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Evolution of cooperation on temporal networks

Author

Listed:
  • Aming Li

    (College of Engineering, Peking University
    University of Oxford
    Northeastern University)

  • Lei Zhou

    (College of Engineering, Peking University
    Princeton University)

  • Qi Su

    (College of Engineering, Peking University
    University of Pennsylvania)

  • Sean P. Cornelius

    (Northeastern University
    Ryerson University
    Brigham and Women’s Hospital, Harvard Medical School)

  • Yang-Yu Liu

    (Brigham and Women’s Hospital, Harvard Medical School
    Dana-Farber Cancer Institute)

  • Long Wang

    (College of Engineering, Peking University)

  • Simon A. Levin

    (Princeton University)

Abstract

Population structure is a key determinant in fostering cooperation among naturally self-interested individuals in microbial populations, social insect groups, and human societies. Traditional research has focused on static structures, and yet most real interactions are finite in duration and changing in time, forming a temporal network. This raises the question of whether cooperation can emerge and persist despite an intrinsically fragmented population structure. Here we develop a framework to study the evolution of cooperation on temporal networks. Surprisingly, we find that network temporality actually enhances the evolution of cooperation relative to comparable static networks, despite the fact that bursty interaction patterns generally impede cooperation. We resolve this tension by proposing a measure to quantify the amount of temporality in a network, revealing an intermediate level that maximally boosts cooperation. Our results open a new avenue for investigating the evolution of cooperation and other emergent behaviours in more realistic structured populations.

Suggested Citation

  • Aming Li & Lei Zhou & Qi Su & Sean P. Cornelius & Yang-Yu Liu & Long Wang & Simon A. Levin, 2020. "Evolution of cooperation on temporal networks," Nature Communications, Nature, vol. 11(1), pages 1-9, December.
    • Handle: RePEc:nat:natcom:v:11:y:2020:i:1:d:10.1038_s41467-020-16088-w
    DOI: 10.1038/s41467-020-16088-w
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    Cited by:

    1. Li, Wenyao & Cai, Meng & Zhong, Xiaoni & Liu, Yanbing & Lin, Tao & Wang, Wei, 2023. "Coevolution of epidemic and infodemic on higher-order networks," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    2. Anzhi Sheng & Qi Su & Aming Li & Long Wang & Joshua B. Plotkin, 2023. "Constructing temporal networks with bursty activity patterns," Nature Communications, Nature, vol. 14(1), pages 1-10, December.
    3. Du, Jinming & Wu, Ziren, 2023. "Coevolutionary dynamics of strategy and network structure with publicity mechanism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 623(C).
    4. Gong, Yudong & Liu, Sanyang & Bai, Yiguang, 2021. "A probability-driven structure-aware algorithm for influence maximization under independent cascade model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 583(C).
    5. Yang, Yimei & Sun, Hao & Xu, Genjiu, 2022. "Bilaterally-agree partner switching promotes cooperation in social dilemmas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
    6. Cheng, Jiangjiang & Mei, Wenjun & Su, Wei & Chen, Ge, 2023. "Evolutionary games on networks: Phase transition, quasi-equilibrium, and mathematical principles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 611(C).
    7. 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).
    8. Fang, Yujuan & Wei, Wei & Mei, Shengwei, 2022. "How dynamic renewable portfolio standards impact the diffusion of renewable energy in China? A networked evolutionary game analysis," Renewable Energy, Elsevier, vol. 193(C), pages 778-788.
    9. Gao, Shiping & Li, Nan, 2023. "Preference reversal and the evolution of cooperation," Applied Mathematics and Computation, Elsevier, vol. 438(C).
    10. Shi, Zhenyu & Wei, Wei & Perc, Matjaž & Li, Baifeng & Zheng, Zhiming, 2022. "Coupling group selection and network reciprocity in social dilemmas through multilayer networks," Applied Mathematics and Computation, Elsevier, vol. 418(C).
    11. Yang, Shulan & Hou, Zhiwei & Chen, Hongbo, 2023. "Evaluation of vulnerability of MAV/UAV collaborative combat network based on complex network," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    12. Li, Bin-Quan & Wu, Zhi-Xi & Guan, Jian-Yue, 2022. "Critical thresholds of benefit distribution in an extended snowdrift game model," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    13. Yuguang Yang & Katharine Z. Coyte & Kevin R. Foster & Aming Li, 2023. "Reactivity of complex communities can be more important than stability," Nature Communications, Nature, vol. 14(1), pages 1-13, December.
    14. Fabio Bento & Marco Tagliabue & Flora Lorenzo, 2020. "Organizational Silos: A Scoping Review Informed by a Behavioral Perspective on Systems and Networks," Societies, MDPI, vol. 10(3), pages 1-27, July.
    15. Sebestyén, Tamás & Braun, Emese, 2022. "Hány fecske csinál nyarat? A nem teljes hálózati szerkezet és az attitűd hatása az együttműködésre [How many swallows make a summer? The impact of incomplete network structure and attitude on coope," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(7), pages 869-901.
    16. Yao Meng & Sean P. Cornelius & Yang-Yu Liu & Aming Li, 2024. "Dynamics of collective cooperation under personalised strategy updates," Nature Communications, Nature, vol. 15(1), pages 1-11, December.
    17. Chu, Chen & Cui, Simin & Yuan, Zheng & Yu, Chunbin, 2022. "A win-stay-lose-learn mechanism based on aspiration can promote cooperation in a multigame," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    18. Zheng, Junjun & He, Yujie & Ren, Tianyu & Huang, Yongchao, 2022. "Evolution of cooperation in public goods games with segregated networks and periodic invasion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 596(C).
    19. Yang, Luhe & Zhang, Lianzhong, 2021. "Environmental feedback in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    20. Zeng, Ziyan & Li, Yuhan & Feng, Minyu, 2022. "The spatial inheritance enhances cooperation in weak prisoner’s dilemmas with agents’ exponential lifespan," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 593(C).
    21. Du, Jinming & Wu, Ziren, 2022. "Evolutionary dynamics of cooperation in dynamic networked systems with active striving mechanism," Applied Mathematics and Computation, Elsevier, vol. 430(C).
    22. Yue Wang & Ning Li & Bin Zhang & Qian Huang & Jian Wu & Yang Wang, 2023. "The effect of structural holes on producing novel and disruptive research in physics," Scientometrics, Springer;Akadémiai Kiadó, vol. 128(3), pages 1801-1823, March.
    23. Ma, Yin-Jie & Jiang, Zhi-Qiang & Podobnik, Boris, 2022. "Predictability of players’ actions as a mechanism to boost cooperation," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    24. Li, Heyang & Zeng, An, 2022. "Improving recommendation by connecting user behavior in temporal and topological dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).

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