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Hierarchical invasion of cooperation in complex networks

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Interdisciplinar de Sistemas Complejos (GISC)es
dc.contributor.authorVilone, Daniele
dc.contributor.authorCaprano, Valerio
dc.contributor.authorRamasco, Jose. J
dc.contributor.funderEuropean Commissionen
dc.contributor.funderMinisterio de Economía y Competitividad (España)es
dc.date.accessioned2019-07-16T08:20:20Z
dc.date.available2019-07-16T08:20:20Z
dc.date.issued2018-02-01
dc.description.abstractThe emergence and survival of cooperation is one of the hardest problems still open in science. Several factors such as the existence of punishment, repeated interactions, topological effects and the formation of prestige may all contribute to explain the counter-intuitive prevalence of cooperation in natural and social systems. The characteristics of the interaction networks have been also signaled as an element favoring the persistence of cooperators. Here we consider the invasion dynamics of cooperative behaviors in complex topologies. The invasion of a heterogeneous network fully occupied by defectors is performed starting from nodes with a given number of connections (degree) k(0). The system is then evolved within a Prisoner's Dilemma game and the outcome is analyzed as a function of k0 and the degree k of the nodes adopting cooperation. Carried out using both numerical and analytical approaches, our results show that the invasion proceeds following preferentially a hierarchical order in the nodes from those with higher degree to those with lower degree. However, the invasion of cooperation will succeed only when the initial cooperators are numerous enough to form a cluster from which cooperation can spread. This implies that the initial condition has to be a suitable equilibrium between high degree and high numerosity. These findings have potential applications to the problem of promoting pro-social behaviors in complex networks.en
dc.description.sponsorshipDV acknowledges the support from H2020 FETPROACT-GSS CIMPLEX, Grant No. 641191 and from the PROTON project, Grant No. N. 699824. VC acknowledges the support from the Dutch Research Organization (NWO) Grant No. 612.001.352. JJR acknowledges funding from the Spanish Ministry of Economy and Competitiveness (MINECO) and FEDER (EU) under the grant ESOTECOS (FIS2015-63628-C2-2-R)en
dc.format.extent13
dc.identifier.bibliographicCitationVilone, D., Capraro, V. y Ramasco, J. J. (2018). Hierarchical invasion of cooperation in complex networks. Journal of Physics Communications, 2(2).en
dc.identifier.doi10.1088/2399-6528/aaab2e
dc.identifier.issn2399-6528
dc.identifier.publicationtitleJournal of Physics Communicationsen
dc.identifier.urihttps://hdl.handle.net/10016/28609
dc.identifier.uxxiAR/0000021623
dc.language.isoengen
dc.publisherIOP Publishingen
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/H2020/641191en
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/H2020/699824en
dc.relation.projectIDGobierno de España. FIS2015-63628-C2-2-Res
dc.rights© 2018 The Author(s). Published by IOP Publishing Ltd.en
dc.rightsAtribución 3.0 España*
dc.rights.accessRightsopen accessen
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/*
dc.subject.ecienciaMatemáticases
dc.subject.otherEvolutionary dynamicsen
dc.subject.otherCooperationen
dc.subject.otherComplex systemsen
dc.subject.otherInvasion processesen
dc.titleHierarchical invasion of cooperation in complex networksen
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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