DPG Phi
Verhandlungen
Verhandlungen
DPG

Dresden 2011 – scientific programme

Parts | Days | Selection | Search | Updates | Downloads | Help

SOE: Fachverband Physik sozio-ökonomischer Systeme

SOE 19: Economic Models and Evolutionary Game Theory II (with BP, DY)

SOE 19.4: Talk

Thursday, March 17, 2011, 14:45–15:00, GÖR 226

Universality of weak selectionBin Wu1,2, •Philipp M. Altrock1, Long Wang2, and Arne Traulsen11Max-Planck-Institute for Evolutionary Biology, Plön — 2College of Engineering, Peking University, Beijing

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.

[1] Wu, Altrock, Wang, and Traulsen, Physical Review E 82, 046106 (2010).

100% | Mobile Layout | Deutsche Version | Contact/Imprint/Privacy
DPG-Physik > DPG-Verhandlungen > 2011 > Dresden