IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v199y2025ip1s0960077925005958.html

Evolutionary dynamics of threshold public goods games on random hypergraphs

Author

Listed:
  • Wang, Hainan
  • Zhang, Jiliang
  • Luo, Qiyao
  • Han, Xiao-Pu
  • Cui, Longqing
  • Wu, Ruirui
  • Gong, Lei
  • Liu, Yanni
  • Meng, Fanyuan

Abstract

The evolutionary dynamics of cooperation in threshold-dependent public goods provision remains poorly understood in systems with higher-order interactions. To address the gap, we introduce an evolutionary hypergraph-based threshold public goods game, where collective contributions within a group (hyperedge) must exceed a threshold value ϕ to generate shared benefits. Our results reveal that, in uniform random hypergraphs with fixed group size g, when ϕ

Suggested Citation

  • Wang, Hainan & Zhang, Jiliang & Luo, Qiyao & Han, Xiao-Pu & Cui, Longqing & Wu, Ruirui & Gong, Lei & Liu, Yanni & Meng, Fanyuan, 2025. "Evolutionary dynamics of threshold public goods games on random hypergraphs," Chaos, Solitons & Fractals, Elsevier, vol. 199(P1).
    • Handle: RePEc:eee:chsofr:v:199:y:2025:i:p1:s0960077925005958
    DOI: 10.1016/j.chaos.2025.116582
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077925005958
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2025.116582?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. Groves, Theodore & Ledyard, John O, 1977. "Optimal Allocation of Public Goods: A Solution to the "Free Rider" Problem," Econometrica, Econometric Society, vol. 45(4), pages 783-809, May.
    2. Chen, Lei & Lu, Juntao & Wang, Yalin & Jia, Chunxiao & Liu, Run-Ran & Meng, Fanyuan, 2025. "Cascading failures with group support in interdependent hypergraphs," Chaos, Solitons & Fractals, Elsevier, vol. 192(C).
    3. Christiane Clemens & Thomas Riechmann, 2006. "Evolutionary Dynamics in Public Good Games," Computational Economics, Springer;Society for Computational Economics, vol. 28(4), pages 399-420, November.
    4. Dutta, Prajit K & Sundaram, Rangarajan K, 1993. "The Tragedy of the Commons?," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(3), pages 413-426, July.
    5. Liu, Xu & Wang, Chongkai & Cui, Longqing & Xu, Zhehang & Liu, Yanni & Han, Xiao-Pu & Meng, Fanyuan, 2025. "Enhancing cooperation by balancing the contributions of early and late movers in spatial threshold public goods games," Chaos, Solitons & Fractals, Elsevier, vol. 196(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. Chen, Lei & Zhu, Yanpeng & Zhu, Jiadong & Cui, Longqing & Ruan, Zhongyuan & Small, Michael & Christensen, Kim & Liu, Run-Ran & Meng, Fanyuan, 2025. "A simple model of global cascades on random hypergraphs," Chaos, Solitons & Fractals, Elsevier, vol. 193(C).
    8. 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.
    9. Unai Alvarez-Rodriguez & Federico Battiston & Guilherme Ferraz Arruda & Yamir Moreno & Matjaž Perc & Vito Latora, 2021. "Evolutionary dynamics of higher-order interactions in social networks," Nature Human Behaviour, Nature, vol. 5(5), pages 586-595, May.
    10. Bramoulle, Yann & Kranton, Rachel, 2007. "Public goods in networks," Journal of Economic Theory, Elsevier, vol. 135(1), pages 478-494, July.
    11. William Nordhaus, 2015. "Climate Clubs: Overcoming Free-Riding in International Climate Policy," American Economic Review, American Economic Association, vol. 105(4), pages 1339-1370, April.
    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. Zhang, Jiliang & Wang, Yuhang & Zhou, Yinzuo & Zhang, Yi-Cheng & Meng, Fanyuan, 2025. "Threshold-based punishment mechanism in evolutionary public goods games on random hypergraphs," Chaos, Solitons & Fractals, Elsevier, vol. 200(P2).
    2. Lu, Juntao & Zhang, Jianlin & Xue, Qiang & Zhao, Siqi & Liu, Yanni & Cui, Longqing & Meng, Fanyuan, 2025. "Social contagion on hypergraphs with role-differentiated higher-order interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 678(C).
    3. Zhong, Yi & Wang, Kaihong & Zeng, Siyuan & Ding, Chuan, 2025. "Incentive control of eco-evolutionary dynamics with environmental feedback," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 676(C).
    4. Wang, Chongkai & Han, Xiao-Pu & Yu, Hao & Fu, Junjie & Meng, Fanyuan, 2025. "Evolutionary dynamics of public goods games on random hypergraphs with environmental feedbacks," Chaos, Solitons & Fractals, Elsevier, vol. 200(P2).
    5. Kang, Hongwei & Guo, Yuzeng & Shen, Yong & Sun, Xingping & Chen, Qingyi & Peng, Xiangyue, 2025. "Evolution of fully continuous strategies: Spatial Public Goods Game based on Differential Evolution," Chaos, Solitons & Fractals, Elsevier, vol. 200(P2).
    6. Lee, Hsuan-Wei & Cleveland, Colin & Szolnoki, Attila, 2026. "Context-sensitive norm enforcement reduces sanctioning costs in spatial public goods games," Applied Mathematics and Computation, Elsevier, vol. 508(C).
    7. Sun, Xingping & Feng, Kaiyu & Kang, Hongwei & Shen, Yong & Chen, Qingyi, 2026. "Adaptive migration guided by reputation-pheromone dynamics in spatial games," Chaos, Solitons & Fractals, Elsevier, vol. 202(P1).

