We present and discuss various one-dimensional linear Fokker-Planck-Type equations that have been recently considered in connection with the study of interacting multi-Agent systems. In general, these Fokker-Planck equations describe the evolution in time of some probability density of the population of agents, typically the distribution of the personal wealth or of the personal opinion, and are mostly obtained by linear or bilinear kinetic models of Boltzmann type via some limit procedure. The main feature of these equations is the presence of variable diffusion, drift coefficients and boundaries, which introduce new challenging mathematical problems in the study of their long-Time behavior.
(2017). Fokker-Planck equations in the modeling of socio-economic phenomena [journal article - articolo]. In MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES. Retrieved from http://hdl.handle.net/10446/85817
Fokker-Planck equations in the modeling of socio-economic phenomena
FURIOLI, Giulia Maria Dalia;
2017-01-01
Abstract
We present and discuss various one-dimensional linear Fokker-Planck-Type equations that have been recently considered in connection with the study of interacting multi-Agent systems. In general, these Fokker-Planck equations describe the evolution in time of some probability density of the population of agents, typically the distribution of the personal wealth or of the personal opinion, and are mostly obtained by linear or bilinear kinetic models of Boltzmann type via some limit procedure. The main feature of these equations is the presence of variable diffusion, drift coefficients and boundaries, which introduce new challenging mathematical problems in the study of their long-Time behavior.File | Dimensione del file | Formato | |
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Descrizione: Electronic version of an article published as Mathematical Models and Methods in Applied Sciences, Vol. 27, No. 01, pp. 115-158 (2017) - Article DOI: 10.1142/S0218202517400048 ©World Scientific Publishing Company - Journal URL: https://www.worldscientific.com/worldscinet/m3as
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