A stabilization theorem for dynamics of continuous opinions
arXiv:0708.2981 · doi:10.1016/j.physa.2005.02.086
Abstract
A stabilization theorem for processes of opinion dynamics is presented. The theorem is applicable to a wide class of models of continuous opinion dynamics based on averaging (like the models of Hegselmann-Krause and Weisbuch-Deffuant). The analysis detects self-confidence as a driving force of stabilization.
7 pages, no figures, first time presented at First Bonzenfreies Colloquium on Market Dynamics and Quantitative Economics, Sep 9/10 2004
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- Continuous Opinion Dynamics: Insights through Interactive Markov Chains
- Fixed points in models of continuous opinion dynamics under bounded confidence
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- Convergence of products of stochastic matrices with positive diagonals and the opinion dynamics background