Overview
Syllabus
Mean-Field Games Lecture 1: Static Mean-Field Games
Motivation and Context of Mean-Field Games
Static Games
Static Games: A Motivating Example
Static Games: Abstract Framework
Nash Equilibria
Symmetric Games
Static Game: Large Symmetric Games
Convergence Questions
p-Wasserstein distance
Static Game: An Asymptotic Approximation
Proof of Convergence Theorem
Static Games: Mean-field Equilibrium
Uniqueness of Mean-Field Equilibria
Potential Games
A Converse to the Limit Theorem
Existence of Mean-Field Equilibria
Proof: A Converse to the Limit Theorem
Next Define the Random Variable
Taught by
International Centre for Theoretical Sciences