Strategy abundance in 2 x 2 games for arbitrary mutation rates

Antal, Tibor; Nowak, Martin A.; Traulsen, Arne

doi:10.1016/j.jtbi.2008.11.023

Item

ITEM ACTIONSEXPORT

Add to Basket

Release HistoryDetailsSummary

Released

Journal Article

Strategy abundance in 2 x 2 games for arbitrary mutation rates

MPS-Authors

/persons/resource/persons56973

Traulsen, Arne
Department Evolutionary Ecology, Max Planck Institute for Evolutionary Biology, Max Planck Society;
Research Group Evolutionary Theory, Max Planck Institute for Evolutionary Biology, Max Planck Society;

External Resource

No external resources are shared

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

There are no public fulltexts stored in PuRe

Supplementary Material (public)

There is no public supplementary material available

Citation

Antal, T., Nowak, M. A., & Traulsen, A. (2008). Strategy abundance in 2 x 2 games for arbitrary mutation rates. Journal of Theoretical Biology, 257(2), 340-344. doi:10.1016/j.jtbi.2008.11.023.

Cite as: https://hdl.handle.net/11858/00-001M-0000-000F-D631-F

Abstract

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 2×2 payoff matrix View the MathML source. 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.