Replicator equation on networks with degree regular communities

The replicator equation is one of the fundamental tools to study evolutionary dynamics in well-mixed populations. This paper contributes to the literature on evolutionary graph theory, providing a version of the replicator equation for a family of connected networks with communities, where nodes in...

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Detalles Bibliográficos
Autor principal: Cassese, Daniele
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6214305/
https://www.ncbi.nlm.nih.gov/pubmed/30839808
http://dx.doi.org/10.1007/s41109-018-0083-2
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author Cassese, Daniele
author_facet Cassese, Daniele
author_sort Cassese, Daniele
collection PubMed
description The replicator equation is one of the fundamental tools to study evolutionary dynamics in well-mixed populations. This paper contributes to the literature on evolutionary graph theory, providing a version of the replicator equation for a family of connected networks with communities, where nodes in the same community have the same degree. This replicator equation is applied to the study of different classes of games, exploring the impact of the graph structure on the equilibria of the evolutionary dynamics.
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spelling pubmed-62143052018-11-13 Replicator equation on networks with degree regular communities Cassese, Daniele Appl Netw Sci Research The replicator equation is one of the fundamental tools to study evolutionary dynamics in well-mixed populations. This paper contributes to the literature on evolutionary graph theory, providing a version of the replicator equation for a family of connected networks with communities, where nodes in the same community have the same degree. This replicator equation is applied to the study of different classes of games, exploring the impact of the graph structure on the equilibria of the evolutionary dynamics. Springer International Publishing 2018-08-13 2018 /pmc/articles/PMC6214305/ /pubmed/30839808 http://dx.doi.org/10.1007/s41109-018-0083-2 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Cassese, Daniele
Replicator equation on networks with degree regular communities
title Replicator equation on networks with degree regular communities
title_full Replicator equation on networks with degree regular communities
title_fullStr Replicator equation on networks with degree regular communities
title_full_unstemmed Replicator equation on networks with degree regular communities
title_short Replicator equation on networks with degree regular communities
title_sort replicator equation on networks with degree regular communities
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6214305/
https://www.ncbi.nlm.nih.gov/pubmed/30839808
http://dx.doi.org/10.1007/s41109-018-0083-2
work_keys_str_mv AT cassesedaniele replicatorequationonnetworkswithdegreeregularcommunities

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