A stabilization theorem for dynamics of continuous opinions
Jan Lorenz

TL;DR
This paper introduces a stabilization theorem for continuous opinion dynamics models, highlighting the role of self-confidence as a key factor in reaching stable opinions across various averaging-based models.
Contribution
It presents a general stabilization theorem applicable to multiple continuous opinion models, emphasizing the influence of self-confidence in opinion stabilization.
Findings
Self-confidence drives stabilization in opinion dynamics.
The theorem applies to models like Hegselmann-Krause and Weisbuch-Deffuant.
Provides a unified framework for understanding opinion stabilization.
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.
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