Journal
JOURNAL OF THEORETICAL BIOLOGY
Volume 257, Issue 2, Pages 340-344Publisher
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jtbi.2008.11.023
Keywords
Evolutionary game theory; Finite populations; Stochastic effects
Categories
Funding
- NIH [R01GM078986]
- John Templeton Foundation
- DFG
Ask authors/readers for more resources
We study evolutionary game dynamics in a well-mixed populations of finite size, N. A well-mixed population means that any two individuals are equally likely to interact. In particular we consider the average abundances of two strategies, A and B, under mutation and selection. The game dynamical interaction between the two strategies is given by the 2 x 2 payoff matrix [GRAPHICS] It has previously been shown that A is more abundant than B, if a(N - 2) + bN > cN + d(N - 2). This result has been derived for particular stochastic processes that operate either in the limit of asymptotically small mutation rates or in the limit of weak selection. Here we show that this result holds in fact for a wide class of stochastic birth-death processes for arbitrary mutation rate and for any intensity of selection. (C) 2008 Elsevier Ltd. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available