中国物理B ›› 2025, Vol. 34 ›› Issue (12): 120201-120201.doi: 10.1088/1674-1056/ade665

• • 上一篇    

Strategy persistence-consistency and reputation promote cooperation in dual-layer networks for prisoner’s dilemma games

Qianwei Zhang(张倩伟)†, Jiaqi Liu(刘佳琪)‡, and Leiman Fu(付蕾蔓)§   

  1. School of Mathematics, Renmin University of China, Beijing 100872, China
  • 收稿日期:2025-03-16 修回日期:2025-05-10 接受日期:2025-06-20 发布日期:2025-11-25
  • 通讯作者: Qianwei Zhang, Jiaqi Liu, Leiman Fu E-mail:zqw2002@ruc.edu.cn;ljq2019@ruc.edu.cn;fuleiman@ruc.edu.cn
  • 基金资助:
    This work was supported by the National Natural Science Foundation of China (Grant No. 72001207).

Strategy persistence-consistency and reputation promote cooperation in dual-layer networks for prisoner’s dilemma games

Qianwei Zhang(张倩伟)†, Jiaqi Liu(刘佳琪)‡, and Leiman Fu(付蕾蔓)§   

  1. School of Mathematics, Renmin University of China, Beijing 100872, China
  • Received:2025-03-16 Revised:2025-05-10 Accepted:2025-06-20 Published:2025-11-25
  • Contact: Qianwei Zhang, Jiaqi Liu, Leiman Fu E-mail:zqw2002@ruc.edu.cn;ljq2019@ruc.edu.cn;fuleiman@ruc.edu.cn
  • About author:2025-120201-250438.pdf
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (Grant No. 72001207).

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摘要： We propose a dual-layer network model that integrates social and familial contexts, consisting of a social interaction layer and a family relationship layer. We design a reputation-based incentive mechanism incorporating strategy persistence-consistency to investigate how reputation fosters cooperation. The model features the following aspects: (1) a dynamic disconnection-reconnection mechanism in the social layer, (2) a reputation-enhanced Fermi rule in the family layer, and (3) a refined partitioning of the family network. Simulation results indicate that the disconnection-reconnection parameter (${\sigma }$) significantly enhances cooperation in the social network; the strategic persistence-consistency influencing factor (${\alpha }$) has a positive impact on cooperation in both layers; and moderately dividing the family network promotes the emergence of cooperation. The research findings facilitate group cooperation in complex networks and offer valuable insights for addressing social dilemmas in the real world.

关键词: prisoner’s dilemma, dual-layer network, disconnection-reconnection mechanism, strategy persistence-consistency

Abstract: We propose a dual-layer network model that integrates social and familial contexts, consisting of a social interaction layer and a family relationship layer. We design a reputation-based incentive mechanism incorporating strategy persistence-consistency to investigate how reputation fosters cooperation. The model features the following aspects: (1) a dynamic disconnection-reconnection mechanism in the social layer, (2) a reputation-enhanced Fermi rule in the family layer, and (3) a refined partitioning of the family network. Simulation results indicate that the disconnection-reconnection parameter (${\sigma }$) significantly enhances cooperation in the social network; the strategic persistence-consistency influencing factor (${\alpha }$) has a positive impact on cooperation in both layers; and moderately dividing the family network promotes the emergence of cooperation. The research findings facilitate group cooperation in complex networks and offer valuable insights for addressing social dilemmas in the real world.

Key words: prisoner’s dilemma, dual-layer network, disconnection-reconnection mechanism, strategy persistence-consistency

中图分类号:  (Decision theory and game theory)

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