Article Contents
Article Contents

# Asymptotic analysis of continuous opinion dynamics models under bounded confidence

• This paper deals with the asymptotic behavior of mathematical models for opinion dynamics under bounded confidence of Deffuant-Weisbuch type. Focusing on the Cauchy Problem related to compromise models with homogeneous bound of confidence, a general well-posedness result is provided and a systematic study of the asymptotic behavior in time of the solution is developed. More in detail, we prove a theorem that establishes the weak convergence of the solution to a sum of Dirac masses and characterizes the concentration points for different values of the model parameters. Analytical results are illustrated by means of numerical simulations.
Mathematics Subject Classification: Primary: 35R09, 35B40; Secondary: 91D10.

 Citation:

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