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 introduce a novel framework to model and solve first-order mean field game systems
with nonlocal interactions, extending the results in [L. Nurbekyan and J. Saúde, Port. Math …

In this paper we propose two new monotonicity conditions that could serve as sufficient
conditions for uniqueness of Nash equilibria in mean field games. In this study we aim for …

In this article we consider finite Mean Field Games (MFGs), ie with finite time and finite
states. We adopt the framework introduced in [1] and study two seemly unexplored subjects …

Abstract Mean Field Games with state constraints are differential games with infinitely many
agents, each agent facing a constraint on his state. The aim of this paper is to provide a …

We consider deterministic mean field games where the dynamics of a typical agent is non-
linear with respect to the state variable and affine with respect to the control variable …

The goal of this paper is to show existence of short-time classical solutions to the so called
Master Equation of first order Mean Field Games, which can be thought of as the limit of the …

In the present work, we study deterministic mean field games (MFGs) with finite time horizon
in which the dynamics of a generic agent is controlled by the acceleration. They are …

We investigate a mean field game model for the production of exhaustible resources. In this
model, firms produce comparable goods, strategically set their production rate in order to …

This paper is devoted to finite horizon deterministic mean field games in which the state
space is a network. The agents control their velocity, and when they occupy a vertex, they …