This paper reviews some main results and progress in distributed multi-agent coordination,
focusing on papers published in major control systems and robotics journals since 2006 …

Abstract Throughout its history, Operational Research has evolved to include methods,
models and algorithms that have been applied to a wide range of contexts. This …

Multi-agent systems can solve scientific issues related to complex systems that are difficult or
impossible for a single agent to solve through mutual collaboration and cooperation …

This book describes the latest advances in the theory of mean field games, which are
optimal control problems with a continuum of players, each of them interacting with the …

In recent years, tremendous progress has been made on numerical algorithms for solving
partial differential equations (PDEs) in a very high dimension, using ideas from either …

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 …

The lion's share of this chapter is devoted to the construction of equilibria for mean field
games with a common noise. We develop a general two-step strategy for the search of weak …

This book gives an exposition of the principal concepts and results related to second order
elliptic and parabolic equations for measures, the main examples of which are Fokker …

Mean field theory has raised a lot of interest in recent years, since the independent
introduction by Lasry–Lions and Huang–Caines–Malhamé, see, in particular, Lasry–Lions …

We consider a class of Nash games, termed as aggregative games, being played over a
networked system. In an aggregative game, a player's objective is a function of the …