IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v660y2025ics0378437125000160.html

Effects of third-order reputation mechanism on the dynamic evolution of cooperation in mixed-games

Author

Listed:
  • Ge, Xin
  • Yang, Jian
  • He, Xi
  • Liu, Yue
  • Zhao, YiXiang
  • Li, Lili

Abstract

Understanding large-scale cooperative behavior among intelligent individuals is one of the greatest challenges faced by scholars in the 21st century. Real-world complexities shape decision-making, influenced by economic and cultural differences, resulting in inconsistent game preferences. Moreover, rational individuals possess the ability to proactively avoid risks. Therefore, the theoretical framework of mixed-games supplemented with an “isolation strategy” is particularly apt for studying the evolution of cooperative behaviors. To delve deeper into the reputation’s role in evolutionary game dynamics among intelligent individuals, this study proposes a third-order reputation mechanism for comprehensive and objective evaluation of behavior strategies. Under this mechanism, when assessing the merits of an individual’s actions, it is essential to consider not only their own behavior strategy but also the external environment, namely, the reputation of both parties in the game. Simulation results indicate that introducing the third-order reputation mechanism in mixed-game evolution significantly promotes cooperative behavior emergence and prosperity.

Suggested Citation

  • Ge, Xin & Yang, Jian & He, Xi & Liu, Yue & Zhao, YiXiang & Li, Lili, 2025. "Effects of third-order reputation mechanism on the dynamic evolution of cooperation in mixed-games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 660(C).
    • Handle: RePEc:eee:phsmap:v:660:y:2025:i:c:s0378437125000160
    DOI: 10.1016/j.physa.2025.130364
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437125000160
    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.2025.130364?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. Guo, Hao & Chu, Chen & Shen, Chen & Shi, Lei, 2018. "Reputation-based coevolution of link weights promotes cooperation in spatial prisoner's dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 265-268.
    2. Wang, Juan & Li, Chao & Xia, Chengyi, 2018. "Improved centrality indicators to characterize the nodal spreading capability in complex networks," Applied Mathematics and Computation, Elsevier, vol. 334(C), pages 388-400.
    3. 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.
    4. Wu, Yu’e & Zhang, Zhipeng & Wang, Xinyu & Chang, Shuhua, 2019. "Impact of probabilistic incentives on the evolution of cooperation in complex topologies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 307-314.
    5. Jian, Qing & Li, Xiaopeng & Wang, Juan & Xia, Chengyi, 2021. "Impact of reputation assortment on tag-mediated altruistic behaviors in the spatial lattice," Applied Mathematics and Computation, Elsevier, vol. 396(C).
    6. repec:nas:journl:v:115:y:2018:p:12241-12246 is not listed on IDEAS
    7. Martin A. Nowak & Karl Sigmund, 1998. "Evolution of indirect reciprocity by image scoring," Nature, Nature, vol. 393(6685), pages 573-577, June.
    8. Zhang, Liming & Li, Haihong & Dai, Qionglin & Yang, Junzhong, 2022. "Migration based on environment comparison promotes cooperation in evolutionary games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 595(C).
    9. M.A. Nowak & K. Sigmund, 1998. "Evolution of Indirect Reciprocity by Image Scoring/ The Dynamics of Indirect Reciprocity," Working Papers ir98040, International Institute for Applied Systems Analysis.
    10. Martin A. Nowak & Karl Sigmund, 2005. "Evolution of indirect reciprocity," Nature, Nature, vol. 437(7063), pages 1291-1298, October.
    11. Zhang, Jun & Hu, Bin & Huang, Yi Jie & Deng, Zheng Hong & Wu, Tao, 2020. "The evolution of cooperation affected by aspiration-driven updating rule in multi-games with voluntary participation," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    12. Cheng-Yi Xia & Sandro Meloni & Yamir Moreno, 2012. "Effects Of Environment Knowledge On Agglomeration And Cooperation In Spatial Public Goods Games," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 15(supp0), pages 1-17.
    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. Zhu, Yuying & Cui, Heng & Xia, Chengyi, 2025. "Adaptive reputation promotes the cooperation of multiplayer snowdrift game on higher-order networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 675(C).

