URL: https://libkey.io/10.1016/j.physa.2025.130489?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. 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.
    2. Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January.
    3. 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).
    4. Lewis, C.E. & Lewis, M.A., 1984. "Peer pressure and risk-taking behaviors in children," American Journal of Public Health, American Public Health Association, vol. 74(6), pages 580-584.
    5. Kandel, Eugene & Lazear, Edward P, 1992. "Peer Pressure and Partnerships," Journal of Political Economy, University of Chicago Press, vol. 100(4), pages 801-817, August.
    6. Zhang, Qianwei & Tang, Rui & Lu, Yilun & Wang, Xinyu, 2024. "The impact of anxiety on cooperative behavior: A network evolutionary game theory approach," Applied Mathematics and Computation, Elsevier, vol. 474(C).
    7. Szolnoki, Attila & Perc, Matjaž & Danku, Zsuzsa, 2008. "Towards effective payoffs in the prisoner’s dilemma game on scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(8), pages 2075-2082.
    8. Niu, Zhenxi & Xu, Jiwei & Dai, Dameng & Liang, Tairan & Mao, Deming & Zhao, Dawei, 2018. "Rational conformity behavior can promote cooperation in the prisoner's dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 112(C), pages 92-96.
    9. Barron, John M & Gjerde, Kathy Paulson, 1997. "Peer Pressure in an Agency Relationship," Journal of Labor Economics, University of Chicago Press, vol. 15(2), pages 234-254, April.
    10. Marco Tomassini & Enea Pestelacci & Leslie Luthi, 2007. "Social Dilemmas And Cooperation In Complex Networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(07), pages 1173-1185.
    11. Oechssler, Jorg, 2002. "Cooperation as a result of learning with aspiration levels," Journal of Economic Behavior & Organization, Elsevier, vol. 49(3), pages 405-409, November.
    12. 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.
    13. Qing Chang & Yang Zhang, 2021. "Peer pressure in extortion game can resolve social dilemma," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(5), pages 1-7, May.
    14. Challet, D. & Zhang, Y.-C., 1997. "Emergence of cooperation and organization in an evolutionary game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 246(3), pages 407-418.
    15. Gao, Liyan & Pan, Qiuhui & He, Mingfeng, 2023. "Impact of peer pressure on the evolution of cooperation in prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    16. Dirk Helbing & Attila Szolnoki & Matjaž Perc & György Szabó, 2010. "Evolutionary Establishment of Moral and Double Moral Standards through Spatial Interactions," PLOS Computational Biology, Public Library of Science, vol. 6(4), pages 1-9, April.
    17. Cui, Peng-Bi & Wu, Zhi-Xi, 2013. "Impact of conformity on the evolution of cooperation in the prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(6), pages 1500-1509.
    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. Jorge Peña & Yannick Rochat, 2012. "Bipartite Graphs as Models of Population Structures in Evolutionary Multiplayer Games," PLOS ONE, Public Library of Science, vol. 7(9), pages 1-13, September.
    2. Yongkui Liu & Xiaojie Chen & Lin Zhang & Long Wang & Matjaž Perc, 2012. "Win-Stay-Lose-Learn Promotes Cooperation in the Spatial Prisoner's Dilemma Game," PLOS ONE, Public Library of Science, vol. 7(2), pages 1-8, February.
    3. Wes Maciejewski & Feng Fu & Christoph Hauert, 2014. "Evolutionary Game Dynamics in Populations with Heterogenous Structures," PLOS Computational Biology, Public Library of Science, vol. 10(4), pages 1-16, April.
    4. Liang, Rizhou & Zhang, Jiqiang & Zheng, Guozhong & Chen, Li, 2021. "Social hierarchy promotes the cooperation prevalence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 567(C).
    5. Lv, Shaojie & Wang, Xianjia, 2020. "The impact of heterogeneous investments on the evolution of cooperation in public goods game with exclusion," Applied Mathematics and Computation, Elsevier, vol. 372(C).
    6. Yu, Fengyuan & Wang, Jianwei & He, Jialu, 2022. "Inequal dependence on members stabilizes cooperation in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
    7. Hong, Lijun & Geng, Yini & Du, Chunpeng & Shen, Chen & Shi, Lei, 2021. "Average payoff-driven or imitation? A new evidence from evolutionary game theory in finite populations," Applied Mathematics and Computation, Elsevier, vol. 394(C).
    8. Yan, Zeyuan & Zhao, Hui & Liang, Shu & Li, Li & Song, Yanjie, 2024. "Inter-layer feedback mechanism with reinforcement learning boosts the evolution of cooperation in multilayer network," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    9. Su, Qi & Li, Aming & Wang, Long, 2017. "Spatial structure favors cooperative behavior in the snowdrift game with multiple interactive dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 299-306.
    10. Huang, Yongchao & Ren, Tianyu & Zheng, Junjun & Liu, Wenyi & Zhang, Mengshu, 2023. "Evolution of cooperation in public goods games with dynamic resource allocation: A fairness preference perspective," Applied Mathematics and Computation, Elsevier, vol. 445(C).
    11. Flávio L Pinheiro & Jorge M Pacheco & Francisco C Santos, 2012. "From Local to Global Dilemmas in Social Networks," PLOS ONE, Public Library of Science, vol. 7(2), pages 1-6, February.
    12. Ye, Ye & Hang, Xiao Rong & Koh, Jin Ming & Miszczak, Jarosław Adam & Cheong, Kang Hao & Xie, Neng-gang, 2020. "Passive network evolution promotes group welfare in complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    13. Yanlong Zhang, 2015. "Partially and Wholly Overlapping Networks: The Evolutionary Dynamics of Social Dilemmas on Social Networks," Computational Economics, Springer;Society for Computational Economics, vol. 46(1), pages 1-14, June.
    14. Li, Pei & Duan, Haibin, 2015. "Evolution of cooperation driven by incremental learning," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 14-22.
    15. Presbitero, Alva & Monterola, Christopher, 2018. "Challenging the evolution of social cooperation in a community governed by central control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 511(C), pages 378-388.
    16. Ye, Wenxing & Wen, Luliang & Fan, Suohai, 2025. "Memory-based prisoner’s dilemma game with payoff-driven preferential selection," Chaos, Solitons & Fractals, Elsevier, vol. 192(C).
    17. Feng, Kehuan & Han, Songlin & Feng, Minyu & Szolnoki, Attila, 2024. "An evolutionary game with reputation-based imitation-mutation dynamics," Applied Mathematics and Computation, Elsevier, vol. 472(C).
    18. Liu, Yongkui & Chen, Xiaojie & Zhang, Lin & Tao, Fei & Wang, Long, 2012. "Does migration cost influence cooperation among success-driven individuals?," Chaos, Solitons & Fractals, Elsevier, vol. 45(11), pages 1301-1308.
    19. Xie, Kai & Szolnoki, Attila, 2025. "Reputation in public goods cooperation under double Q-learning protocol," Chaos, Solitons & Fractals, Elsevier, vol. 196(C).
    20. Ye, Ye & Xie, Neng-gang & Wang, Lu & Cen, Yu-wan, 2013. "The multi-agent Parrondo’s model based on the network evolution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(21), pages 5414-5421.

    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:phsmap:v:665:y:2025:i:c:s0378437125001414. 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: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.