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Peer pressure driven adaptive migration with Q-learning promotes cooperation in the spatial Prisoner’s dilemma

Author

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  • Cheng, Yue
  • Yang, Qianxi
  • Yang, Yanlong

Abstract

In both natural and human societies, individuals often migrate in search of more favorable living conditions. However, the mechanisms by which individuals make migration decisions through reinforcement learning based on their perceived social environment are not yet fully understood. In this paper, we propose an adaptive migration mechanism driven by peer pressure. In this mechanism, individuals experience peer pressure due to strategic inconsistencies with their neighbors and use a pressure threshold to classify their current state as high-pressure or low-pressure. Based on this state, they adopt Q-learning to adaptively choose between migrating and staying. Simulation results show that neither pure random migration nor intelligent decision-making lacking peer pressure guidance can overcome the constraints of the prisoner’s dilemma. In contrast, our proposed migration mechanism exhibits a significant synergistic effect in spatial networks, sustaining cooperation even under relatively strong temptation to defect.

Suggested Citation

  • Cheng, Yue & Yang, Qianxi & Yang, Yanlong, 2026. "Peer pressure driven adaptive migration with Q-learning promotes cooperation in the spatial Prisoner’s dilemma," Applied Mathematics and Computation, Elsevier, vol. 531(C).
  • Handle: RePEc:eee:apmaco:v:531:y:2026:i:c:s0096300326002821
    DOI: 10.1016/j.amc.2026.130230
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