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The role of punishment in the spatial public goods game

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Abstract

Though contradicting with natural selection, cooperative behaviors widely exist in practice and seem to be an effective measure to maintain the functioning of complex systems. As revealed by previous studies, punishment is capable of promoting cooperation and therefore various types of punishment are proposed. Previously, scholars mainly focus on investigating either peer punishment or pool punishment, whereas in social and biological systems, an individual might function as different roles when facing different players. Thus, we mainly investigate these two types of punishment together and the effects of punishment-type transfer on the evolutionary dynamics are further provided with sufficient analyses in this manuscript. Role of different type of punishment on cooperation seems to be related to the number of punishers (being denoted as T) among corresponding neighbors. Simulations are conducted in order to investigate the effect of threshold reflecting the punishment-type switching on evolutionary dynamics, while peer punishment is proved to be more effective than pool punishment in promoting cooperation. We hope our findings here can shed some lights on the investigation of punishment.

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Funding

This work was supported in part by Science and Technology Innovation 2030 “New Generation Artificial Intelligence” Major Project (Grant no. 2018AAA0100905), National Natural Science Foundation of China (Grant No. 62073263), the National 1000 Young Talent Plan (Grant No. W099102), Yunnan National Natural Science Foundation of China (Grant no. 62066045).

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Author notes

  1. Peican Zhu and Hao Guo contributed equally to this work.

Authors and Affiliations

  1. School of Computer Science and Engineering, Northwestern Polytechnical University (NWPU), Xi’an, 710072, Shaanxi, China

    Peican Zhu, Hailun Zhang & Ying Han

  2. School of Mechanical Engineering the Center for Optical Imagery Analysis and Learning (OPTIMAL), NWPU, Xi’an, 710072, Shaanxi, China

    Hao Guo, Zhen Wang & Chen Chu

  3. School of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, 650221, Yunnan, China

    Chen Chu

Authors
  1. Peican Zhu
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  2. Hao Guo
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  3. Hailun Zhang
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  4. Ying Han
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  5. Zhen Wang
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  6. Chen Chu
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Correspondence to Zhen Wang.

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Zhu, P., Guo, H., Zhang, H. et al. The role of punishment in the spatial public goods game. Nonlinear Dyn 102, 2959–2968 (2020). https://doi.org/10.1007/s11071-020-05965-0

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