Title :
The Hegselmann-Krause Dynamics for the Continuous-Agent Model and a Regular Opinion Function Do Not Always Lead to Consensus
Author :
Wedin, Edvin ; Hegarty, Peter
Author_Institution :
Dept. of Math. Sci., Chalmers Univ. of Technol., Göteborg, Sweden
Abstract :
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.
Keywords :
discrete time systems; multi-agent systems; continuous agent model; discrete-time Hegselmann-Krause bounded confidence dynamics; regular opinion function; Aerospace electronics; Distance measurement; Educational institutions; Electronic mail; Facsimile; Mathematical model; Terminology; Continuous agent model; Hegselmann-Krause model; continuous agent model; regular function;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2015.2396643
