IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v199y2025ip1s096007792500596x.html

Dynamic asymmetric reflective decision-making supports the evolution of cooperation

Author

Listed:
  • Li, Xiaopeng
  • Zhang, Xiuli
  • Wang, Zhonglin
  • Pang, Yicheng

Abstract

Up to now, most previous studies have assumed that agents employed symmetric decision-updating mechanisms to investigate how cooperation evolved in selfish populations. However, dynamic and asymmetric decision-making update is overlooked. In this paper, we try our best to construct a reputation-driven dynamic asymmetric reflective decision-making model to fill in the blanks. Initially, each agent is randomly assigned a reputation value within the range [1,100], which will increase or decrease if it makes cooperative or defective decision in the process of evolution. Then, we distinguish agents as standouts or laymen by the pivotal reputation threshold Rc. The standouts with high-reputation are cautious in updating their decisions and therefore may think more times. In sharp contrast, the laymen with low-reputation, appear too reckless and just only think once in the similar process. Simulation results show that this simple model can support the evolution of cooperation, especially expanding the threshold for cooperation annihilation. Through qualitative micro-analysis and quantitative statistical analysis, we find that standouts with high reputations play an irreplaceable role in facilitating cooperation. The robustness test further confirms that the promoting effect of this mechanism on cooperation is independent of network structures, decision update patterns, and social dilemma types. We hope that our research can deepen the understanding and cognition of the evolution of cooperation.

Suggested Citation

  • Li, Xiaopeng & Zhang, Xiuli & Wang, Zhonglin & Pang, Yicheng, 2025. "Dynamic asymmetric reflective decision-making supports the evolution of cooperation," Chaos, Solitons & Fractals, Elsevier, vol. 199(P1).
  • Handle: RePEc:eee:chsofr:v:199:y:2025:i:p1:s096007792500596x
    DOI: 10.1016/j.chaos.2025.116583
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S096007792500596X
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2025.116583?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. Li, Xiaopeng & Hao, Gang & Zhang, Zhipeng & Xia, Chengyi, 2021. "Evolution of cooperation in heterogeneously stochastic interactions," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    2. Zhang, Zhipeng & Wu, Yu’e & Zhang, Shuhua, 2022. "Reputation-based asymmetric comparison of fitness promotes cooperation on complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 608(P1).
    3. Laura Schmid & Krishnendu Chatterjee & Christian Hilbe & Martin A. Nowak, 2021. "A unified framework of direct and indirect reciprocity," Nature Human Behaviour, Nature, vol. 5(10), pages 1292-1302, October.
    4. Gao, Shiping & Suo, Jinghui & Li, Nan, 2025. "Cooperation under endogenous punishment in the spatial public goods game," Applied Mathematics and Computation, Elsevier, vol. 489(C).
    5. Huang, Linya & Zhang, Liming & Huang, Changwei & Han, Wenchen, 2025. "Synergy effect of strategy diversity and persistence promotes cooperation," Chaos, Solitons & Fractals, Elsevier, vol. 191(C).
    6. Wang, Weijie & Xu, Zhehang & Hua, Shijia & Cui, Longqing & Zhang, Jianlin & Meng, Fanyuan, 2024. "Threshold-initiated spatial public goods games," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    7. Chaoqian Wang & Matjaž Perc & Attila Szolnoki, 2024. "Evolutionary dynamics of any multiplayer game on regular graphs," Nature Communications, Nature, vol. 15(1), pages 1-15, December.
    8. Zhang, Lan & Xie, Yuan & Huang, Changwei & Li, Haihong & Dai, Qionglin, 2020. "Heterogeneous investments induced by historical payoffs promote cooperation in spatial public goods games," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    9. Liu, Zhuo & Wang, Juan & Li, Xiaopeng, 2024. "Evolutionary dynamics of networked N-player trust games with exclusion strategy," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    10. Alex McAvoy & Christoph Hauert, 2015. "Asymmetric Evolutionary Games," PLOS Computational Biology, Public Library of Science, vol. 11(8), pages 1-26, August.
    11. Li, Xiaopeng & Han, Weiwei & Yang, Wenjun & Wang, Juan & Xia, Chengyi & Li, Hui-jia & Shi, Yong, 2022. "Impact of resource-based conditional interaction on cooperation in spatial social dilemmas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 594(C).
    12. Charlotte S. L. Rossetti & Oliver P. Hauser & Christian Hilbe, 2025. "Dynamics of cooperation in concurrent games," Nature Communications, Nature, vol. 16(1), pages 1-11, December.
    13. Ernst Fehr & Ivo Schurtenberger, 2018. "Normative foundations of human cooperation," Nature Human Behaviour, Nature, vol. 2(7), pages 458-468, July.
    14. Gaudeul, Alexia & Keser, Claudia & Müller, Stephan, 2021. "The evolution of morals under indirect reciprocity," Games and Economic Behavior, Elsevier, vol. 126(C), pages 251-277.
    15. Li, Xiaopeng & Sun, Shiwen & Xia, Chengyi, 2019. "Reputation-based adaptive adjustment of link weight among individuals promotes the cooperation in spatial social dilemmas," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 810-820.
    16. Deng, Zhilong & Deming, Mao & Dameng, Dai, 2018. "Asymmetric learning ability promotes cooperation in structured populations," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 88-91.
    17. Yang, Luhe & Zhang, Lianzhong, 2021. "Environmental feedback in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    18. Wang, Si-Yi & Liu, Yan-Ping & Zhang, Feng & Wang, Rui-Wu, 2021. "Super-rational aspiration induced strategy updating promotes cooperation in the asymmetric prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 403(C).
    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. Pi, Jinxiu & Wang, Chun & Cai, Jin & Tang, Wei, 2026. "Reputation-based strategy persistence and environmental feedback promote cooperation in spatial snowdrift games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 681(C).
    2. Fang, Zhenghui & Xu, Haojie & Xie, Chen & Yue, Xiuyu & Benko, Tina P. & Huang, Changwei, 2025. "Evolution of cooperation in multi-agent systems driven by reputation-based migration," Chaos, Solitons & Fractals, Elsevier, vol. 200(P3).
    3. Deng, Lili & Li, Weiwei & Wang, Rugen & Wang, Cheng, 2025. "The impact of reputation-based dynamic reward mechanism on the evolution of fairness," Chaos, Solitons & Fractals, Elsevier, vol. 199(P3).

