The Hegselmann-Krause dynamics for continuous agents and a regular opinion function do not always lead to consensus
classification
🧮 math.DS
cs.SIcs.SYeess.SY
keywords
alwaysdynamicsfunctionhegselmann-krauseopinionregularaccordanceagents
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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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