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Complementary material for Mean Field Control Hierarchy

This page serves as a companion to Mean Field Control Hierarchy Pfeil by G. Albi, Y-P. 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 continuity-type, governing the dynamics of the probability distribution of the agent population. We introduce a novel approximating hierarchy of sub-optimal 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

 
1.

(Under construction).
2.

(Under construction).

Codes

Related Literature

Contacts

  Person E-Mail
  Giacomo Albi Pfeil   giacomo.albiematma.tum.de
  Massimo Fornasier  massimo.fornasierematma.tum.de  
  Young-Pil Choi Pfeil   Young-Pil.Choiematma.tum.de
  Dante Kalise Pfeil   dante.kaliseematricam.oeaw.ac.at

nach oben

-- GiacomoAlbi - 01 Feb 2017