The Hegselmann-Krause Dynamics for the Continuous-Agent model and a Regular Opinion Function do not always lead to Consensus
Journal article, 2015
We present an example of a regular opinion function which, as it evolves in accordance with the discrete-time Hegselmann-Krause bounded confidence dynamics, always retains opinions which are separated by more than two. This confirms a conjecture of Blondel, Hendrickx and Tsitsiklis.
Hegselmann-Krause model
continuous agent model
regular function
Author
Edvin Wedin
Chalmers, Mathematical Sciences, Mathematics
University of Gothenburg
Peter Hegarty
Chalmers, Mathematical Sciences, Mathematics
University of Gothenburg
IEEE Transactions on Automatic Control
0018-9286 (ISSN) 1558-2523 (eISSN)
Vol. 60 9 2416-2421Areas of Advance
Information and Communication Technology
Roots
Basic sciences
Subject Categories
Discrete Mathematics
DOI
10.1109/TAC.2015.2396643