The lion's share of this chapter is devoted to the construction of equilibria for mean field
games with a common noise. We develop a general two-step strategy for the search of weak …

Non-cooperative and cooperative games with a very large number of players have many
applications but remain generally intractable when the number of players increases …

This book brings together several recent developments on the regularity theory for mean-
field game systems. We detail several classes of methods and present a concise overview of …

We address scaling up equilibrium computation in Mean Field Games (MFGs) using Online
Mirror Descent (OMD). We show that continuous-time OMD provably converges to a Nash …

These notes are an introduction to Mean Field Game (MFG) theory, which models differential
games involving infinitely many interacting players. We focus here on the Partial Differential …

We address the numerical approximation of mean field games with local couplings. For
power-like Hamiltonians, we consider a stationary system and also a system involving …

In this work, we consider a novel inverse problem in mean-field games (MFGs). We aim to
recover the MFG model parameters that govern the underlying interactions among the …

Even when confronted with the same data, agents often disagree on a model of the real
world. Here, we address the question of how interacting heterogeneous agents, who …

With the invention of the COVID-19 vaccine, shipping and distributing are crucial in
controlling the pandemic. In this paper, we build a mean-field variational problem in a spatial …

This paper presents a class of evolutive Mean Field Games with multiple solutions for all
time horizons T and convex but non-smooth Hamiltonian H, as well as for smooth H and T …