This paper presents a review and critical analysis on the modeling of the dynamics of
vehicular traffic, human crowds and swarms seen as living and, hence, complex systems. It …

This paper presents a survey and critical analysis of the mathematical literature on modeling
and simulation of human crowds taking into account behavioral dynamics. The main focus is …

Mean field games (MFG) and mean field control (MFC) are critical classes of multiagent
models for the efficient analysis of massive populations of interacting agents. Their areas of …

In this paper, we deepen the analysis of continuous time Fictitious Play learning algorithm to
the consideration of various finite state Mean Field Game settings (finite horizon, $\gamma …

The first part of our paper presents a general survey on the modeling, analytic problems, and
applications of the dynamics of human crowds, where the specific features of living systems …

This book presents mathematical models and numerical simulations of crowd dynamics. The
core topic is the development of a new multiscale paradigm, which bridges the microscopic …

Non-cooperative and cooperative games with a very large number of players have many
applications but remain generally intractable when the number of players increases …

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 …

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 paper proposes an essay concerning the understanding of human behaviours and
crisis management of crowds in extreme situations, such as evacuation through complex …