Evolutionary dynamics and fixation probabilities in directed networks

Naoki Masuda*, Hisashi Ohtsuki

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

66 Citations (Scopus)


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 characterized not only by the degree of the node that the mutant initially invades but also by the global structure of networks. Consequently, the gross connectivity of networks such as small-world property or modularity has a major impact on the fixation probability.

Original languageEnglish
Article number033012
JournalNew Journal of Physics
Publication statusPublished - 2009 Mar 10
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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