Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Humanities & Social Sciences. 2019 12 (4)
- Authors
- Shaidurov, Vladimir V.; Kornienko, Viktoria S.
- Contact information
- Shaidurov, Vladimir V.: Institute of Computational Modeling SB RAS 50/44 Akademgorodok, Krasnoyarsk, 660036, Russia; Tianjin University of Finance and Economics 25 Zhujiang Road, Hexi District, Tianjin, 300222, China; ,ORCID: 0000-0002-7883-5804; Kornienko, Viktoria S.: Institute of Computational Modeling SB RAS 50/44 Akademgorodok, Krasnoyarsk, 660036, Russia: Siberian Federal University 79 Svobodny, Krasnoyarsk, 660041, Russia, ORCID: 0000-0003-1126-2148
- Keywords
- mathematical economical models; Mean Field Games; Kolmogorov equation; Hamilton-Jacobi-Bellman equation; numerical solution
- Abstract
The article is a review of modern mathematical economic models with the “Mean Field Games” structure. They are currently used for the predictive modelling under given control conditions or for optimizing control actions to achieve the desired result. The mathematical model is a pair of parabolic partial differential equations with a set of initial and boundary conditions for optimizing a given target functional. For them, the discretization is applied to obtain systems of nonlinear algebraic equations which are solved by computer in an iterative way to get the best instant benefit for each agent. This mathematical apparatus is used for the quantitative modelling of the distribution or the use of alternative resources, environmental problems, optimization of wages and insurance, network sales, and other economic activities to predict the aggregate behavior of the great mass of agents looking for instant personal benefit
- Pages
- 701–715
- DOI
- 10.17516/1997–1370–0418
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/110105
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).