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)

Vol. 60 9 2416-2421

Areas of Advance

Information and Communication Technology

Roots

Basic sciences

Subject Categories

Discrete Mathematics

DOI

10.1109/TAC.2015.2396643

More information

Created

10/8/2017