A symmetry of fixation times in evoultionary dynamics.
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.
Taylor
Christine
C
Program for Evolutionary Dynamics, Department of Mathematics, Harvard University, Cambridge, MA 02138, USA. taylor4@fas.harvard.edu
Iwasa
Yoh
Y
Nowak
Martin A
MA
D000818:Animals; D005075:Biological Evolution; D005716:Game Theory; D008390:Markov Chains; D008957:Models, Genetic; D009154:Mutation; D012641:Selection, Genetic