
Complementary material for Mean Field Control Hierarchy
This page serves as a companion to Mean Field Control Hierarchy ^{} by G. Albi, YP. Choi, M. Fornasier, D. Kalise.
We furnish the code needed to reproduce the numerical experiments included in the paper.
Description
In this paper we model the role of a government of a large population as a mean field optimal control problem. Such control problems are constrained by a PDE of continuitytype, governing the dynamics of the probability distribution of the agent population. We introduce a novel approximating hierarchy of suboptimal controls based on a Boltzmann approach, whose computation requires a very moderate numerical complexity with respect to the one of the optimal control. We makes available the code to reproduce tests, which compares the hierarchy of controls.
Numerical Tests
Codes
Related Literature
Contacts
nach oben
