Regular Article

The European Physical Journal B

, 86:127

Effects of directional migration on prisoner’s dilemma game in a square domain

  • Hongyan ChengAffiliated withSchool of Science, Beijing University of Posts and Telecommunications Email author 
  • , Qionglin DaiAffiliated withSchool of Science, Beijing University of Posts and Telecommunications
  • , Haihong LiAffiliated withSchool of Science, Beijing University of Posts and Telecommunications
  • , Xiaolan QianAffiliated withSchool of Electronics and Information, Zhejiang University of Media and Communications
  • , Mei ZhangAffiliated withDepartment of Physics, Beijing Normal University
  • , Junzhong YangAffiliated withSchool of Science, Beijing University of Posts and Telecommunications

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Abstract

We introduce a new migration rule, the directional migration, into evolutionary prisoner’s dilemma games defined in a square domain with periodic boundary conditions. We find that cooperation can be enhanced to a much higher level than the case in the absence of migration. Additionally, the presence of the directional migration has profound impact on the population structure: the directional migration drives individuals to form a number of dense clusters which resembles social cohesion. The evolutionary game theory incorporating the directional migration can reproduce some real characteristics of populations in human society and may shed light on the problem of social cohesion.

Keywords

Statistical and Nonlinear Physics