Dynamics of non-conservative voters

R. Lambiotte, S. Redner

    Research output: Contribution to journalArticlepeer-review


    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.
    Original languageEnglish
    Issue number1
    Publication statusPublished - 1 Apr 2008


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