Fixation probabilities in evolutionary games with the Moran and Fermi processes.

Citation:

Liu, Xuesong, et al. “Fixation probabilities in evolutionary games with the Moran and Fermi processes.”. J Theor Biol 364 (2015): , 364, 242-8. Web.

Date Published:

2015 Jan 07

ISSN:

1095-8541

Abstract:

An evolutionary dynamic model of 2×2 games with finite population of size N+M was built. Among these individuals, N individuals have the same update mechanism as that of the Moran process, while the other M individuals have the same update mechanism as that of the Fermi process. We obtain the balance equations of the fixation probability and analyze some concrete cases. In contrast with the results of neutral evolution, the fixation probability of a single co-operator with the same update mechanism as that of the Fermi process is higher. Besides, more co-operators with the update mechanism of the Fermi process lead to higher fixation probabilities when co-operators׳ quantity is the same.

DOI:

10.1016/j.jtbi.2014.08.047

Alternate Journal:

J. Theor. Biol.