A symmetry of fixation times in evoultionary dynamics

[摘要] In this paper, we show that for evolutionary dynamics between two types that can be described by a Moran process, the conditional fixation time of either type is the same irrespective of the selective scenario. With frequency dependent selection between two strategies A and B of an evolutionary game, regardless of whether A dominates B, A and B are best replies to themselves, or A and B are best replies to each other, the conditional fixation times of a single A and a single B mutant are identical. This does not hold for Wright-Fisher models, nor when the mutants start from multiple copies. (c) 2006 Elsevier Ltd. All rights reserved.

[发布日期] 2006-11-21

[关键词] evolutionary games;fixation time;finite populations;Moran process;Wright-Fisher process;detailed balance condition