Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774092 | Journal of Differential Equations | 2017 | 33 Pages |
Abstract
This paper establishes the global well-posedness of the nonlinear Fokker-Planck equation for a noisy version of the Hegselmann-Krause model. The equation captures the mean-field behavior of a classic multiagent system for opinion dynamics. We prove the global existence, uniqueness, nonnegativity and regularity of the weak solution. We also exhibit a global stability condition, which delineates a forbidden region for consensus formation. This is the first nonlinear stability result derived for the Hegselmann-Krause model.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Bernard Chazelle, Quansen Jiu, Qianxiao Li, Chu Wang,