We study certain nonlinear continuous models of opinion formation derived from a kinetic description involving exchanges of opinion between individual agents. These models imply that the only possible final opinions are the extremal ones, and they are similar to models of pure drift in magnetization. Both analytical and numerical methods allow us to recover the final distribution of opinion between the two extremal ones.

First-Order continuous models of opinion formation / G. Aletti, G. Naldi, G. Toscani. - In: SIAM JOURNAL ON APPLIED MATHEMATICS. - ISSN 0036-1399. - 67:3(2007), pp. 837-853. [10.1137/060658679]

First-Order continuous models of opinion formation

G. Aletti
Primo
;
G. Naldi
Secondo
;
2007

Abstract

We study certain nonlinear continuous models of opinion formation derived from a kinetic description involving exchanges of opinion between individual agents. These models imply that the only possible final opinions are the extremal ones, and they are similar to models of pure drift in magnetization. Both analytical and numerical methods allow us to recover the final distribution of opinion between the two extremal ones.
Magnetization; Nonlinear nonlocal hyperbolic equation; Opinion formation; Sociophysics
Settore MAT/08 - Analisi Numerica
Settore MAT/06 - Probabilita' e Statistica Matematica
2007
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/27890
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