Aspiration promotes cooperation in the prisoner's dilemma game with the imitation rule

Xuesong Liu, Mingfeng He, Yibin Kang, and Qiuhui Pan
Phys. Rev. E 94, 012124 – Published 18 July 2016

Abstract

A model of stochastic evolutionary game dynamics with finite population of size N+M was built. Among these individuals, N individuals update strategies with aspiration updating, while the other M individuals update strategies with imitation updating. In the proposed model, we obtain the expression of the mean fraction of cooperators and analyze some concrete cases. Compared with the standard imitation dynamics, there is always a positive probability to support the formation of cooperation in the system with the aspiration and imitation rules. Moreover, the numerical results indicate that more aspiration-driven individuals lead to a higher mean fraction of imitation-driven cooperators, which means the invasion of the aspiration-driven individuals is conducive to promoting the cooperation of the imitation-driven individuals.

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  • Received 22 October 2015
  • Revised 21 April 2016

DOI:https://doi.org/10.1103/PhysRevE.94.012124

©2016 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & ThermodynamicsInterdisciplinary Physics

Authors & Affiliations

Xuesong Liu1, Mingfeng He1, Yibin Kang1, and Qiuhui Pan1,2,*

  • 1School of Mathematical Science, Dalian University of Technology, Dalian 116024, China
  • 2School of Innovation and Entrepreneurship, Dalian University of Technology, Dalian 116024, China

  • *Corresponding author: qhpan@dlut.edu.cn

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Vol. 94, Iss. 1 — July 2016

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