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Stability and robustness analysis of cooperation cycles driven by destructive agents in finite populations

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Interdisciplinar de Sistemas Complejos (GISC)es
dc.contributor.authorRequejo, Rubén J.
dc.contributor.authorCamacho, Juan
dc.contributor.authorCuesta, José A.
dc.contributor.authorArenas, Alex
dc.date.accessioned2014-06-11T12:56:13Z
dc.date.available2014-06-11T12:56:13Z
dc.date.issued2012-08-01
dc.description.abstractThe emergence and promotion of cooperation are two of the main issues in evolutionary game theory, as cooperation is amenable to exploitation by defectors, which take advantage of cooperative individuals at no cost, dooming them to extinction. It has been recently shown that the existence of purely destructive agents (termed jokers) acting on the common enterprises (public goods games) can induce stable limit cycles among cooperation, defection, and destruction when infinite populations are considered. These cycles allow for time lapses in which cooperators represent a relevant fraction of the population, providing a mechanism for the emergence of cooperative states in nature and human societies. Here we study analytically and through agent-based simulations the dynamics generated by jokers in finite populations for several selection rules. Cycles appear in all cases studied, thus showing that the joker dynamics generically yields a robust cyclic behavior not restricted to infinite populations. We also compute the average time in which the population consists mostly of just one strategy and compare the results with numerical simulations.en
dc.description.sponsorshipFinancial support from the Ministerio de Ciencia y Tecnología (Spain) under Projects No. FIS2009-13730-C02-02 (A.A.) and No. FIS2009-13370-C02-01 (J.C. and R.J.R.), MOSAICO, PRODIEVO, and Complexity-NET RESINEE (J.A.C.); from the Barcelona Graduate School of Economics and the government of Catalonia (A.A.); from the Generalitat de Catalunya under Projects No. 2009SGR0838 (A.A.) and No. 2009SGR0164 (J.C. and R.J.R.); and from Comunidad de Madrid under Project MODELICO-CM (J.A.C.) is appreciated. R.J.R. acknowledges the financial support of the Universitat Autònoma de Barcelona and the Spanish government.en
dc.format.extent11es
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationPhysical review. E, Statistical, nonlinear, and soft matter physics, 86(2) 026105 (Aug. 2012)en
dc.identifier.doi10.1103/PhysRevE.86.026105
dc.identifier.issn1539-3755
dc.identifier.publicationfirstpage026105-1es
dc.identifier.publicationissue2es
dc.identifier.publicationlastpage026105-11es
dc.identifier.publicationtitlePhysical review. E, Statistical, nonlinear, and soft matter physicsen
dc.identifier.publicationvolume86es
dc.identifier.urihttps://hdl.handle.net/10016/18985
dc.identifier.uxxiAR/0000010183
dc.language.isoenges
dc.publisherAmerican Physical Societyes
dc.relation.projectIDComunidad de Madrid. S2009/ESP-1691/MODELICOes
dc.relation.projectIDGobierno de España. FIS2011-22449/PRODIEVO
dc.relation.projectIDGobierno de España. FIS2009-13730-C02-02
dc.relation.projectIDGobierno de España. FIS2009-13370-C02-01
dc.relation.projectIDGobierno de España. FIS2006-01485/MOSAICO
dc.relation.publisherversionhttp://dx.doi.org/10.1103/PhysRevE.86.026105es
dc.rights© 2012 American Physical Societyen
dc.rightsReconocimiento-NoComercial-SinObraDerivada 3.0 Españaes
dc.rights.accessRightsopen accesses
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject.ecienciaMatemáticases
dc.subject.otherEvolutionary game dynamicsen
dc.subject.otherNetwork reciprocityen
dc.subject.otherNonditional cooperationen
dc.titleStability and robustness analysis of cooperation cycles driven by destructive agents in finite populationsen
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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