… article is to study singular control problems for mean-field SDEs, and to … singular mean-field
non-zero stochastic differential games. Let us point out that the terminology “mean field game…

… Here, we examine singular second-order reduced mean-field games (MFGs) both in the
stationary and time-dependent settings. Our goal is to determine conditions that ensure the …

… games with singular controls, either of bounded velocity or of finite variation, can both be
approximated by mean field games (MFGs) with singular … to an MFG with singular controls of a …

… In this paper, we provide a rare example of a solvable mean field game with singular
controls, with general nonlinear Itô dynamics of the state process and not necessarily quadratic …

… mean-field games has grown exponentially, and in this paper we present a brief survey of
mean-field … , we study reduced mean-field games, that is, mean-field games, which are written …

… of relaxed solutions to mean field games (MFGs for short) with singular controls. We also
prove approximations of solutions results for a particular class of MFGs with singular controls by …

… MFGs and N-player games with singular controls. Their analysis … singular control problems
with mean-field dynamics for the state variables. A class of controls closely related to singular …

… In this paper, we continue our investigation of the mean field particle systems with singular
… analysis of the associated mean field games. The literature on mean field games is vast (see…

… mean-field games with multidimensional singular controls and state-dependent jump dynamics
and costs. Two key challenges arise when analysing such games: … of admissible singular …

… Here, we prove the existence of smooth solutions for mean-field games with a singular
mean-field coupling; that is, a coupling in the Hamilton-Jacobi equation of the form g(m) = −m−α. …