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Chin. Phys. B, 2025, Vol. 34(12): 120201    DOI: 10.1088/1674-1056/ade665
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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)
School of Mathematics, Renmin University of China, Beijing 100872, China
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 (σ) significantly enhances cooperation in the social network; the strategic persistence-consistency influencing factor (α) 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.
Keywords:  prisoner’s dilemma      dual-layer network      disconnection-reconnection mechanism      strategy persistence-consistency  
Received:  16 March 2025      Revised:  10 May 2025      Accepted manuscript online:  20 June 2025
PACS:  02.50.Le (Decision theory and game theory)  
Fund: This work was supported by the National Natural Science Foundation of China (Grant No. 72001207).
Corresponding Authors:  Leiman Fu     E-mail:  fuleiman@ruc.edu.cn

Cite this article: 

Qianwei Zhang(张倩伟), Jiaqi Liu(刘佳琪), and Leiman Fu(付蕾蔓) Strategy persistence-consistency and reputation promote cooperation in dual-layer networks for prisoner’s dilemma games 2025 Chin. Phys. B 34 120201

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