IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v520y2026ics009630032600007x.html

Depolarization in the coevolutionary dynamics of opinion and cooperation

Author

Listed:
  • Li, Jiayuan
  • Xu, Haojie
  • Huang, Fuying
  • Han, Wenchen
  • Huang, Changwei

Abstract

Cooperation and consensus have long been essential drivers of social development and stability. In human societies, personal opinions continually shape individual behaviors, which in turn alter the trajectory of those very opinions. To explore the complex interplay between individual decisions and collective consensus in times of opinion polarization, we propose a coevolutionary model in this study, coupling opinion dynamics with agents’ game decisions to investigate their synergistic effects. Our simulation results show that a moderate opinion coupling strength promotes heterogeneity in individual opinions, thereby fostering the emergence of both cooperation and consensus. However, when this coupling becomes excessive, it reduces opinion heterogeneity. This leads to a rise in defection under high temptation, ultimately triggering the collapse of cooperation and consensus. These results challenge the conventional wisdom that “stronger coupling always promotes cooperation and consensus,” revealing a deeper, nonlinear interdependence between human behavior and opinions. Our study thus offers a novel framework for research in collective governance and societal opinion depolarization.

Suggested Citation

  • Li, Jiayuan & Xu, Haojie & Huang, Fuying & Han, Wenchen & Huang, Changwei, 2026. "Depolarization in the coevolutionary dynamics of opinion and cooperation," Applied Mathematics and Computation, Elsevier, vol. 520(C).
  • Handle: RePEc:eee:apmaco:v:520:y:2026:i:c:s009630032600007x
    DOI: 10.1016/j.amc.2026.129955
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S009630032600007X
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.amc.2026.129955?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. repec:nas:journl:v:115:y:2018:p:30-35 is not listed on IDEAS
    2. Jiang, Dong & Dai, Qionglin & Li, Haihong & Yang, Junzhong, 2025. "Information cocooning and polarization of opinions in a mobile population," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 659(C).
    3. Guillaume Deffuant & David Neau & Frederic Amblard & Gérard Weisbuch, 2000. "Mixing beliefs among interacting agents," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 3(01n04), pages 87-98.
    4. Xu, Yuan & Liu, Shifeng & Cheng, T.C.E. & Feng, Xue & Wang, Jun & Shang, Xiaopu, 2025. "Opinion convergence and management: Opinion dynamics in interactive group decision-making," European Journal of Operational Research, Elsevier, vol. 323(3), pages 938-951.
    5. Katarzyna Sznajd-Weron & Józef Sznajd, 2000. "Opinion Evolution In Closed Community," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 11(06), pages 1157-1165.
    6. Yang, Yizhou & Li, Haihong & Gao, Shun & Dai, Qionglin & Yang, Junzhong, 2025. "Interdependent evolutionary dynamics of opinion and strategy on two-layer networks," Chaos, Solitons & Fractals, Elsevier, vol. 191(C).
    7. Wu, Yue & Li, Linjiao & Yu, Qiannan & Gan, Jiaxin & Zhang, Yi, 2023. "Strategies for reducing polarization in social networks," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    8. Min Zhan & Haiming Liang & Can Zhu & Yucheng Dong, 2021. "Opinions and Actions Dynamics Under Bounded Confidence," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 20(01), pages 321-340, January.
    9. L. Gauvin & J. Vannimenus & J.-P. Nadal, 2009. "Phase diagram of a Schelling segregation model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 70(2), pages 293-304, July.
    10. Michael Nicholas Stagnaro & Eran Amsalem, 2025. "Factual knowledge can reduce attitude polarization," Nature Communications, Nature, vol. 16(1), pages 1-10, December.
    11. Jaume Ojer & David Cárcamo & Romualdo Pastor-Satorras & Michele Starnini, 2025. "Charting multidimensional ideological polarization across demographic groups in the USA," Nature Human Behaviour, Nature, vol. 9(10), pages 2027-2037, October.
    12. Quan, Ji & Tao, Leyao & Wang, Xianjia, 2025. "Cooperation dynamics of social dilemmas on an opinion-dependent weighted network," Applied Mathematics and Computation, Elsevier, vol. 502(C).
    13. Alessandro Di Mare & Vito Latora, 2007. "Opinion Formation Models Based On Game Theory," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(09), pages 1377-1395.
    14. Huang, Changwei & Hou, Yongzhao & Han, Wenchen, 2023. "Coevolution of consensus and cooperation in evolutionary Hegselmann–Krause dilemma with the cooperation cost," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    15. Volodymyr Mnih & Koray Kavukcuoglu & David Silver & Andrei A. Rusu & Joel Veness & Marc G. Bellemare & Alex Graves & Martin Riedmiller & Andreas K. Fidjeland & Georg Ostrovski & Stig Petersen & Charle, 2015. "Human-level control through deep reinforcement learning," Nature, Nature, vol. 518(7540), pages 529-533, February.
