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  How mutation affects evolutionary games on graphs

Allen, B., Traulsen, A., Tarnita, C. E., & Nowak, M. A. (2012). How mutation affects evolutionary games on graphs. Journal of Theoretical Biology, 299, 97-105. doi:10.1016/j.jtbi.2011.03.034.

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 Creators:
Allen, Benjamin, Author
Traulsen, Arne1, Author              
Tarnita, Corina E., Author
Nowak, Martin A., Author
Affiliations:
1Research Group Evolutionary Theory, Max Planck Institute for Evolutionary Biology, Max Planck Society, ou_1445641              

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Free keywords: evolutionary game theory; mutation; cooperation; evolutionary graph theory; population structure
 Abstract: Evolutionary dynamics are affected by population structure, mutation rates and update rules. Spatial or network structure facilitates the clustering of strategies, which represents a mechanism for the evolution of cooperation. Mutation dilutes this effect. Here we analyze how mutation influences evolutionary clustering on graphs. We introduce new mathematical methods to evolutionary game theory, specifically the analysis of coalescing random walks via generating functions. These techniques allow us to derive exact identity-by-descent (IBD) probabilities, which characterize spatial assortment on lattices and Cayley trees. From these IBD probabilities we obtain exact conditions for the evolution of cooperation and other game strategies, showing the dual effects of graph topology and mutation rate. High mutation rates diminish the clustering of cooperators, hindering their evolutionary success. Our model can represent either genetic evolution with mutation, or social imitation processes with random strategy exploration.

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Language(s): eng - English
 Dates: 2012-04-21
 Publication Status: Published in print
 Pages: -
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 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 608956
DOI: 10.1016/j.jtbi.2011.03.034
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Title: Journal of Theoretical Biology
Source Genre: Journal
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Pages: - Volume / Issue: 299 Sequence Number: - Start / End Page: 97 - 105 Identifier: ISSN: 0022-5193 (print)
ISSN: 1095-8541 (online)