System size stochastic resonance in a model for opinion formation

Claudio J. Tessone and Raúl Toral

Physica A: Statistical Mechanics and its Applications, 2005, vol. 351, issue 1, 106-116

Abstract: 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.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:351:y:2005:i:1:p:106-116

DOI: 10.1016/j.physa.2004.12.012

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