    16. Christian Hilbe & Štěpán Šimsa & Krishnendu Chatterjee & Martin A. Nowak, 2018. "Evolution of cooperation in stochastic games," Nature, Nature, vol. 559(7713), pages 246-249, July.
    17. Huang, Changwei & Bian, Huanyu & Han, Wenchen, 2024. "Breaking the symmetry neutralizes the extremization under the repulsion and higher order interactions," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    18. Hisashi Ohtsuki & Yoh Iwasa & Martin A. Nowak, 2009. "Indirect reciprocity provides only a narrow margin of efficiency for costly punishment," Nature, Nature, vol. 457(7225), pages 79-82, January.
    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. Ding, Haixin & Xie, Li, 2024. "The applicability of positive information in negative opinion management: An attitude-laden communication perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 645(C).
    2. Huang, Changwei & Luo, Yijun & Han, Wenchen, 2023. "Cooperation and synchronization in evolutionary opinion changing rate games," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    3. Zhang, Lan & Gao, Shun, 2025. "The impact of environment-based heterogeneous bounded confidence on opinion dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 201(P2).
    4. Huang, Changwei & Bian, Huanyu & Han, Wenchen, 2024. "Breaking the symmetry neutralizes the extremization under the repulsion and higher order interactions," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    5. Catherine A. Glass & David H. Glass, 2021. "Social Influence of Competing Groups and Leaders in Opinion Dynamics," Computational Economics, Springer;Society for Computational Economics, vol. 58(3), pages 799-823, October.
    6. Shang, Lihui & Zhao, Mingming & Ai, Jun & Su, Zhan, 2021. "Opinion evolution in the Sznajd model on interdependent chains," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 565(C).
    7. Lu, Xi & Mo, Hongming & Deng, Yong, 2015. "An evidential opinion dynamics model based on heterogeneous social influential power," Chaos, Solitons & Fractals, Elsevier, vol. 73(C), pages 98-107.
    8. Huang, Changwei & Hou, Yongzhao & Han, Wenchen, 2023. "Coevolution of consensus and cooperation in evolutionary Hegselmann–Krause dilemma with the cooperation cost," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    9. María Cecilia Gimenez & Luis Reinaudi & Ana Pamela Paz-García & Paulo Marcelo Centres & Antonio José Ramirez-Pastor, 2021. "Opinion evolution in the presence of constant propaganda: homogeneous and localized cases," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(1), pages 1-11, January.
    10. Muslim, Roni & Mulya, Didi Ahmad & Akbar, Zulkaida & NQZ, Rinto Anugraha, 2024. "The impact of social noise on the majority rule model across various network topologies," Chaos, Solitons & Fractals, Elsevier, vol. 189(P2).
    11. Toth, Gabor & Galam, Serge, 2022. "Deviations from the majority: A local flip model," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    12. Tiwari, Mukesh & Yang, Xiguang & Sen, Surajit, 2021. "Modeling the nonlinear effects of opinion kinematics in elections: A simple Ising model with random field based study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 582(C).
    13. Quan, Ji & Tao, Leyao & Wang, Xianjia, 2025. "Cooperation dynamics of social dilemmas on an opinion-dependent weighted network," Applied Mathematics and Computation, Elsevier, vol. 502(C).
    14. Katarzyna Ostasiewicz & Michal H. Tyc & Piotr Goliczewski & Piotr Magnuszewski & Andrzej Radosz & Jan Sendzimir, 2006. "Integrating economic and psychological insights in binary choice models with social interactions," Papers physics/0609170, arXiv.org.
    15. Xu Chen & Xuan Di & Zechu Li, 2023. "Social Learning for Sequential Driving Dilemmas," Games, MDPI, vol. 14(3), pages 1-12, May.
    16. Karataieva, Tatiana & Koshmanenko, Volodymyr & Krawczyk, Małgorzata J. & Kułakowski, Krzysztof, 2019. "Mean field model of a game for power," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 535-547.
    17. repec:plo:pone00:0126090 is not listed on IDEAS
    18. Agnieszka Kowalska-Styczeń & Krzysztof Malarz, 2020. "Noise induced unanimity and disorder in opinion formation," PLOS ONE, Public Library of Science, vol. 15(7), pages 1-22, July.
    19. Wang, Chaoqian, 2021. "Opinion dynamics with bilateral propaganda and unilateral information blockade," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).
    20. Muslim, Roni & Wella, Sasfan A. & Nugraha, Ahmad R.T., 2022. "Phase transition in the majority rule model with the nonconformist agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 608(P2).
    21. Quanbo Zha & Gang Kou & Hengjie Zhang & Haiming Liang & Xia Chen & Cong-Cong Li & Yucheng Dong, 2020. "Opinion dynamics in finance and business: a literature review and research opportunities," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 6(1), pages 1-22, December.

    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:520:y:2026:i:c:s009630032600007x. 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.