System size stochastic resonance in a model for opinion formation

Details System size stochastic resonance in a model for opinion formation System size stochastic resonance in a model for opinion formation

2004-09-23

arxiv.org/abs/cond-mat/0409620v1

Physics

Condensed Matter

Statistical Mechanics

10 pages, to appear in Physica A

Scientific paper

10.1016/j.physa.2004.12.012

We 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.

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