Opinion dynamics on an adaptive random network

dc.contributorVirginia Techen
dc.contributor.authorBenczik, I. J.en
dc.contributor.authorBenczik, S. Z.en
dc.contributor.authorSchmittmann, Beateen
dc.contributor.authorZia, Royce K. P.en
dc.contributor.departmentPhysicsen
dc.date.accessed2013-12-17en
dc.date.accessioned2014-01-17T13:41:31Zen
dc.date.available2014-01-17T13:41:31Zen
dc.date.issued2009-04en
dc.description.abstractWe revisit the classical model for voter dynamics in a two-party system with two basic modifications. In contrast to the original voter model studied in regular lattices, we implement the opinion formation process in a random network of agents in which interactions are no longer restricted by geographical distance. In addition, we incorporate the rapidly changing nature of the interpersonal relations in the model. At each time step, agents can update their relationships. This update is determined by their own opinion, and by their preference to make connections with individuals sharing the same opinion, or rather with opponents. In this way, the network is built in an adaptive manner, in the sense that its structure is correlated and evolves with the dynamics of the agents. The simplicity of the model allows us to examine several issues analytically. We establish criteria to determine whether consensus or polarization will be the outcome of the dynamics and on what time scales these states will be reached. In finite systems consensus is typical, while in infinite systems a disordered metastable state can emerge and persist for infinitely long time before consensus is reached.en
dc.description.sponsorshipNational Science Foundation DMR-0705152en
dc.description.sponsorshipCollege of Science at Virginia Techen
dc.identifier.citationBenczik, I. J. ; Benczik, S. Z. ; Schmittmann, B. ; et al., Apr 2009. "Opinion dynamics on an adaptive random network," PHYSICAL REVIEW E 79(4): 046104. DOI: 10.1103/PhysRevE.79.046104en
dc.identifier.doihttps://doi.org/10.1103/PhysRevE.79.046104en
dc.identifier.issn1539-3755en
dc.identifier.urihttp://hdl.handle.net/10919/24871en
dc.identifier.urlhttp://link.aps.org/doi/10.1103/PhysRevE.79.046104en
dc.language.isoen_USen
dc.publisherAmerican Physical Societyen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectgame theoryen
dc.subjectnetwork theory (graphs)en
dc.subjectnonlinear dynamical systemsen
dc.subjectrandom processesen
dc.subjectstochastic spatial modelsen
dc.subjectsmall-world networksen
dc.subjectvoter modelen
dc.subjectcatalytic-reactionsen
dc.subjectcommunityen
dc.subjectevolutionen
dc.subjectkineticsen
dc.subjectPhysicsen
dc.titleOpinion dynamics on an adaptive random networken
dc.title.serialPhysical Review Een
dc.typeArticle - Refereeden

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