Nizar Bou Ezz, Temple University
Mean field games (MFGs) study Nash equilibria in systems with a very large number of strategically interacting agents, in settings where players are symmetric and interaction is realized through the population distribution. This framework has become a standard tool for modeling large-population strategic behavior in economics and engineering.
This talk will give a game-theoretic introduction to mean field games, starting from familiar finite-player examples and progressing toward dynamic games with large populations. I will explain the mean field equilibrium concept, introduce the coupled backward–forward MFG system in a finite-state continuous-time setting, and conclude with an informal discussion of the master equation, which characterizes equilibrium values as a function of the population distribution.