The mean-field framework was developed to study systems with an infinite number of
rational agents in competition, which arise naturally in many applications. The systematic …

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 show the convergence of finite state symmetric N-player differential games, where
players control their transition rates from state to state, to a limiting dynamics given by a finite …

In this paper we consider time-dependent mean-field games with subquadratic Hamiltonians
and power-like local dependence on the measure. We establish existence of classical …

We investigate time-dependent mean-field games with superquadratic Hamiltonians and a
power dependence on the measure. Such problems pose substantial mathematical …

In this paper, we present different applications of finite state mean field games to socio-
economic sciences. Examples include paradigm shifts in the scientific community or …

We consider a large population dynamic game in discrete time. The peculiarity of the game
is that players are characterized by time-evolving types, and so reasonably their actions …

We consider time-dependent mean-field games with congestion that are given by a
Hamilton–Jacobi equation coupled with a Fokker–Planck equation. These models are …

A general class of mean field games are considered where the governing dynamics are
controlled diffusions in R d. The optimization criterion is the long time average of a running …

Weconsider the behavior of mean field games systems in the long horizon, under the
assumption of monotonicity of the coupling term. Assuming that the Hamiltonian is globally …