Universality of weak selection

DSpace/Manakin Repository

Universality of weak selection

Citable link to this page

 

 
Title: Universality of weak selection
Author: Bin Wu; Altrock, Philipp Martin; Wang, Long; Traulsen, Arne

Note: Order does not necessarily reflect citation order of authors.

Citation: Wu, Bin, Philipp M. Altrock, Long Wang, and Arne Traulsen. 2010. “Universality of Weak Selection.” Phys. Rev. E 82 (4) (October 13). doi:10.1103/physreve.82.046106.
Full Text & Related Files:
Abstract: Weak selection, which means a phenotype is slightly advantageous over another, is an important limiting case in evolutionary biology. Recently, it has been introduced into evolutionary game theory. In evolutionary game dynamics, the probability to be imitated or to reproduce depends on the performance in a game. The influence of the game on the stochastic dynamics in finite populations is governed by the intensity of selection. In many models of both unstructured and structured populations, a key assumption allowing analytical calculations is weak selection, which means that all individuals perform approximately equally well. In the weak selection limit many different microscopic evolutionary models have the same or similar properties. How universal is weak selection for those microscopic evolutionary processes? We answer this question by investigating the fixation probability and the average fixation time not only up to linear but also up to higher orders in selection intensity. We find universal higher order expansions, which allow a rescaling of the selection intensity. With this, we can identify specific models which violate (linear) weak selection results, such as the one-third rule of coordination games in finite but large populations.
Published Version: doi:10.1103/physreve.82.046106
Terms of Use: This article is made available under the terms and conditions applicable to Other Posted Material, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#LAA
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:29353643
Downloads of this work:

Show full Dublin Core record

This item appears in the following Collection(s)

 
 

Search DASH


Advanced Search
 
 

Submitters