The Hegselmann-Krause dynamics for continuous agents and a regular opinion function do not always lead to consensus

2014/02/28 by Wedin, Edvin, Hegarty, Peter
#26A99 #91F99 #93C55 #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Electrical engineering #FOS: Mathematics #Social and Information Networks (cs.SI) #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · doi:10.48550/arxiv.1402.7184

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.

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