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Emergence and resilience of cooperation in the spatial prisoner's dilemma via a reward mechanism

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dc.affiliation.dptoUC3M. Departamento de Estadísticaes
dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Interdisciplinar de Sistemas Complejos (GISC)es
dc.contributor.authorJiménez Recaredo, Raúl José
dc.contributor.authorCuesta, José A.
dc.contributor.authorSánchez, Angel
dc.contributor.authorLugo, Haydeé
dc.date.accessioned2010-03-09T15:26:56Z
dc.date.available2010-03-09T15:26:56Z
dc.date.issued2008-02-07
dc.description9 pages, 5 figures.-- ArXiv pre-print available at: http://arxiv.org/abs/0706.0648
dc.descriptionFinal publisher version available Open Access at: http://gisc.uc3m.es/~cuesta/papers-year.html
dc.description.abstractWe study the problem of the emergence of cooperation in the spatial Prisoner's Dilemma. The pioneering work by Nowak and May [1992. Evolutionary games and spatial chaos. Nature 415, 424–426] showed that large initial populations of cooperators can survive and sustain cooperation in a square lattice with imitate-the-best evolutionary dynamics. We revisit this problem in a cost–benefit formulation suitable for a number of biological applications. We show that if a fixed-amount reward is established for cooperators to share, a single cooperator can invade a population of defectors and form structures that are resilient to re-invasion even if the reward mechanism is turned off. We discuss analytically the case of the invasion by a single cooperator and present agent-based simulations for small initial fractions of cooperators. Large cooperation levels, in the sustainability range, are found. In the conclusions we discuss possible applications of this model as well as its connections with other mechanisms proposed to promote the emergence of cooperation.
dc.description.sponsorshipThis work is partially supported by Ministerio de Educación y Ciencia (Spain) under Grants Ingenio-MATHEMATICA, MOSAICO and NAN2004-9087-C03-03 and by Comunidad de Madrid (Spain) under Grants SIMUMAT and MOSSNOHO.
dc.description.statusPublicado
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationJournal of Theoretical Biology, 2008, vol. 250, n. 3, p. 475-483
dc.identifier.doi10.1016/j.jtbi.2007.10.010
dc.identifier.issn0022-5193
dc.identifier.urihttps://hdl.handle.net/10016/7201
dc.language.isoeng
dc.publisherElsevier
dc.relation.publisherversionhttp://dx.doi.org/10.1016/j.jtbi.2007.10.010
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticas
dc.subject.otherEmergence of cooperation
dc.subject.otherEvolutionary game theory
dc.titleEmergence and resilience of cooperation in the spatial prisoner's dilemma via a reward mechanism
dc.typeresearch article*
dc.type.reviewPeerReviewed
dspace.entity.typePublication
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