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dc.creatorWoolcock, Anthony-
dc.creatorConnaughton, Colm-
dc.creatorMerali, Yasmin-
dc.creatorVazquez, Federico-
dc.date2018-06-08T18:53:29Z-
dc.date2018-06-08T18:53:29Z-
dc.date2017-09-
dc.date2018-06-08T14:28:14Z-
dc.date.accessioned2019-04-29T15:43:22Z-
dc.date.available2019-04-29T15:43:22Z-
dc.date.issued2017-09-
dc.identifierWoolcock, Anthony; Connaughton, Colm; Merali, Yasmin; Vazquez, Federico; Fitness voter model: Damped oscillations and anomalous consensus; American Physical Society; Physical Review E; 96; 3; 9-2017; 1-14-
dc.identifier2470-0045-
dc.identifierhttp://hdl.handle.net/11336/47941-
dc.identifierCONICET Digital-
dc.identifierCONICET-
dc.identifier.urihttp://rodna.bn.gov.ar:8080/jspui/handle/bnmm/300324-
dc.descriptionWe study the dynamics of opinion formation in a heterogeneous voter model on a complete graph, in which each agent is endowed with an integer fitness parameter k ≥ 0 , in addition to its + or − opinion state. The evolution of the distribution of k -values and the opinion dynamics are coupled together, so as to allow the system to dynamically develop heterogeneity and memory in a simple way. When two agents with different opinions interact, their k -values are compared, and with probability p the agent with the lower value adopts the opinion of the one with the higher value, while with probability 1 − p the opposite happens. The agent that keeps its opinion (winning agent) increments its k -value by one. We study the dynamics of the system in the entire 0 ≤ p ≤ 1 range and compare with the case p = 1 / 2 , in which opinions are decoupled from the k -values and the dynamics is equivalent to that of the standard voter model. When 0 ≤ p < 1 / 2 , agents with higher k -values are less persuasive, and the system approaches exponentially fast to the consensus state of the initial majority opinion. The mean consensus time τ appears to grow logarithmically with the number of agents N , and it is greatly decreased relative to the linear behavior τ ∼ N found in the standard voter model. When 1 / 2 < p ≤ 1 , agents with higher k -values are more persuasive, and the system initially relaxes to a state with an even coexistence of opinions, but eventually reaches consensus by finite-size fluctuations. The approach to the coexistence state is monotonic for 1 / 2 < p < p o ≃ 0.8 , while for p o ≤ p ≤ 1 there are damped oscillations around the coexistence value. The final approach to coexistence is approximately a power law t − b ( p ) in both regimes, where the exponent b increases with p . Also, τ increases respect to the standard voter model, although it still scales linearly with N . The p = 1 case is special, with a relaxation to coexistence that scales as t − 2.73 and a consensus time that scales as τ ∼ N β , with β ≃ 1.45 .-
dc.descriptionFil: Woolcock, Anthony. University of Warwick; Reino Unido-
dc.descriptionFil: Connaughton, Colm. University of Warwick; Reino Unido. London Mathematical Laboratory; Reino Unido. University of California; Estados Unidos-
dc.descriptionFil: Merali, Yasmin. University of Hull; Reino Unido-
dc.descriptionFil: Vazquez, Federico. University of Warwick; Reino Unido. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; Argentina-
dc.formatapplication/pdf-
dc.formatapplication/pdf-
dc.languageeng-
dc.publisherAmerican Physical Society-
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/https://dx.doi.org/10.1103/PhysRevE.96.032313-
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.96.032313-
dc.rightsinfo:eu-repo/semantics/openAccess-
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/-
dc.sourcereponame:CONICET Digital (CONICET)-
dc.sourceinstname:Consejo Nacional de Investigaciones Científicas y Técnicas-
dc.sourceinstacron:CONICET-
dc.subjectOPINION FORMATION-
dc.subjectHETEROGENEOUS VOTER MODEL-
dc.subjectSTOCHASTIC PROCESS-
dc.subjectINTRINSIC FITNESS-
dc.subjectOtras Ciencias Físicas-
dc.subjectCiencias Físicas-
dc.subjectCIENCIAS NATURALES Y EXACTAS-
dc.titleFitness voter model: Damped oscillations and anomalous consensus-
dc.typeinfo:eu-repo/semantics/article-
dc.typeinfo:eu-repo/semantics/publishedVersion-
dc.typeinfo:ar-repo/semantics/articulo-
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