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Effect of mixed random and directional migration on cooperation in the spatial prisoner’s dilemma

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

Abstract

The migration behavior of the population plays a significant role in the evolution of cooperation in spatial games. During the migration process, individuals may be affected by uncertain and irrational factors, and these will affect their direction of migration. In previous studies, the migration direction has been determined either entirely randomly or using entirely deterministic factors, referred to as random and directional migration, respectively. However, in real-world situations, a mixture of both random and deterministic factors will be included in individuals’ migration decisions. In this work, we examined the effects of a mixture of directional and random migration on cooperation. In our model, for the directional migration, the average migration direction of an individual’s neighbors is used. We then introduce the parameter α to adjust the proportion of directional and random migration. The results show that a small value of α and a lower speed are beneficial to cooperation. Furthermore, we find that there is always an optimal range of α that will best promote the evolution of cooperation. We explain these phenomena based on time series of the cooperation level and the order parameter, and spatial population snapshots. We also investigate the effects of the interaction radius between individuals and population density on the evolution of cooperation. The robustness of this migration mode is further verified with respect to another game model, and we find that the conclusions remain the same.

Suggested Citation

  • Zhang, Lan & Pan, Jianchen & Huang, Changwei, 2023. "Effect of mixed random and directional migration on cooperation in the spatial prisoner’s dilemma," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    • Handle: RePEc:eee:chsofr:v:172:y:2023:i:c:s0960077923004411
    DOI: 10.1016/j.chaos.2023.113540
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    1. Wang, Zhen & Chen, Tianyi & Wang, Xingpu & Jin, Jiuwu & Li, Mingchu, 2013. "Evolution of co-operation among mobile agents with different influence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(19), pages 4655-4662.
    2. Shu, Feng & Liu, Xingwen & Fang, Kai & Chen, Hao, 2018. "Memory-based snowdrift game on a square lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 496(C), pages 15-26.
    3. Lei Shi & Ivan Romić & Yongjuan Ma & Zhen Wang & Boris Podobnik & H. Eugene Stanley & Petter Holme & Marko Jusup, 2020. "Freedom of choice adds value to public goods," Proceedings of the National Academy of Sciences, Proceedings of the National Academy of Sciences, vol. 117(30), pages 17516-17521, July.
    4. Li, Wen-Jing & Chen, Zhi & Jin, Ke-Zhong & Wang, Jun & Yuan, Lin & Gu, Changgui & Jiang, Luo-Luo & Perc, Matjaž, 2022. "Options for mobility and network reciprocity to jointly yield robust cooperation in social dilemmas," Applied Mathematics and Computation, Elsevier, vol. 435(C).
    5. Mao, Yajun & Rong, Zhihai & Wu, Zhi-Xi, 2021. "Effect of collective influence on the evolution of cooperation in evolutionary prisoner’s dilemma games," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    6. 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.
    7. 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).
    8. Li, Wen-Jing & Jiang, Luo-Luo & Perc, Matjaž, 2021. "A limited mobility of minorities facilitates cooperation in social dilemmas," Applied Mathematics and Computation, Elsevier, vol. 391(C).
    9. Song, Shenpeng & Feng, Yuhao & Xu, Wenzhe & Li, Hui-Jia & Wang, Zhen, 2022. "Evolutionary prisoner’s dilemma game on signed networks based on structural balance theory," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    10. He, Zhixue & Geng, Yini & Shen, Chen & Shi, Lei, 2020. "Evolution of cooperation in the spatial prisoner’s dilemma game with extortion strategy under win-stay-lose-move rule," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    11. 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.
    12. Hongyan Cheng & Qionglin Dai & Haihong Li & Xiaolan Qian & Mei Zhang & Junzhong Yang, 2013. "Effects of directional migration on prisoner’s dilemma game in a square domain," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 86(4), pages 1-6, April.
    13. Chen, Zhuo & Gao, Jianxi & Cai, Yunze & Xu, Xiaoming, 2011. "Evolution of cooperation among mobile agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(9), pages 1615-1622.
    14. Han, Weiwei & Zhang, Zhipeng & Sun, Junqing & Xia, Chengyi, 2022. "Role of reputation constraints in the spatial public goods game with second-order reputation evaluation," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
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