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Memory-based evolutionary game on small-world network with tunable heterogeneity

Author

Listed:
  • Deng, Xiao-Heng
  • Liu, Yi
  • Chen, Zhi-Gang

Abstract

Most papers about evolutionary games on graph assume agents have no memory. Yet, in the real world, interaction history can also affect an agent’s decision. So we introduce a memory-based agent model and investigate the Prisoner’s Dilemma game on a Heterogeneous Newman–Watts small-world network based on a Genetic Algorithm, focusing on heterogeneity’s role in the emergence of cooperative behaviors. In contrast with previous results, we find that a different heterogeneity parameter domain range imposes an entirely different impact on the cooperation fraction. In the parameter range corresponding to networks with extremely high heterogeneity, the decrease in heterogeneity greatly promotes the proportion of cooperation strategy, while in the remaining parameter range, which relates to relatively homogeneous networks, the variation of heterogeneity barely affects the cooperation fraction. Also our study provides a detailed insight into the microscopic factors that contribute to the performance of cooperation frequency.

Suggested Citation

  • Deng, Xiao-Heng & Liu, Yi & Chen, Zhi-Gang, 2010. "Memory-based evolutionary game on small-world network with tunable heterogeneity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(22), pages 5173-5181.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:22:p:5173-5181
    DOI: 10.1016/j.physa.2010.08.004
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    Citations

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    Cited by:

    1. Chen, Zhi-Gang & Wang, Tao & Xiao, De-Gui & Xu, Yin, 2013. "Can remembering history from predecessor promote cooperation in the next generation?," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 59-68.
    2. Han, Dun & Sun, Mei, 2014. "Can memory and conformism resolve the vaccination dilemma?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 415(C), pages 95-104.
    3. Wang, Qingqing & Du, Chunpeng & Geng, Yini & Shi, Lei, 2020. "Historical payoff can not overcome the vaccination dilemma on Barabási–Albert scale-free networks," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    4. Luo, Chao & Jiang, Zhipeng, 2017. "Coevolving allocation of resources and cooperation in spatial evolutionary games," Applied Mathematics and Computation, Elsevier, vol. 311(C), pages 47-57.
    5. Li, Xiaopeng & Han, Weiwei & Yang, Wenjun & Wang, Juan & Xia, Chengyi & Li, Hui-jia & Shi, Yong, 2022. "Impact of resource-based conditional interaction on cooperation in spatial social dilemmas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 594(C).
    6. Wang, Tao & Chen, Zhigang & Li, Kenli & Deng, Xiaoheng & Li, Deng, 2014. "Memory does not necessarily promote cooperation in dilemma games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 218-227.
    7. Deng, Yunsheng & Zhang, Jihui, 2021. "The role of the preferred neighbor with the expected payoff on cooperation in spatial public goods game under optimal strategy selection mechanism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 584(C).
    8. Zhao, Jinqiu & Luo, Chao, 2019. "The effect of preferential teaching and memory on cooperation clusters in interdependent networks," Applied Mathematics and Computation, Elsevier, vol. 363(C), pages 1-1.
    9. Ji, Jiezhou & Pan, Qiuhui & Zhu, Wenqiang & He, Mingfeng, 2023. "The influence of own historical information and environmental historical information on the evolution of cooperation," Applied Mathematics and Computation, Elsevier, vol. 446(C).

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