A symmetry of fixation times in evoultionary dynamics |
| |
Authors: | Taylor Christine Iwasa Yoh Nowak Martin A |
| |
Institution: | Program for Evolutionary Dynamics, Department of Mathematics, Harvard University, Cambridge, MA 02138, USA. taylor4@fas.harvard.edu |
| |
Abstract: | 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. |
| |
Keywords: | Evolutionary games Fixation time Finite populations Moran process Wright-Fisher process Detailed balance condition |
本文献已被 ScienceDirect PubMed 等数据库收录! |
|