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 …

A mean-field-type game is a game in which the instantaneous payoffs and/or the state
dynamics functions involve not only the state and the action profile but also the joint …

This paper puts forward a simple mean-field game that captures some of the key dynamic
features of crowd and pedestrian flows in multilevel building evacuations. It considers both …

This paper considers a mean field game model inspired by crowd motion where agents want
to leave a given bounded domain through a part of its boundary in minimal time. Each agent …

In this paper, we investigate the crowd evacuation from a room on the basis of the mean field
game theory. In particular, effects of the predictability of pedestrians on the evacuation …

In this paper, we consider a mean field game model inspired by crowd motion where agents
aim to reach a closed set, called target set, in minimal time. Congestion phenomena are …

This paper introduces a system of SDEs of mean-field type that models pedestrian motion.
The system lets the pedestrians spend time at and move along walls by means of sticky …

In this paper, we consider a mean field game model inspired by crowd motion in which
several interacting populations evolving in \mathbbmR^d aim at reaching given target sets in …

In this paper we consider mean-field optimal control problems with selective action of the
control, where the constraint is a continuity equation involving a non-local term and diffusion …