Replicator equation on networks with degree regular communities

Abstract 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...

Full description

Bibliographic Details
Main Author:	Daniele Cassese
Format:	Article
Language:	English
Published:	SpringerOpen 2018-08-01
Series:	Applied Network Science
Subjects:	Replicator equation Evolutionary graph theory Prisoner’s dilemma Hawk-Dove Coordination
Online Access:	http://link.springer.com/article/10.1007/s41109-018-0083-2

id	doaj-7162e1831768405eae5657ed4304f9a4
record_format	Article
spelling	doaj-7162e1831768405eae5657ed4304f9a42020-11-25T02:09:19ZengSpringerOpenApplied Network Science2364-82282018-08-013111410.1007/s41109-018-0083-2Replicator equation on networks with degree regular communitiesDaniele Cassese0Department of Mathematics, University of Namur, NaXysAbstract 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.http://link.springer.com/article/10.1007/s41109-018-0083-2Replicator equationEvolutionary graph theoryPrisoner’s dilemmaHawk-DoveCoordination
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Daniele Cassese
spellingShingle	Daniele Cassese Replicator equation on networks with degree regular communities Applied Network Science Replicator equation Evolutionary graph theory Prisoner’s dilemma Hawk-Dove Coordination
author_facet	Daniele Cassese
author_sort	Daniele Cassese
title	Replicator equation on networks with degree regular communities
title_short	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_sort	replicator equation on networks with degree regular communities
publisher	SpringerOpen
series	Applied Network Science
issn	2364-8228
publishDate	2018-08-01
description	Abstract 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.
topic	Replicator equation Evolutionary graph theory Prisoner’s dilemma Hawk-Dove Coordination
url	http://link.springer.com/article/10.1007/s41109-018-0083-2
work_keys_str_mv	AT danielecassese replicatorequationonnetworkswithdegreeregularcommunities
_version_	1724924565565472768

Replicator equation on networks with degree regular communities

Similar Items