These notes are an introduction to Mean Field Game (MFG) theory, which models differential
games involving infinitely many interacting players. We focus here on the Partial Differential …

We investigate the resolution of second-order, potential, and monotone mean field games
with the generalized conditional gradient algorithm, an extension of the Frank-Wolfe …

Solar renewable energy certificate (SREC) markets are a market‐based system that
incentivizes solar energy generation. A regulatory body overseeing load serving entities …

We provide an abstract framework for submodular mean field games and identify verifiable
sufficient conditions that allow us to prove the existence and approximation of strong mean …

We consider a class of mean field games in which the optimal strategy of a representative
agent depends on the statistical distribution of both the states and controls. We prove some …

Here, we develop a deep learning algorithm for solving Principal-Agent (PA) mean field
games with market-clearing conditions--a class of problems that have thus far not been …

An existence result for a class of mean field games of controls is provided. In the considered
model, the cost functional to be minimized by each agent involves a price depending at a …

In this article we prove the existence of classical solutions to a system of mean field games
arising in the study of exhaustible resource production under market competition. Individual …

We establish the existence and uniqueness of a solution to the master equation for a mean
field game of controls with absorption. The mean field game arises as a continuum limit of a …

We analyze a system of partial differential equations that model a potential mean field game
of controls, briefly MFGC. Such a game describes the interaction of infinitely many negligible …