    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. Zhang, Jiliang & Wang, Yuhang & Zhou, Yinzuo & Zhang, Yi-Cheng & Meng, Fanyuan, 2025. "Threshold-based punishment mechanism in evolutionary public goods games on random hypergraphs," Chaos, Solitons & Fractals, Elsevier, vol. 200(P2).
    2. Xu, Zhehang & Liu, Xu & Wang, Hainan & Cui, Longqing & Han, Xiao-Pu & Meng, Fanyuan, 2024. "Free-rider or contributor: A dilemma in spatial threshold public goods games," Chaos, Solitons & Fractals, Elsevier, vol. 187(C).
    3. Li, Ming & Huo, Liang'an, 2025. "Effects of individual social skills heterogeneity and reinforcement mechanisms on co-evolution of disease and information within hypernetworks," Chaos, Solitons & Fractals, Elsevier, vol. 199(P2).
    4. Konno, Tomohiko, 2013. "An imperfect competition on scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(21), pages 5453-5460.
    5. Wang, Chongkai & Han, Xiao-Pu & Yu, Hao & Fu, Junjie & Meng, Fanyuan, 2025. "Evolutionary dynamics of public goods games on random hypergraphs with environmental feedbacks," Chaos, Solitons & Fractals, Elsevier, vol. 200(P2).
    6. Quan, Ji & Liu, Wei & Chu, Yuqing & Wang, Xianjia, 2018. "Stochastic dynamics and stable equilibrium of evolutionary optional public goods game in finite populations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 502(C), pages 123-134.
    7. Yang, Luhe & Zhang, Lianzhong & Yang, Duoxing, 2022. "Asymmetric micro-dynamics in spatial anonymous public goods game," Applied Mathematics and Computation, Elsevier, vol. 415(C).
    8. Zou, Kuan & Huang, Changwei, 2024. "Incorporating reputation into reinforcement learning can promote cooperation on hypergraphs," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    9. Zou, Kuan & Han, Wenchen & Zhang, Lan & Huang, Changwei, 2024. "The spatial public goods game on hypergraphs with heterogeneous investment," Applied Mathematics and Computation, Elsevier, vol. 466(C).
    10. Lu, Juntao & Zhang, Jianlin & Xue, Qiang & Zhao, Siqi & Liu, Yanni & Cui, Longqing & Meng, Fanyuan, 2025. "Social contagion on hypergraphs with role-differentiated higher-order interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 678(C).
    11. Li, Jing & Wang, Jiang, 2018. "Locality based wealth rule favors cooperation in costly public goods games," Chaos, Solitons & Fractals, Elsevier, vol. 116(C), pages 1-7.
    12. Chuanyun Li & Xia Cao & Ming Chi, 2020. "Research on an evolutionary game model and simulation of a cluster innovation network based on fairness preference," PLOS ONE, Public Library of Science, vol. 15(1), pages 1-17, January.
    13. Hu, Zhengyang & Zhu, Yuying & Zhao, Dawei & Xia, Chengyi, 2026. "The higher-order networked N-player trust game driven by reputation and reinforcement learning," Chaos, Solitons & Fractals, Elsevier, vol. 202(P2).
    14. Ma, Jinlong & Zhao, Hongfei, 2025. "Synergy and discounting effects in spatial public goods games on hypergraphs: The role of third-order reputation-based dynamic assessment," Chaos, Solitons & Fractals, Elsevier, vol. 192(C).
    15. Chen, Wei & Wang, Huafeng & Sheng, Yukun, 2025. "The role of emotional expression in the evolution of cooperation in spatial prisoner’s dilemma games," Chaos, Solitons & Fractals, Elsevier, vol. 192(C).
    16. Wang, Chaoqian & Huang, Chaochao, 2022. "Between local and global strategy updating in public goods game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 606(C).
    17. Ruodan Liu & Naoki Masuda, 2023. "Fixation dynamics on hypergraphs," PLOS Computational Biology, Public Library of Science, vol. 19(9), pages 1-24, September.
    18. Yan, Zeyuan & Zhao, Hui & Li, Li, 2025. "Dynamic role-switching in hypergraphs: Enhancing cooperation via adaptive punishment and reinforcement learning," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 677(C).
    19. Jay Armas & Wout Merbis & Janusz Meylahn & Soroush Rafiee Rad & Mauricio J. del Razo, 2023. "Risk aversion can promote cooperation," Papers 2306.05971, arXiv.org, revised Nov 2024.
    20. 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).

    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:s0960077925005958. 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.