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Multi-player snowdrift game on scale-free simplicial complexes

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  • Xu, Yan
  • Feng, Meiling
  • Zhu, Yuying
  • Xia, Chengyi

Abstract

Nowadays, a large number of complex systems have been characterized by networks connecting the pairwise interacting agents. However, from human decision-making behaviors to chemical reactions and biological activities, interactions can also occur within groups with three or more nodes, which cannot be simply expressed by pairwise links. In this work, we consider the interactions beyond pairwise connections, and then propose a completely new and general method to explore the evolutionary dynamics of multi-player snowdrift game on networks with higher-order interactions. Among them, simplicial complexes combining 1-simplex and 2-simplex interactions are adopted to establish the underlying network, and the impact of non-pairwise interactions on the dynamics of multi-player snowdrift game is studied by adjusting the proportion (ρ) of 2-simplex. Numerical simulations show that the global frequency of cooperation depends on both the cost-to-benefit ratio (r) and ρ: when r is too small or too large, the variation of ρ has no influence on the cooperation frequency; while r is medium-sized, the cooperation frequency reduces with the increase of ρ. Surprisingly, by introducing the non-pairwise interactions based on 2-simplex, cooperation can be facilitated under some special parameter settings. Moreover, when r is moderate, the decrease in the cooperation frequency of low-degree individuals is the main reason for causing the decline of the global cooperation frequency. Current results provide a new perspective for us to comprehend the evolution of cooperation within the realistic networked population.

Suggested Citation

  • Xu, Yan & Feng, Meiling & Zhu, Yuying & Xia, Chengyi, 2022. "Multi-player snowdrift game on scale-free simplicial complexes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 604(C).
    • Handle: RePEc:eee:phsmap:v:604:y:2022:i:c:s0378437122004630
    DOI: 10.1016/j.physa.2022.127698
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    References listed on IDEAS

    as
    1. Hu, Xiang & Liu, Xingwen, 2021. "Unfixed-neighbor-mechanism promotes cooperation in evolutionary snowdrift game on lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 572(C).
    2. Guo, H. & Jia, D. & Sendiña-Nadal, I. & Zhang, M. & Wang, Z. & Li, X. & Alfaro-Bittner, K. & Moreno, Y. & Boccaletti, S., 2021. "Evolutionary games on simplicial complexes," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    3. L. V. Gambuzza & F. Patti & L. Gallo & S. Lepri & M. Romance & R. Criado & M. Frasca & V. Latora & S. Boccaletti, 2021. "Stability of synchronization in simplicial complexes," Nature Communications, Nature, vol. 12(1), pages 1-13, December.
    4. Seth Rakoff-Nahoum & Kevin R. Foster & Laurie E. Comstock, 2016. "The evolution of cooperation within the gut microbiota," Nature, Nature, vol. 533(7602), pages 255-259, May.
    5. 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.
    6. Lee, K.H. & Chan, Chun-Him & Hui, P.M. & Zheng, Da-Fang, 2008. "Cooperation in N-person evolutionary snowdrift game in scale-free Barabási–Albert networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(22), pages 5602-5608.
    7. Li, Kun & Mao, Yizhou & Wei, Zhenlin & Cong, Rui, 2021. "Pool-rewarding in N-person snowdrift game," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    8. 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.
    9. Xiaofeng Wang, 2021. "Costly Participation and The Evolution of Cooperation in the Repeated Public Goods Game," Dynamic Games and Applications, Springer, vol. 11(1), pages 161-183, March.
    10. Ernst Fehr & Urs Fischbacher, 2003. "The nature of human altruism," Nature, Nature, vol. 425(6960), pages 785-791, October.
    11. 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.
    12. Jeff Gore & Hyun Youk & Alexander van Oudenaarden, 2009. "Snowdrift game dynamics and facultative cheating in yeast," Nature, Nature, vol. 459(7244), pages 253-256, May.
    13. Dong, Yukun & Xu, Hedong & Fan, Suohai, 2019. "Memory-based stag hunt game on regular lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 519(C), pages 247-255.
    14. Zhu, Jiabao & Liu, Xingwen, 2021. "The number of strategy changes can be used to promote cooperation in spatial snowdrift game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 575(C).
    15. Wettergren, Thomas A., 2021. "Replicator dynamics of an N-player snowdrift game with delayed payoffs," Applied Mathematics and Computation, Elsevier, vol. 404(C).
    16. Jia, Danyang & Li, Tong & Zhao, Yang & Zhang, Xiaoqin & Wang, Zhen, 2022. "Empty nodes affect conditional cooperation under reinforcement learning," Applied Mathematics and Computation, Elsevier, vol. 413(C).
    17. Jörg Gross & Carsten K. W. Dreu, 2019. "The rise and fall of cooperation through reputation and group polarization," Nature Communications, Nature, vol. 10(1), pages 1-10, December.
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    5. Zhao, Zhengwu & Zhang, Chunyan, 2023. "The mechanisms of labor division from the perspective of task urgency and game theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 630(C).

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