Title: Master Equation for Discrete-Time Stackelberg Mean Field Games
Speaker: Dr. Deepanshu Vasal, Research Scientist, Department of Electrical and Computer Engineering (ECE) at Northwestern University, USA.
Day, Date and Time: Monday, August 1, 2022, 10 AM to 11 AM.
Abstract: Mean field games are a very popular model of dynamic interaction of large scale selfish agents. In this talk, I will consider a general model of discrete-time Stackelberg mean field games with a leader and an infinite number of followers. The leader and the followers each observe types privately that evolve as conditionally independent controlled Markov processes. The leader commits to a dynamic policy and the followers best respond to that policy and each other. Knowing that the followers would play a mean field game based on her policy, the leader chooses a policy that maximizes her reward. We refer to the resulting outcome as a Stackelberg mean field equilibrium (SMFE).
In this talk, I will provide a master equation of this game that allows one to compute all SMFE backward recursively. Based on this framework, I will consider two numerical examples, one on vaccinations in an epidemic and other on technology adoption.
This is joint work with Randall Berry
Speaker Bio: Deepanshu is a research scientist in the Department of Electrical and Computer Engineering (ECE) at Northwestern University. He received his PhD from University of Michigan, Ann Arbor in EE:Systems in 2016, and was a postdoc at UT Austin. His current research interests are game theory, multi-agent decision making, and feedback communication. Before that, he received his B.Tech degree in electronics and communication engineering from IIT Guwahati in 2009.