    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. Xiong, Xiaojin & Yao, Yichao & Feng, Minyu & Chica, Manuel, 2024. "Adaptive payoff-driven interaction in networked snowdrift games," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    2. Pi, Jinxiu & Wang, Chun & Cai, Jin & Tang, Wei, 2026. "Reputation-based strategy persistence and environmental feedback promote cooperation in spatial snowdrift games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 681(C).
    3. 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).
    4. Li, Xiaopeng & Han, Weiwei & Yang, Wenjun & Wang, Juan & Xia, Chengyi & Li, Hui-jia & Shi, Yong, 2022. "Impact of resource-based conditional interaction on cooperation in spatial social dilemmas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 594(C).
    5. Bai, Pengzhou & Qiang, Bingzhuang & Zou, Kuan & Huang, Changwei, 2024. "Preferential selection based on adaptive attractiveness induce by reinforcement learning promotes cooperation," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    6. Xiaopeng Li & Zhonglin Wang & Jiuqiang Liu & Guihai Yu, 2023. "The Sense of Cooperation on Interdependent Networks Inspired by Influence-Based Self-Organization," Mathematics, MDPI, vol. 11(4), pages 1-16, February.
    7. Zhang, Wei, 2024. "Network reciprocity and inequality: The role of additional mixing links among social groups," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    8. 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).
    9. Sharma, Gopal & He, Zhixue & Shen, Chen & Tanimoto, Jun, 2024. "Asymmetric population promotes and jeopardizes cooperation in spatial prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 187(C).
    10. 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).
    11. Zhou, Chen & Zhu, Yuying & Zhao, Dawei & Xia, Chengyi, 2024. "An evolutionary trust game model with group reputation within the asymmetric population," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    12. Dai, Jianhua & Dong, Qiutong, 2025. "Fitness integrates inter-individual evaluation can solve social dilemmas," Chaos, Solitons & Fractals, Elsevier, vol. 201(P1).
    13. Li, Dandan & Wu, Qiongzi & Han, Dun, 2025. "On evolution of agent behavior under limited gaming time with reinforcement learning," Chaos, Solitons & Fractals, Elsevier, vol. 194(C).
    14. Yang, Shike & Hu, Xincheng & Shi, Haobin & Chen, Qiang & Ma, Fei, 2026. "Cooperation dynamics in multilayer networks under recommendation and vigilance mechanisms," Chaos, Solitons & Fractals, Elsevier, vol. 202(P1).
    15. Chen, Qin & Pan, Qiuhui & He, Mingfeng, 2022. "The influence of quasi-cooperative strategy on social dilemma evolution," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    16. Zhu, Xiaochen, 2023. "The dynamic edge environment under interactive diversity is a double-edged sword," Applied Mathematics and Computation, Elsevier, vol. 436(C).
    17. Xie, Meiling & Zeng, Ziyan & Li, Yuhan & Feng, Minyu, 2024. "Adherence strategy based on evolutionary games in epidemic spreading," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    18. Quan, Ji & Yang, Haoliang & Wang, Xianjia, 2025. "Cooperation dynamics in a two-state spatial prisoner's dilemma game with reputation-driven transitions," Chaos, Solitons & Fractals, Elsevier, vol. 197(C).
    19. Zhou, Mengyu & Liu, Xingwen & Liu, Yaojun & Hu, Qi & Shu, Feng, 2025. "Analysis and optimization control of demand response via networked evolutionary game with memory," Chaos, Solitons & Fractals, Elsevier, vol. 199(P1).
    20. Ueda, Masahiko, 2026. "Properties of zero-determinant strategies in multichannel games," Applied Mathematics and Computation, Elsevier, vol. 514(C).

    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:chsofr:v:199:y:2025:i:p1:s096007792500596x. 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.