We consider deterministic mean field games (MFGs) in all Euclidean space with a cost
functional continuous with respect to the distribution of the agents and attaining its minima in …

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 …

This article aims at quantifying the long time behavior of solutions of mean field PDE
systems arising in the theory of Mean Field Games and McKean-Vlasov control. Our main …

The long-time average behavior of the value function in the calculus of variations is known to
be connected to the existence of the limit of the corresponding Abel means. Still in the …

First order kinetic mean field games formally describe the Nash equilibria of deterministic
differential games where agents control their acceleration, asymptotically in the limit as the …

In this paper, the existence of non-trivial time periodic solutions of first order mean field
games is proved. It is assumed that there is a non-trivial periodic orbit contained in the …

The singular perturbation of mean field game systems arising from minimization problems
with control of acceleration is addressed, that is, we analyze the behavior of solutions as the …

We study Nash equilibria for the deterministic ergodic N-players game. We introduce pure
strategies, mixed strategies and Nash equilibria associated with those. We show that a Nash …

We prove well-posedness of a class of kinetic-type Mean Field Games, which typically arise
when agents control their acceleration. Such systems include independent variables …

In this paper, we consider a first-order mean field game model motivated by crowd motion in
which agents evolve in a (not necessarily compact) metric space and wish to reach a given …