A fractional-order memory extension of the Hegselmann-Krause model is shown, with incomplete proofs, to converge asymptotically and reach consensus when initial opinions are close.
Opinion dynami cs and bounded confidence: mod- els, analysis and simulation
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Memory-Driven Bounded Confidence Opinion Dynamics: A Hegselmann-Krause Model Based on Fractional-Order Methods
A fractional-order memory extension of the Hegselmann-Krause model is shown, with incomplete proofs, to converge asymptotically and reach consensus when initial opinions are close.