In this manuscript we propose a structural condition on nonseparable Hamiltonians, which
we term displacement monotonicity condition, to study second-order mean field games …

We force uniqueness in finite state mean field games by adding a Wright–Fisher common
noise. We achieve this by analyzing the master equation of this game, which is a degenerate …

It is well known that the monotonicity condition, either in Lasry–Lions sense or in
displacement sense, is crucial for the global well-posedness of mean field game master …

We provide an abstract framework for submodular mean field games and identify verifiable
sufficient conditions that allow us to prove the existence and approximation of strong mean …

In this paper, we study graphon mean field games using a system of forward–backward
stochastic differential equations. We establish the existence and uniqueness of solutions …

The goal of this paper is to provide a selection principle for potential mean field games on a
finite state space and, in this respect, to show that equilibria that do not minimize the …

We examine mean field control problems on a finite state space, in continuous time and over
a finite time horizon. We characterize the value function of the mean field control problem as …

This paper analyzes the convergence of the finite population optimal stopping problem
towards the corresponding mean field limit. Building on the viscosity solution …

In this paper we study mean field games with possibly multiple mean field equilibria. Instead
of focusing on the individual equilibria, we propose to study the set of values over all …

Mean field games model equilibria in games with a continuum of players as limiting systems
of symmetric n-player games with weak interaction between the players. We consider a finite …