Mobilia, M orcid.org/0000-0002-1424-567X and Assaf, M (2010) Fixation in evolutionary games under non-vanishing selection. EPL, 91. 10002. ISSN 0295-5075
Abstract
One of the most striking effect of fluctuations in evolutionary game theory is the possibility for mutants to fixate (take over) an entire population. Here, we generalize a recent WKB-based theory to study fixation in evolutionary games under non-vanishing selection, and investigate the relation between selection intensity w and demographic (random) fluctuations. This allows the accurate treatment of large fluctuations and yields the probability and mean times of fixation beyond the weak-selection limit. The power of the theory is demonstrated on prototypical models of cooperation dilemmas with multiple absorbing states. Our predictions compare excellently with numerical simulations and, for finite w, significantly improve over those of the Fokker-Planck approximation.
Metadata
Item Type: | Article |
---|---|
Authors/Creators: |
|
Copyright, Publisher and Additional Information: | Copyright (c) EPLA, 2010. This is an author produced version of a paper published in EPL. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Finite Populations |
Dates: |
|
Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 07 Mar 2019 16:08 |
Last Modified: | 10 Mar 2019 05:50 |
Status: | Published |
Publisher: | IOP Publishing |
Identification Number: | 10.1209/0295-5075/91/10002 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:87679 |