Cargando…

Ordering structured populations in multiplayer cooperation games

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 pop...

Descripción completa

Detalles Bibliográficos
Autores principales: Peña, Jorge, Wu, Bin, Traulsen, Arne
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Royal Society 2016
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4759793/
https://www.ncbi.nlm.nih.gov/pubmed/26819335
http://dx.doi.org/10.1098/rsif.2015.0881
_version_ 1782416785502371840
author Peña, Jorge
Wu, Bin
Traulsen, Arne
author_facet Peña, Jorge
Wu, Bin
Traulsen, Arne
author_sort Peña, Jorge
collection PubMed
description 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 [Image: see text] is greater than population structure [Image: see text] in the containment or the volume order, then [Image: 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.
format Online
Article
Text
id pubmed-4759793
institution National Center for Biotechnology Information
language English
publishDate 2016
publisher The Royal Society
record_format MEDLINE/PubMed
spelling pubmed-47597932016-03-04 Ordering structured populations in multiplayer cooperation games Peña, Jorge Wu, Bin Traulsen, Arne J R Soc Interface Research Articles 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 [Image: see text] is greater than population structure [Image: see text] in the containment or the volume order, then [Image: 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. The Royal Society 2016-01 /pmc/articles/PMC4759793/ /pubmed/26819335 http://dx.doi.org/10.1098/rsif.2015.0881 Text en © 2016 The Authors. http://creativecommons.org/licenses/by/4.0/ Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited.
spellingShingle Research Articles
Peña, Jorge
Wu, Bin
Traulsen, Arne
Ordering structured populations in multiplayer cooperation games
title Ordering structured populations in multiplayer cooperation games
title_full Ordering structured populations in multiplayer cooperation games
title_fullStr Ordering structured populations in multiplayer cooperation games
title_full_unstemmed Ordering structured populations in multiplayer cooperation games
title_short Ordering structured populations in multiplayer cooperation games
title_sort ordering structured populations in multiplayer cooperation games
topic Research Articles
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4759793/
https://www.ncbi.nlm.nih.gov/pubmed/26819335
http://dx.doi.org/10.1098/rsif.2015.0881
work_keys_str_mv AT penajorge orderingstructuredpopulationsinmultiplayercooperationgames
AT wubin orderingstructuredpopulationsinmultiplayercooperationgames
AT traulsenarne orderingstructuredpopulationsinmultiplayercooperationgames