Kinetic models of opinion formation

By Giuseppe Toscani. 2006

425 citations recorded by the source corpus.

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.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/73fc1991b65205170100a2a63e22408e93bda4f9

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. José Antonio Carrillo
2. Massimo Fornasier
3. Giuseppe Toscani
4. A. Pulvirenti
5. G. Furioli
6. Bertram Düring
7. Jan‐Frederik Pietschmann
8. E. Terraneo

In Statistical and Nonlinear Physics

1. José Antonio Carrillo
2. Massimo Fornasier
3. A. Pulvirenti
4. G. Furioli
5. E. Terraneo
6. Peter A. Markowich
7. Francesco Vecil
8. Jesús Rosado

Citations in the corpus

• Particle, kinetic, and hydrodynamic models of swarming (2010, methodology): “Similar asymptotic procedures have been subsequently used to recover Fokker–Planck type equations for wealth distribution [11], or opinion formation [67].”
• Flocking estimates for the Cucker–Smale model with time lag and hierarchical leadership (2017, background): “[15, 17, 27, 37, 40, 46, 50, 52]), stochastic terms ([18, 23, 25]), pedestrian crowds (see [16, 31]), infinite-dimensional kinetic models (see [1, 4, 9, 12, 22, 28, 49]), topological models ([5, 29]), control models (see [6, 10, 11, 43, 51]).”
• Fokker–Planck equations in the modeling of socio-economic phenomena (2017, methodology): “([96]), and we refer to this paper for further details and references (cf.”
• Boltzmann and Fokker–Planck equations modelling opinion formation in the presence of strong leaders (2009, methodology): “Our approach is based on an opinion formation model introduced in Toscani (Toscani 2006 Commun.”
• Asymptotic Flocking Dynamics for the Kinetic Cucker-Smale Model (2010, methodology): “Similar asymptotic procedures have been subsequently used to recover Fokker-Planck type equations for wealth distribution [6], or opinion formation [36].”
• Statistical physics of social dynamics (2007, neutral): “Kinetic models of opinion dynamics were proposed in (Toscani, 2006).”