Introduction to Mean Field Games and Applications
This program provides mathematical background for the long program in Fall 2021 on Distributed Solutions to Complex Societal Problems. Examples of the problems to be addressed in the long program include modeling phenomena such as the macroeconomy, conflict, financial regulation, crowd movement, big data, and advertising, as well as engineering problems involving decentralized intelligence, machine learning, and telecommunications.
An important mathematical development contributing to the understanding of such problems is the theory of Mean Field Games. This is a mathematical framework well-suited to
the study of models in which a large number of agents interact strategically in a stochastically evolving environment, all responding to a range of incentives,
and all trying to simultaneously forecast the decisions of other agents.