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Exploring cooperative evolution with tunable payoff’s loners using reinforcement learning

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  • Zhang, Huizhen
  • An, Tianbo
  • Yan, Pingping
  • Hu, Kaipeng
  • An, Jinjin
  • Shi, Lijuan
  • Zhao, Jian
  • Wang, Jingrui

Abstract

Imitation and replication have emerged as a paradigm in numerous studies that explore the evolution of cooperative behavior. Since they embrace the essence of natural selection, it is widely recognized in exploring the evolution of biological behaviors. However, it is not easy to express the way individuals select and optimize in these simple and elegant ways in the complex and variable interactive environments. Currently, reinforcement learning is widely used in the study of strategy updating dynamics and agent learning processes in game theory. Therefore, we introduce the Q-learning algorithms into the voluntary public goods game to explore the impact of cooperative evolution. Simulation results demonstrate that when the synergy factor is large and the adjust loner payoff’s multiply factor is smaller, the number of cooperators becomes gradually consistent. As the synergy factor increases, the evolution of the proportion of defectors become nonlinear. Furthermore, we further explore the Q-table and strategy updating processes of agents in the steady state under a smaller multiply factor that adjusts the loner’s payoff. The results find inconsistency between the average Q-values and the steady state population strategy distribution. Subsequently, we explain the reason for the inconsistency by analyzing strategy sequence, namely that there are a number of agents who constantly change strategies in the population, and the Q-values of these agents have an impact on the overall Q-values. In addition, evolutionary snapshots of agent strategy sequences are observed. The results find that the agent’s strategic selection shows greater instability when the proportions of cooperators, defectors, and loners in the population are relatively balanced. Finally, the effect of parameters in the Q-learning algorithm on cooperative behavior is analyzed. This study hopes to provide valuable insights into understanding the dynamics of cooperation in complex social interactions.

Suggested Citation

  • Zhang, Huizhen & An, Tianbo & Yan, Pingping & Hu, Kaipeng & An, Jinjin & Shi, Lijuan & Zhao, Jian & Wang, Jingrui, 2024. "Exploring cooperative evolution with tunable payoff’s loners using reinforcement learning," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    • Handle: RePEc:eee:chsofr:v:178:y:2024:i:c:s0960077923012602
    DOI: 10.1016/j.chaos.2023.114358
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    References listed on IDEAS

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    1. Jin, Xing & Tao, Yuchen & Wang, Jingrui & Wang, Chao & Wang, Yongheng & Zhang, Zhouyang & Wang, Zhen, 2023. "Strategic use of payoff information in k-hop evolutionary Best-shot networked public goods game," Applied Mathematics and Computation, Elsevier, vol. 459(C).
    2. Gao, Bo & Liu, Xuan & Lan, Zhong-Zhou & Hong, Jie & Zhang, Wenguang, 2021. "The evolution of cooperation with preferential selection in voluntary public goods game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 584(C).
    3. Cui, Guang-Hai & Wang, Zhen & Li, Jun-Li & Jin, Xing & Zhang, Zhi-Wang, 2021. "Influence of precaution and dynamic post-indemnity based insurance policy on controlling the propagation of epidemic security risks in networks," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    4. Gabriela Koľveková & Manuela Raisová & Martin Zoričak & Vladimír Gazda, 2021. "Endogenous Shared Punishment Model in Threshold Public Goods Games," Computational Economics, Springer;Society for Computational Economics, vol. 58(1), pages 57-81, June.
    5. Quan, Ji & Yu, Junyu & Li, Xia & Wang, Xianjia, 2023. "Conditional switching between social excluders and loners promotes cooperation in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    6. Haozheng Xu & Yiwen Zhang & Xing Jin & Jingrui Wang & Zhen Wang, 2023. "The Evolution of Cooperation in Multigames with Uniform Random Hypergraphs," Mathematics, MDPI, vol. 11(11), pages 1-11, May.
    7. 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).
    8. Jingrui Wang & Xing Jin & Yixuan Yang & Qingfang Chen & Zhen Wang & Hong Ding, 2021. "The spread of epidemic under voluntary vaccination with heterogeneous infection rates," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 32(03), pages 1-14, March.
    9. Wang, Jingrui & Zhang, Huizhen & Jin, Xing & Ma, Leyu & Chen, Yueren & Wang, Chao & Zhao, Jian & An, Tianbo, 2023. "Subsidy policy with punishment mechanism can promote voluntary vaccination behaviors in structured populations," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    10. Yang, Zhengzhi & Zheng, Lei & Perc, Matjaž & Li, Yumeng, 2024. "Interaction state Q-learning promotes cooperation in the spatial prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 463(C).
    11. Lee, Hsuan-Wei & Cleveland, Colin & Szolnoki, Attila, 2022. "Mercenary punishment in structured populations," Applied Mathematics and Computation, Elsevier, vol. 417(C).
    12. Huang, Changwei & Hou, Yongzhao & Han, Wenchen, 2023. "Coevolution of consensus and cooperation in evolutionary Hegselmann–Krause dilemma with the cooperation cost," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    13. 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).
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