Moran-type bounds for the fixation probability in a frequency-dependent Wright-Fisher model
Probability
2020-07-01 v1 Populations and Evolution
Abstract
We study stochastic evolutionary game dynamics in a population of finite size. Individuals in the population are divided into two dynamically evolving groups. The structure of the population is formally described by a Wright-Fisher type Markov chain with a frequency dependent fitness. In a strong selection regime that favors one of the two groups, we obtain qualitatively matching lower and upper bounds for the fixation probability of the advantageous population. In the infinite population limit we obtain an exact result showing that a single advantageous mutant can invade an infinite population with a positive probability. We also give asymptotically sharp bounds for the fixation time distribution.
Keywords
Cite
@article{arxiv.1609.00838,
title = {Moran-type bounds for the fixation probability in a frequency-dependent Wright-Fisher model},
author = {Timothy Chumley and Ozgur Aydogmus and Anastasios Matzavinos and Alexander Roitershtein},
journal= {arXiv preprint arXiv:1609.00838},
year = {2020}
}