Mutation-selection equilibrium in finite populations playing a Hawk-Dove game Articles uri icon

publication date

  • August 2015

start page

  • 66

end page

  • 73


  • 1-3


  • 25

International Standard Serial Number (ISSN)

  • 1007-5704

Electronic International Standard Serial Number (EISSN)

  • 1878-7274


  • We study the evolution of a finite population playing a Hawk-Dove game with mixed strategies. Players have a fixed strategy and their offspring inherit the parental strategy, with a probability u of mutating to another strategy. Payoff in the game is the only variation in fitness among individuals, and a selection coefficient delta measures the importance of the game in the overall fitness. Population evolution is carried out through a Moran process. We compare our numerical simulations with theoretical predictions in earlier work by Tarnita et al. (2009). Our results show that the effect of selection on the abundances of favored strategies is nonlinear, being less intense as d increases. The mutation rate u has an opposite and stronger effect to that of selection. Heuristic theoretical arguments are given in order to explain this nonlinear relationship. (C) 2015 Elsevier B.V. All rights reserved.


  • Mathematics


  • evolutionary dynamics; game theory; selection; mutation