    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. 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).
    2. Hu, Menglong & Wang, Juan & Kong, Lingcong & An, Kang & Bi, Tao & Guo, Baohong & Dong, Enzeng, 2015. "Incorporating the information from direct and indirect neighbors into fitness evaluation enhances the cooperation in the social dilemmas," Chaos, Solitons & Fractals, Elsevier, vol. 77(C), pages 47-52.
    3. Isamu Okada, 2020. "A Review of Theoretical Studies on Indirect Reciprocity," Games, MDPI, vol. 11(3), pages 1-17, July.
    4. 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).
    5. Chen, Mei-huan & Wang, Li & Wang, Juan & Sun, Shi-wen & Xia, Cheng-yi, 2015. "Impact of individual response strategy on the spatial public goods game within mobile agents," Applied Mathematics and Computation, Elsevier, vol. 251(C), pages 192-202.
    6. Huang, Chaochao & Wang, Chaoqian, 2024. "Memory-based involution dilemma on square lattices," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    7. Chengzhang Ma & Wei Cao & Wangheng Liu & Rong Gui & Ya Jia, 2013. "Direct Sum Matrix Game with Prisoner's Dilemma and Snowdrift Game," PLOS ONE, Public Library of Science, vol. 8(12), pages 1-7, December.
    8. Li, Minlan & Wang, Chao & Han, Yanyan & Wang, Si-Yi & Wang, Ruiwu, 2025. "Environmental feedback promotes cooperation in a spatial prisoner's dilemma game with preferential selection," Applied Mathematics and Computation, Elsevier, vol. 495(C).
    9. Qiang, Shiru & Zhang, Hui, 2025. "Effect of adaptive migration with interaction intensity on the evolution of cooperation," Ecological Modelling, Elsevier, vol. 508(C).
    10. Wang, Yi-Ling, 2013. "Asymmetric evaluation of fitness enhances spatial reciprocity in social dilemmas," Chaos, Solitons & Fractals, Elsevier, vol. 54(C), pages 76-81.
    11. Mike Farjam & Wladislaw Mill & Marian Panganiban, 2016. "Ignorance Is Bliss, But for Whom? The Persistent Effect of Good Will on Cooperation," Games, MDPI, vol. 7(4), pages 1-19, October.
    12. Song, Sha & Pan, Qiuhui & Zhu, Wenqiang & He, Mingfeng, 2023. "Evolution of cooperation in games with dual attribute strategy," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    13. Guan, Kaixuan & Chen, Yuyou & Zheng, Wanjun & Zeng, Lulu & Ye, Hang, 2022. "Costly signals can facilitate cooperation and punishment in the prisoner’s dilemma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).
    14. Quan, Ji & Zhang, Xiyue & Chen, Wenman & Tang, Caixia & Wang, Xianjia, 2024. "Reputation-dependent social learning on the evolution of cooperation in spatial public goods games," Applied Mathematics and Computation, Elsevier, vol. 475(C).
    15. Du, Faqi & Fu, Feng, 2013. "Quantifying the impact of noise on macroscopic organization of cooperation in spatial games," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 35-44.
    16. Bandyopadhyay, Abhirup & Kar, Samarjit, 2018. "Coevolution of cooperation and network structure in social dilemmas in evolutionary dynamic complex network," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 710-730.
    17. Swami Iyer & Timothy Killingback, 2020. "Evolution of Cooperation in Social Dilemmas with Assortative Interactions," Games, MDPI, vol. 11(4), pages 1-31, September.
    18. 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).
    19. Wang, Yang & Lu, Shounan, 2025. "Environmental-feedback-driven time-varying reputation update solve social dilemmas," Applied Mathematics and Computation, Elsevier, vol. 507(C).
    20. Xiaojie Chen & Alana Schick & Michael Doebeli & Alistair Blachford & Long Wang, 2012. "Reputation-Based Conditional Interaction Supports Cooperation in Well-Mixed Prisoner’s Dilemmas," PLOS ONE, Public Library of Science, vol. 7(5), pages 1-7, May.

    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:phsmap:v:660:y:2025:i:c:s0378437125000160. 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.