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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...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
The Royal Society
2016
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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 |
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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 |