Pairwise comparison and selection temperature in evolutionary game dynamics

Traulsen, Arne; Pacheco, Jorge M.; Nowak, Martin A.

doi:10.1016/j.jtbi.2007.01.002

Item

ITEM ACTIONSEXPORT

Add to Basket

Release HistoryDetailsSummary

Released

Journal Article

Pairwise comparison and selection temperature in evolutionary game dynamics

MPS-Authors

There are no MPG-Authors in the publication available

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

Traulsen, A., Pacheco, J. M., & Nowak, M. A. (2007). Pairwise comparison and selection temperature in evolutionary game dynamics. Journal of Theoretical Biology, 246(3), 522-529. doi:10.1016/j.jtbi.2007.01.002.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0010-0FEF-4

Abstract

Recently, the frequency-dependent Moran process has been introduced in order to describe evolutionary game dynamics in finite populations. Here, an alternative to this process is investigated that is based on pairwise comparison between two individuals. We follow a long tradition in the physics community and introduce a temperature (of selection) to account for stochastic effects. We calculate the fixation probabilities and fixation times for any symmetric 2 x 2 game, for any intensity of selection and any initial number of mutants. The temperature can be used to gauge continuously from neutral drift to the extreme selection intensity known as imitation dynamics. For some payoff matrices the distribution of fixation times can become so broad that the average value is no longer very meaningful. (C) 2007 Elsevier Ltd. All rights reserved.