Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/74200
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Type: | Journal article |
Title: | Mixing times in evolutionary game dynamics |
Author: | Black, A. Traulsen, A. Galla, T. |
Citation: | Physical Review Letters, 2012; 109(2):1-5 |
Publisher: | American Physical Soc |
Issue Date: | 2012 |
ISSN: | 0031-9007 1079-7114 |
Statement of Responsibility: | Andrew J. Black, Arne Traulsen and Tobias Galla |
Abstract: | Without mutation and migration, evolutionary dynamics ultimately leads to the extinction of all but one species. Such fixation processes are well understood and can be characterized analytically with methods from statistical physics. However, many biological arguments focus on stationary distributions in a mutation-selection equilibrium. Here, we address the mixing time required to reach stationarity in the presence of mutation. We show that mixing times in evolutionary games have the opposite behavior from fixation times when the intensity of selection increases: in coordination games with bistabilities, the fixation time decreases, but the mixing time increases. In coexistence games with metastable states, the fixation time increases, but the mixing time decreases. Our results are based on simulations and the Wentzel-Kramers-Brillouin approximation of the master equation. |
Keywords: | Mutation Game Theory Models, Genetic Time Factors Biological Evolution |
Rights: | ©2012 American Physical Society |
DOI: | 10.1103/PhysRevLett.109.028101 |
Published version: | http://dx.doi.org/10.1103/physrevlett.109.028101 |
Appears in Collections: | Aurora harvest Mathematical Sciences publications |
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File | Description | Size | Format | |
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hdl_74200.pdf | Published version | 399.18 kB | Adobe PDF | View/Open |
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