44 citations · 290 across the 45 of their papers we have counts for
31 papers · 1 filter
Sharp convergence rates for mean field control in the region of strong regularity
Pierre Cardaliaguet, Joe Jackson, Nikiforos Mimikos-Stamatopoulos +1
We study the convergence problem for mean field control, also known as optimal control of McKean-Vlasov dynamics. We assume that the data is smooth but not convex, and thus the lim…
Mean Field Games in a Stackelberg problem with an informed major player
Philippe Bergault, Pierre Cardaliaguet, Catherine Rainer
We investigate a stochastic differential game in which a major player has a private information (the knowledge of a random variable), which she discloses through her control to a p…
Regularity of the value function and quantitative propagation of chaos for mean field control problems
Pierre Cardaliaguet, Panagiotis Souganidis
We investigate a mean field optimal control problem obtained in the limit of the optimal control of large particle systems with forcing and terminal data which are not assumed to b…
An algebraic convergence rate for the optimal control of McKean-Vlasov dynamics
Pierre Cardaliaguet, Samuel Daudin, Joe Jackson +1
We establish an algebraic rate of convergence in the large number of players limit of the value functions of N-particle stochastic control problems towards the value function of th…
Ergodic behavior of control and mean field games problems depending on acceleration
Pierre Cardaliaguet, Cristian Mendico
The goal of this paper is to study the long time behavior of solutions of the first-order mean field game (MFG) systems with a control on the acceleration. The main issue for this…
Convergence of some Mean Field Games systems to aggregation and flocking models
Martino Bardi, Pierre Cardaliaguet
For two classes of Mean Field Game systems we study the convergence of solutions as the interest rate in the cost functional becomes very large, modeling agents caring only about a…