A Proof of the Convergence of the Hegselmann-Krause Dynamics on the Circle
arXiv:1504.05479
Originality Incremental advance
AI Analysis
For researchers in opinion dynamics and multi-agent systems, this closes a long-standing gap in the theoretical understanding of bounded-confidence models on non-Euclidean spaces.
The paper provides a complete proof of convergence for Hegselmann-Krause dynamics on the circle, resolving a previously open problem.
In this note, we give a complete proof that Hegselmann-Krause systems converge on the circle following the proof strategy developed by Hegarty, Martinsson, and Wedin.