Consensus for Hegselmann–Krause type models with time variable time delays
Elisa Continelli, Cristina Pignotti
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.
Topics & Concepts
MathematicsType (biology)Applied mathematicsVariable (mathematics)Mathematical economicsMathematical analysisEcologyBiologyOpinion Dynamics and Social InfluenceDistributed Control Multi-Agent SystemsMathematical and Theoretical Epidemiology and Ecology Models