Dynamic analysis of evolutionary game considering individual influence

Boyuan Xue and Yuhan Hu

Physica A: Statistical Mechanics and its Applications, 2025, vol. 674, issue C

Abstract: Cooperation plays a vital role in many fields, a multitude of factors have an impact on cooperation. In real life, due to the disparities in their influence, distinct individuals can exert dissimilar influences on cooperation. This paper establishes an evolutionary game model that considers individual influence and then conducts theoretical analyses of the model. The system dynamic analysis indicates that the system features four coexistence states: the pure influential cooperation strategy, the coexistence of the influential cooperation strategy and cooperation strategy, the coexistence of the influential cooperation strategy and defection strategy, and the simultaneous interaction of the three strategies. The research results suggest that the incorporation of influential cooperation strategies does indeed contribute to the formation of cooperation.

Keywords: Evolutionary game; Prisoner’s Dilemma; Influential cooperation (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:674:y:2025:i:c:s0378437125003486

DOI: 10.1016/j.physa.2025.130696

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