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System size stochastic resonance in a model for opinion formation

AuthorsTessone, Claudio J.; Toral, Raúl
Keywords[PACS] Dynamics of social systems
[PACS] Noise
[PACS] Stochastic processes
Issue Date5-Jan-2005
CitationPhysica A 351(1): 106-116 (2005)
AbstractWe study a model for opinion formation which incorporates three basic ingredients for the evolution of the opinion held by an individual: imitation, influence of fashion and randomness. We show that in the absence of fashion, the model behaves as a bistable system with random jumps between the two stable states with a distribution of times following Kramer's law. We also demonstrate the existence of system size stochastic resonance, by which there is an optimal value for the number of individuals N for which the average opinion follows better the fashion.
Description11 pages, 7 figures.-- PACS nrs.: 87.23.Ge; 05.40.Ca; 02.50.Ey.-- ArXiv pre-print available: http://arxiv.org/abs/cond-mat/0409620v1
Publisher version (URL)http://dx.doi.org/10.1016/j.physa.2004.12.012
Appears in Collections:(IFISC) Artículos
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