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Evolutionary prisoner’s dilemma game in flocks

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  • Chen, Zhuo
  • Gao, Jianxi
  • Cai, Yunze
  • Xu, Xiaoming

Abstract

We investigate an evolutionary prisoner’s dilemma game among self-driven agents, where collective motion of biological flocks is imitated through averaging directions of neighbors. Depending on the temptation to defect and the velocity at which agents move, we find that cooperation can not only be maintained in such a system but there exists an optimal size of interaction neighborhood, which can induce the maximum cooperation level. When compared with the case that all agents do not move, cooperation can even be enhanced by the mobility of individuals, provided that the velocity and the size of neighborhood are not too large. Besides, we find that the system exhibits aggregation behavior, and cooperators may coexist with defectors at equilibrium.

Suggested Citation

  • Chen, Zhuo & Gao, Jianxi & Cai, Yunze & Xu, Xiaoming, 2011. "Evolutionary prisoner’s dilemma game in flocks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(1), pages 50-56.
    • Handle: RePEc:eee:phsmap:v:390:y:2011:i:1:p:50-56
    DOI: 10.1016/j.physa.2010.02.052
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    Cited by:

    1. Chiong, Raymond & Kirley, Michael, 2012. "Random mobility and the evolution of cooperation in spatial N-player iterated Prisoner’s Dilemma games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(15), pages 3915-3923.
    2. Chen, Zhuo & Gao, Jianxi & Cai, Yunze & Xu, Xiaoming, 2011. "Evolution of cooperation among mobile agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(9), pages 1615-1622.
    3. You, Feng & Yang, Han-Xin & Li, Yumeng & Du, Wenbo & Wang, Gang, 2023. "A modified Vicsek model based on the evolutionary game," Applied Mathematics and Computation, Elsevier, vol. 438(C).

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