Diversity of reproduction time scale promotes cooperation in spatial prisoner’s dilemma games

Zhi-Xi Wu, Zhihai Rong, and Petter Holme
Phys. Rev. E 80, 036106 – Published 9 September 2009

Abstract

We study an evolutionary spatial prisoner’s dilemma game where the fitness of the players is determined by both the payoffs from the current interaction and their history. We consider the situation where the selection time scale is slower than the interaction time scale. This is done by implementing probabilistic reproduction on an individual level. We observe that both too fast and too slow reproduction rates hamper the emergence of cooperation. In other words, there exists an intermediate selection time scale that maximizes cooperation. Another factor we find to promote cooperation is a diversity of reproduction time scales.

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  • Received 20 June 2009

DOI:https://doi.org/10.1103/PhysRevE.80.036106

©2009 American Physical Society

Authors & Affiliations

Zhi-Xi Wu1,*, Zhihai Rong2,†, and Petter Holme1,‡

  • 1Department of Physics, Umeå University, 901 87 Umeå, Sweden
  • 2Department of Automation, Donghua University, 200051 Shanghai, China

  • *zhi-xi.wu@physics.umu.se
  • rongzhh@gmail.com
  • petter.holme@physics.umu.se

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Issue

Vol. 80, Iss. 3 — September 2009

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