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September 2006 Kinetic models of opinion formation
Giuseppe Toscani
Commun. Math. Sci. 4(3): 481-496 (September 2006).


We introduce and discuss certain kinetic models of (continuous) opinion formation involving both exchange of opinion between individual agents and diffusion of information. We show conditions which ensure that the kinetic model reaches non trivial stationary states in case of lack of diffusion in correspondence of some opinion point. Analytical results are then obtained by considering a suitable asymptotic limit of the model yielding a Fokker-Planck equation for the distribution of opinion among individuals.


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Giuseppe Toscani. "Kinetic models of opinion formation." Commun. Math. Sci. 4 (3) 481 - 496, September 2006.


Published: September 2006
First available in Project Euclid: 5 April 2007

zbMATH: 1195.91128
MathSciNet: MR2247927

Primary: 91C20
Secondary: 60K35

Keywords: Boltzmann equation , opinion formation , Sociophysics

Rights: Copyright © 2006 International Press of Boston

Vol.4 • No. 3 • September 2006
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