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Spatial multi-games under myopic update rule

  • Regular Article - Statistical and Nonlinear Physics
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Abstract

Considering the population diversity and the limitation of individual information in repeated N-person games, we study a spatial multi-games model under the myopic rule in this paper, in which two distinct types of players participate in snowdrift game (SG) and prisoner’s dilemma game (PDG), respectively. Monte Carlo simulation method is used to study: the effects of game intensity parameters b and \(\delta \), noise parameter k and mixing ratio p on the frequency of cooperators; the difference between learning update rule and myopic update rule. The results demonstrate that: (1) when the values of b and \(\delta \) are small, noise parameter k can promote the emergence of cooperation in SG with myopic update rule; (2) different from learning mechanism, the effect of the parameters p on the frequency of cooperators is nonmonotonic under myopic mechanism; (3) cooperators can form clusters to resist the invasion of defectors under learning update rule, while cooperators and defectors tend to form the chessboard-like patterns to increase individual payoff under myopic update rule.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment : Since our simulation results are based on the average of multiple random initial results, different number of replications and model evolution steps may cause slights differences in the test results. Therefore, we did not save the experimental data.]

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Acknowledgements

The authors would like to thank Doctor Jinhai Li for his valuable comments and suggestions on the preliminary draft. This work was supported by the National Natural Science Foundation of China (Grant No. 11947041).

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Authors and Affiliations

  1. Data Science Research Center, Kunming University of Science and Technology, Kunming, 650500, China

    Yuanxin Ye, Yiran Xie & Bo Yang

  2. Faculty of Science, Kunming University of Science and Technology, Kunming, 650500, China

    Yuanxin Ye, Yiran Xie & Bo Yang

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  1. Yuanxin Ye
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  2. Yiran Xie
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  3. Bo Yang
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All the authors contributed equally to this study.

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Correspondence to Bo Yang.

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Ye, Y., Xie, Y. & Yang, B. Spatial multi-games under myopic update rule. Eur. Phys. J. B 95, 49 (2022). https://doi.org/10.1140/epjb/s10051-022-00308-x

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