Mean Field Games With Parametrized Followers

• Published in: IEEE transactions on automatic control Vol. 65; no. 1; pp. 12 - 27
• Main Authors: Bensoussan, Alain, Cass, Thomas, Chau, Man Ho Michael, Yam, Sheung Chi Phillip
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.01.2020; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Delay; Delay effects; Delay systems; Delays; Differential equations; Games; mean field games (MFGs); nonlinear system; Partial differential equations; Sociology; Statistics; stocashtic optimal control; Stochastic processes; stochastic systems

We consider mean field games between a dominant leader and many followers, such that each follower is subject to a heterogeneous delay effect from the leader's action, who in turn can exercise governance on the population through this influence. The delay effects are assumed to be discretely di...