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- W4315706544 abstract "We study a continuous-time version of the Hegelsmann--Krause model describing the opinion dynamics of interacting agents subject to random perturbations. Mathematical speaking, the opinion of agents is modelled by an interacting particle system with a non-Lipschitz continuous interaction force, perturbed by idiosyncratic and environmental noises. Sending the number of agent to infinity, we derive a McKean--Vlasov stochastic differential equations as the limiting dynamics, by establishing propagation of chaos for regularized versions of the noisy opinion dynamics. To that end, we prove the existence of a unique strong solution to the McKean--Vlasov stochastic differential equation as well as well-posedness of the associated non-local, non-linear stochastic Fokker--Planck equation." @default.
- W4315706544 created "2023-01-12" @default.
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- W4315706544 date "2023-01-10" @default.
- W4315706544 modified "2023-09-27" @default.
- W4315706544 title "Hegselmann--Krause model with environmental noise" @default.
- W4315706544 doi "https://doi.org/10.48550/arxiv.2301.03955" @default.
- W4315706544 hasPublicationYear "2023" @default.
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