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Fixation probabilities of random mutants under frequency dependent selection

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http://pubman.mpdl.mpg.de/cone/persons/resource/persons56739

Huang,  Weini
Research Group Evolutionary Theory, Max Planck Institute for Evolutionary Biology, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons56973

Traulsen,  Arne
Research Group Evolutionary Theory, Max Planck Institute for Evolutionary Biology, Max Planck Society;

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Huang, W., & Traulsen, A. (2010). Fixation probabilities of random mutants under frequency dependent selection. Journal of Theoretical Biology, 263(2), 262-268. doi:10.1016/j.jtbi.2009.11.025.


Cite as: http://hdl.handle.net/11858/00-001M-0000-000F-D4AA-4
Abstract
Evolutionary game dynamics describes frequency dependent selection in asexual, haploid populations. It typically considers predefined strategies and fixed payoff matrices. Mutations occur between these known types only. Here, we consider a situation in which a mutation has produced an entirely new type which is characterized by a random payoff matrix that does not change during the fixation or extinction of the mutant. Based on the probability distribution underlying the payoff values, we address the fixation probability of the new mutant. It turns out that for weak selection, only the first moments of the distribution matter. For strong selection, the probability that a new payoff entry is larger than the wild type's payoff against itself is the crucial quantity.