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System size stochastic resonance in a model for opinion formation

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  • Tessone, Claudio J.
  • Toral, Raúl

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.

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  • Tessone, Claudio J. & Toral, Raúl, 2005. "System size stochastic resonance in a model for opinion formation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 351(1), pages 106-116.
    • Handle: RePEc:eee:phsmap:v:351:y:2005:i:1:p:106-116
    DOI: 10.1016/j.physa.2004.12.012
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    1. Zhu, Shushuai & Buongiorno, Joseph & Brooks, David J., 2001. "Effects of accelerated tariff liberalization on the forest products sector: a global modeling approach," Forest Policy and Economics, Elsevier, vol. 2(1), pages 57-78, April.
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    Cited by:

    1. Silver, Steven D. & Raseta, Marko & Bazarova, Alina, 2023. "Stochastic resonance in the recovery of signal from agent price expectations," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    2. Braha, Dan & de Aguiar, Marcus A. M., 2018. "Voting contagion: Modeling and analysis of a century of U.S. presidential elections," SocArXiv mzxnr, Center for Open Science.
    3. Gimenez, M.C. & Revelli, J.A. & Lama, M.S. de la & Lopez, J.M. & Wio, H.S., 2013. "Interplay between social debate and propaganda in an opinion formation model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(1), pages 278-286.
    4. Reppas, Andreas I. & Spiliotis, Konstantinos & Siettos, Constantinos I., 2015. "Tuning the average path length of complex networks and its influence to the emergent dynamics of the majority-rule model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 109(C), pages 186-196.

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