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  Ordering structured populations in multiplayer cooperation games

Peña, J., Wu, B., & Traulsen, A. (2016). Ordering structured populations in multiplayer cooperation games. Journal of the Royal Society, Interface / the Royal Society, 13(114): 20150881. doi:10.1098/rsif.2015.0881.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-C40B-1 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-002D-204B-E
Genre: Journal Article

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Pena_Wu_Traulsen_2016.pdf (Publisher version), 480KB
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 Creators:
Peña, Jorge1, Author              
Wu, Bin1, Author              
Traulsen, Arne1, Author              
Affiliations:
1Department Evolutionary Theory, Max Planck Institute for Evolutionary Biology, Max Planck Society, ou_1445641              

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Free keywords: computational geometry; evolutionary game theory; order theory; spatial structure; stochastic orders
 Abstract: Spatial structure greatly affects the evolution of cooperation. While in two-player games the condition for cooperation to evolve depends on a single structure coefficient, in multiplayer games the condition might depend on several structure coefficients, making it difficult to compare different population structures. We propose a solution to this issue by introducing two simple ways of ordering population structures: the containment order and the volume order. If population structure [Formula: see text] is greater than population structure [Formula: see text] in the containment or the volume order, then [Formula: see text] can be considered a stronger promoter of cooperation. We provide conditions for establishing the containment order, give general results on the volume order, and illustrate our theory by comparing different models of spatial games and associated update rules. Our results hold for a large class of population structures and can be easily applied to specific cases once the structure coefficients have been calculated or estimated.

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Language(s): eng - English
 Dates: 2015-10-082016-01-042016-01-272016-01
 Publication Status: Published in print
 Pages: -
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 Identifiers: DOI: 10.1098/rsif.2015.0881
BibTex Citekey: pena_ordering_2016
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Project name : Swiss national Science Foundation
Grant ID : PBLAP3-145860
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Title: Journal of the Royal Society, Interface / the Royal Society
Source Genre: Journal
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Pages: 8 Seiten Volume / Issue: 13 (114) Sequence Number: 20150881 Start / End Page: - Identifier: ISSN: 1742-5662