On the planning problem for a class of mean field games

DOI10.1016/j.crma.2013.07.004zbMath1273.91101OpenAlexW2010241590MaRDI QIDQ367190

Alessio Porretta

Publication date: 26 September 2013

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S1631073X13001623

Mathematics Subject Classification ID

Differential games (aspects of game theory) (91A23) Applications of game theory (91A80) Transportation, logistics and supply chain management (90B06) Optimal stochastic control (93E20) Quasilinear parabolic equations (35K59)

Related Items (19)

Bellman systems with mean field dependent dynamics ⋮ Existence theory for non-separable mean field games in Sobolev spaces ⋮ On the weak theory for mean field games systems ⋮ The planning problem in mean field games as regularized mass transport ⋮ High order computation of optimal transport, mean field planning, and potential mean field games ⋮ A fast proximal gradient method and convergence analysis for dynamic mean field planning ⋮ An introduction to mean field game theory ⋮ The Euler-Lagrange approximation of the mean field game for the planning problem ⋮ Minimal time for the continuity equation controlled by a localized perturbation of the velocity vector field ⋮ Strong solutions for time-dependent mean field games with non-separable Hamiltonians ⋮ Weak solutions to Fokker-Planck equations and mean field games ⋮ Convergence of a Finite Difference Scheme to Weak Solutions of the System of Partial Differential Equations Arising in Mean Field Games ⋮ Mean field games models -- a brief survey ⋮ Existence theory for a time-dependent mean field games model of household wealth ⋮ Stochastic optimal transport with free end time ⋮ Numerical solution of mean field problem with limited management resource ⋮ Career plans and wage structures: a mean field game approach ⋮ A variational approach to the mean field planning problem ⋮ On the system of partial differential equations arising in mean field type control

Cites Work

• Mean field games. I: The stationary case
• Mean field games. II: Finite horizon and optimal control
• Mean field games
• Long time average of mean field games
• A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
• Weak solutions to Fokker-Planck equations and mean field games
• Mean Field Games: Numerical Methods for the Planning Problem

This page was built for publication: On the planning problem for a class of mean field games