Consensus of the Hegselmann–Krause opinion formation model with time delay

DOI10.1002/mma.7050zbMath1471.34154arXiv1909.02795OpenAlexW3109034983MaRDI QIDQ5004208

Alessandro Paolucci, Young-Pil Choi, Cristina Pignotti

Publication date: 30 July 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.02795

zbMATH Keywords

time delaysmulti-agent modelsconsensus models

Mathematics Subject Classification ID

Social networks; opinion dynamics (91D30) Asymptotic theory of functional-differential equations (34K25) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (8)

Flocking in the Cucker-Smale model with self-delay and nonsymmetric interaction weights ⋮ Perturbed anisotropic opinion dynamics with delayed information ⋮ Optimal condition for asymptotic consensus in the Hegselmann-Krause model with finite speed of information propagation ⋮ Asymptotic behavior of the linear consensus model with delay and anticipation ⋮ Asymptotic flocking for the Cucker-Smale model with time variable time delays ⋮ Consensus for Hegselmann–Krause type models with time variable time delays ⋮ A Simple Proof of Asymptotic Consensus in the Hegselmann--Krause and Cucker--Smale Models with Normalization and Delay ⋮ Direct proof of unconditional asymptotic consensus in the Hegselmann–Krause model with transmission‐type delay

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