Fokker–Planck equations in the modeling of socio-economic phenomena-Reference-Cited by-同舟云学术

Fokker–Planck equations in the modeling of socio-economic phenomena

Published:2017-01 Issue:01 Volume:27 Page:115-158
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

Furioli Giulia¹,Pulvirenti Ada²,Terraneo Elide³,Toscani Giuseppe²

Affiliation:

1. DIGIP, University of Bergamo, Viale Marconi 5, 24044 Dalmine, Italy

2. Department of Mathematics, University of Pavia, Via Ferrata 1, Pavia, 27100, Italy

3. Department of Mathematics, University of Milan, Via Saldini 50, 20133 Milano, Italy

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202517400048

Reference100 articles.

1. Stochastic evolutionary differential games toward a systems theory of behavioral social dynamics

2. The Inequality Process as a wealth maximizing process

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4. Explicit equilibria in a kinetic model of gambling

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