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Effects of group sensitivity on cooperation in N-person snowdrift game with dynamic grouping

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  • Shi, Yong-Dong
  • Zhong, Li-Xin
  • Xu, Wen-Juan

Abstract

In nature and society, individuals are often tempted to exploit free-riding opportunities. Previous studies have shown that, without additional measures like spatially restricted interactions and costly punishment, defection should be more prevalent than cooperation. By incorporating group sensitivity and size adjustable interacting groups into the N-person snowdrift game, we have studied the coevolution of the preferred group sizes and the frequencies of cooperators. It is found that the widespread of cooperation is closely related to the degree of an individual’s group sensitivity. In comparison with a weak or a strong sensitivity, a moderate group sensitivity can greatly promote cooperation. With the rise of the group sensitivity, the step-like changes of the frequencies of cooperators and the average preferred group sizes are found. A theoretical analysis reveals that an individual’s group sensitivity may lead to a decrease in the preferred group size and accordingly an increase in cooperation. A functional relation between the frequencies of cooperators and the average preferred group sizes is found.

Suggested Citation

  • Shi, Yong-Dong & Zhong, Li-Xin & Xu, Wen-Juan, 2013. "Effects of group sensitivity on cooperation in N-person snowdrift game with dynamic grouping," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 132-138.
    • Handle: RePEc:eee:chsofr:v:56:y:2013:i:c:p:132-138
    DOI: 10.1016/j.chaos.2013.07.014
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    References listed on IDEAS

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    Cited by:

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    3. Ye, Wenxing & Fan, Suohai, 2017. "Evolutionary snowdrift game with rational selection based on radical evaluation," Applied Mathematics and Computation, Elsevier, vol. 294(C), pages 310-317.
    4. Deng, Zhenghong & Huang, Yijie & Gu, Zhiyang & Deng, Zhilong & Xu, Jiwei, 2018. "The evolution of cooperation in spatial multigame with voluntary participation," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 41-46.
    5. Pi, Jinxiu & Wang, Chun & Zhou, Die & Tang, Wei & Yang, Guanghui, 2024. "Evolutionary dynamics of N-person snowdrift game with two thresholds in well-mixed and structured populations," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    6. Zhong, Li-Xin & Xu, Wen-Juan & Chen, Rong-Da & Zhong, Chen-Yang & Qiu, Tian & Shi, Yong-Dong & Wang, Li-Liang, 2016. "A generalized voter model with time-decaying memory on a multilayer network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 458(C), pages 95-105.
    7. Li-Xin Zhong & Wen-Juan Xu & Yun-Xin He & Chen-Yang Zhong & Rong-Da Chen & Tian Qiu & Yong-Dong Shi & Fei Ren, 2017. "A generalized public goods game with coupling of individual ability and project benefit," Papers 1702.07423, arXiv.org, revised May 2017.

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