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.
Friedkin, The problem of social control and coordinat ion of complex systems in sociology: a look at the community cleavage, IEEE Control Systems , 35(3), pp
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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.