Evolutionary dynamics and fixation probabilities in directed networks

@article{Masuda2009EvolutionaryDA,
  title={Evolutionary dynamics and fixation probabilities in directed networks},
  author={Naoki Masuda and Hisashi Ohtsuki},
  journal={New Journal of Physics},
  year={2009},
  volume={11},
  pages={033012}
}
  • N. Masuda, H. Ohtsuki
  • Published 5 December 2008
  • Mathematics, Computer Science
  • New Journal of Physics
In this paper, we investigate the evolutionary dynamics in directed and/or weighted networks. We study the fixation probability of a mutant in finite populations in stochastic voter-type dynamics for several update rules. The fixation probability is defined as the probability of a newly introduced mutant in a wild-type population taking over the entire population. In contrast to the case of undirected and unweighted networks, the fixation probability of a mutant in directed networks is… 

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...

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