Dynamics of non-conservative voters

R. Lambiotte, S. Redner

    Résultats de recherche: Contribution à un journal/une revueArticleRevue par des pairs

    Résumé

    We study a family of opinion formation models in one dimension where the propensity for a voter to align with its local environment depends non-linearly on the fraction of disagreeing neighbors. Depending on this non-linearity in the voting rule, the population may exhibit a bias toward zero magnetization or toward consensus, and the average magnetization is generally not conserved. We use a decoupling approximation to truncate the equation hierarchy for multi-point spin correlations and thereby derive the probability to reach a final state of ↑ consensus as a function of the initial magnetization. The case when voters are influenced by more distant voters is also considered by investigating the Sznajd model.
    langue originaleAnglais
    journalEPL
    Volume82
    Numéro de publication1
    Les DOIs
    Etat de la publicationPublié - 1 avr. 2008

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