In this paper, we analyze a Hegselmann-Krause opinion formation model with time variable time delay and prove that if the influence function is always positive, then there is exponential convergence to consensus without requiring any smallness assumptions on the time delay function. The analysis is then extended to a model with distributed time delay.
Consensus for Hegselmann-Krause type models with time variable time delays
Elisa Continelli;Cristina Pignotti
2023-01-01
Abstract
In this paper, we analyze a Hegselmann-Krause opinion formation model with time variable time delay and prove that if the influence function is always positive, then there is exponential convergence to consensus without requiring any smallness assumptions on the time delay function. The analysis is then extended to a model with distributed time delay.File in questo prodotto:
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