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Heterogeneous investment promotes cooperation in spatial public goods game on hypergraphs

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  • Pan, Jianchen
  • Zhang, Lan
  • Han, Wenchen
  • Huang, Changwei

Abstract

Most previous studies on the evolutionary dynamics of cooperation have been based on pairwise interactions, and heterogeneous investment has been considered to play a nontrivial role in enhancing cooperation. However, the interactions among individuals in real systems are not always binary ones, but often include higher-order interactions. In our work, a spatial public goods game on uniform random hypergraphs is proposed to study the effects of heterogeneous investment on cooperation evolution. Heterogeneous investment is introduced by the fraction of cooperators in a hyperedge. From numerical simulation results , we find that the introduction of heterogeneous investment can promote cooperation on uniform random hypergraphs. Moreover, we provide a theoretical analysis of the critical value of the reduced synergy factor rc through the replicator approximation, and the theoretical predictions are in qualitative agreement with the numerical simulation results. Furthermore, the robustness with respect to the number of hyperedges is checked, and it is found that the conclusions remain the same.

Suggested Citation

  • Pan, Jianchen & Zhang, Lan & Han, Wenchen & Huang, Changwei, 2023. "Heterogeneous investment promotes cooperation in spatial public goods game on hypergraphs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 609(C).
    • Handle: RePEc:eee:phsmap:v:609:y:2023:i:c:s037843712200958x
    DOI: 10.1016/j.physa.2022.128400
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    1. Cao, Xian-Bin & Du, Wen-Bo & Rong, Zhi-Hai, 2010. "The evolutionary public goods game on scale-free networks with heterogeneous investment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(6), pages 1273-1280.
    2. Valverde, Pablo A. & da Silva, Roberto & Stock, Eduardo V., 2017. "Global oscillations in the Optional Public Goods Game under spatial diffusion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 474(C), pages 61-69.
    3. 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.
    4. Liu, Run-Ran & Jia, Chun-Xiao & Wang, Bing-Hong, 2010. "Heritability promotes cooperation in spatial public goods games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(24), pages 5719-5724.
    5. 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.
    6. Gao, Jia & Li, Zhi & Wu, Te & Wang, Long, 2010. "Diversity of contribution promotes cooperation in public goods games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(16), pages 3166-3171.
    7. Zhang, Haifeng & Yang, Hanxin & Du, Wenbo & Wang, Binghong & Cao, Xianbin, 2010. "Evolutionary public goods games on scale-free networks with unequal payoff allocation mechanism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(5), pages 1099-1104.
    8. Zhang, Lan & Huang, Changwei & Li, Haihong & Dai, Qionglin & Yang, Junzhong, 2021. "Effects of directional migration for pursuit of profitable circumstances in evolutionary games," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    9. Yang, Han-Xin & Yang, Jing, 2019. "Reputation-based investment strategy promotes cooperation in public goods games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 886-893.
    10. Yang, Han-Xin & Sun, Lei, 2020. "Heterogeneous donation game in geographical small-world networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    11. 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).
    12. Xiaojie Chen & Yongkui Liu & Yonghui Zhou & Long Wang & Matjaž Perc, 2012. "Adaptive and Bounded Investment Returns Promote Cooperation in Spatial Public Goods Games," PLOS ONE, Public Library of Science, vol. 7(5), pages 1-8, May.
    13. 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).
    14. Huang, Changwei & Han, Wenchen & Li, Haihong & Cheng, Hongyan & Dai, Qionglin & Yang, Junzhong, 2019. "Public cooperation in two-layer networks with asymmetric interaction and learning environments," Applied Mathematics and Computation, Elsevier, vol. 340(C), pages 305-313.
    15. Zhang, Haifeng & Shi, Dongmei & Liu, Runran & Wang, Binghong, 2012. "Dynamic allocation of investments promotes cooperation in spatial public goods game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(8), pages 2617-2622.
    16. Wu-Jie Yuan & Cheng-Yi Xia, 2014. "Role of Investment Heterogeneity in the Cooperation on Spatial Public Goods Game," PLOS ONE, Public Library of Science, vol. 9(3), pages 1-6, March.
    17. Tian, Lin-Lin & Li, Ming-Chu & Lu, Kun & Zhao, Xiao-Wei & Wang, Zhen, 2013. "The influence of age-driven investment on cooperation in spatial public goods games," Chaos, Solitons & Fractals, Elsevier, vol. 54(C), pages 65-70.
    18. Ma, Xiaojian & Quan, Ji & Wang, Xianjia, 2021. "Effect of reputation-based heterogeneous investment on cooperation in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
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