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Continuous Spatial Public Goods Game Based on Particle Swarm Optimization with Memory Stability

Author

Listed:
  • Shuo Wang

    (School of Software, Yunnan University, Kunming 650504, China)

  • Zhuang Li

    (School of Software, Yunnan University, Kunming 650504, China)

  • Weidong Li

    (School of Mathematics and Statistics, Yunnan University, Kunming 650504, China)

  • Hua Jiang

    (School of Software, Yunnan University, Kunming 650504, China)

Abstract

Public goods games have been extensively studied to determine the mechanism behind cooperation in social dilemmas. Previous public goods games based on particle swarm algorithms enabled individuals to integrate their past best strategies with the current best strategies of their neighbors, which can effectively promote cooperation. In this paper, we introduce the concept of memory stability and explore the effects of different memory stability coefficients on strategy distribution, strategy update rate, and average cooperation level. Our simulation results showed that, in the case of a very high propensity coefficient, infinite memory stability coefficients cannot reach a high level of cooperation, while reducing memory stability can reach a very high level of cooperation. At a low enhancement factor, weakening memory stability decreased the average cooperation level, while at a higher enhancement factor, a weakening memory stability greatly increased the average group cooperation level. Our study provides new insights into the application of particle swarm algorithms to public goods games.

Suggested Citation

  • Shuo Wang & Zhuang Li & Weidong Li & Hua Jiang, 2022. "Continuous Spatial Public Goods Game Based on Particle Swarm Optimization with Memory Stability," Mathematics, MDPI, vol. 10(23), pages 1-16, December.
  • Handle: RePEc:gam:jmathe:v:10:y:2022:i:23:p:4572-:d:991770
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    References listed on IDEAS

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    1. Li, MingYuan & Kang, HongWei & Sun, XingPing & Shen, Yong & Chen, QingYi, 2022. "Replicator dynamics of public goods game with tax-based punishment," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    2. Dominic D. P. Johnson & Pavel Stopka & Stephen Knights, 2003. "The puzzle of human cooperation," Nature, Nature, vol. 421(6926), pages 911-912, February.
    3. Sarkar, Bijan, 2018. "Moran-evolution of cooperation: From well-mixed to heterogeneous complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 497(C), pages 319-334.
    4. Shuhua Chang & Zhipeng Zhang & Yu Li & Yu E Wu & Yunya Xie, 2018. "Investment preference promotes cooperation in spatial public goods game," PLOS ONE, Public Library of Science, vol. 13(11), pages 1-14, November.
    5. Lahkar, Ratul & Mukherjee, Saptarshi, 2019. "Evolutionary implementation in a public goods game," Journal of Economic Theory, Elsevier, vol. 181(C), pages 423-460.
    6. Liu, Jinzhuo & Meng, Haoran & Wang, Wei & Li, Tong & Yu, Yong, 2018. "Synergy punishment promotes cooperation in spatial public good game," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 214-218.
    7. Erez Lieberman & Christoph Hauert & Martin A. Nowak, 2005. "Evolutionary dynamics on graphs," Nature, Nature, vol. 433(7023), pages 312-316, January.
    8. Zhu, Cheng-jie & Sun, Shi-wen & Wang, Li & Ding, Shuai & Wang, Juan & Xia, Cheng-yi, 2014. "Promotion of cooperation due to diversity of players in the spatial public goods game with increasing neighborhood size," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 406(C), pages 145-154.
    9. Chen, Ya-Shan & Yang, Han-Xin & Guo, Wen-Zhong & Liu, Geng-Geng, 2018. "Promotion of cooperation based on swarm intelligence in spatial public goods games," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 614-620.
    10. Lv, Shaojie & Song, Feifei, 2022. "Particle swarm intelligence and the evolution of cooperation in the spatial public goods game with punishment," Applied Mathematics and Computation, Elsevier, vol. 412(C).
    11. Dirk Helbing & Attila Szolnoki & Matjaž Perc & György Szabó, 2010. "Evolutionary Establishment of Moral and Double Moral Standards through Spatial Interactions," PLOS Computational Biology, Public Library of Science, vol. 6(4), pages 1-9, April.
    12. Quan, Ji & Yang, Xiukang & Wang, Xianjia, 2018. "Spatial public goods game with continuous contributions based on Particle Swarm Optimization learning and the evolution of cooperation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 973-983.
    13. Huang, Keke & Zheng, Xiaoping & Su, Yunpeng, 2015. "Effect of heterogeneous sub-populations on the evolution of cooperation," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 681-687.
    14. Dragicevic, Arnaud Z. & Shogren, Jason F., 2021. "Preservation Value in Socio-Ecological Systems," Ecological Modelling, Elsevier, vol. 443(C).
    15. Lee, Hsuan-Wei & Cleveland, Colin & Szolnoki, Attila, 2022. "Mercenary punishment in structured populations," Applied Mathematics and Computation, Elsevier, vol. 417(C).
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