Special Session 16: Recent Development of Stochastic Optimal Control and Differential Games

Mean field LQG games and teams
Bingchang Wang
Shandong University
Peoples Rep of China
Co-Author(s):    Huanshui Zhang and Ji-Feng Zhang
Abstract:
This work studies linear-quadratic-Gaussian (LQG) mean field games and teams, where agents are coupled via dynamics and individual costs. We propose an approach of decoupling mean field FBSDEs (forward- backward stochastic differential equations), and obtained the necessary and sufficient conditions for uniform stabilization of mean field control systems. In this work, a new approach is developed for mean field games and control, and the essential difference and connection is also revealed between the direct method and the fixed point method. We further apply the approach to investiage feedback solutions to mean field LQG Stackelberg games.