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  Strategy abundance in evolutionary many-player games with multiple strategies

Gokhale, C. S., & Traulsen, A. (2011). Strategy abundance in evolutionary many-player games with multiple strategies. Journal of Theoretical Biology, 283, 180-191. doi:10.1016/j.tbi.2011.05.031.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-D421-3 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-D422-1
Genre: Journal Article

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Gokhale_2011.pdf (Publisher version), 624KB
 
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 Creators:
Gokhale, Chaitanya S.1, Author              
Traulsen, Arne1, Author              
Affiliations:
1Research Group Evolutionary Theory, Max Planck Institute for Evolutionary Biology, Max Planck Society, ou_1445641              

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Free keywords: many-player game theory; multiple strategies; coalescence theory; abundance
 Abstract: Evolutionary game theory is an abstract and simple, but very powerful way to model evolutionary dynamics. Even complex biological phenomena can sometimes be abstracted to simple two-player games. But often, the interaction between several parties determines evolutionary success. Rather than pair-wise interactions, in this case we must take into account the interactions between manyp layers, which are inherently more complicated than the usual two-player games, butcan still yield simple results. In this manuscript we derive the composition of a many-player multiple strategy system in the mutation–selection equilibrium. This results in a simple expression which can be obtained by recursions using coalescence theory. This approach can be modified to suit a variety of contexts, e.g. to find the equilibrium frequencies of a finite number of alleles in a polymorphism or that of different strategies in a social dilemma in a cultural context.

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Language(s): eng - English
 Dates: 2011
 Publication Status: Published in print
 Pages: -
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 Table of Contents: -
 Rev. Method: -
 Identifiers: eDoc: 564943
DOI: 10.1016/j.tbi.2011.05.031
Other: 2841/S 39184
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Title: Journal of Theoretical Biology
Source Genre: Journal
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Pages: - Volume / Issue: 283 Sequence Number: - Start / End Page: 180 - 191 Identifier: ISSN: 0022-5193 (print)
ISSN: 1095-8541 (online)