55 citations · 100 across the 27 of their papers we have counts for
3 papers · 2 filters
On Mean Field Monotonicity Conditions from Control Theoretical Perspective
Alain Bensoussan, Ziyu Huang, Shanjian Tang +1
In this article, from the viewpoint of control theory, we discuss the relationships among the commonly used monotonicity conditions that ensure the well-posedness of the solutions…
A Class of Degenerate Mean Field Games, Associated FBSDEs and Master Equations
Alain Bensoussan, Ziyu Huang, Shanjian Tang +1
In this paper, we study a class of degenerate mean field games (MFGs) with state-distribution dependent and unbounded functional diffusion coefficients. With a probabilistic method…
A Control Theoretical Approach to Mean Field Games and Associated Master Equations
Alain Bensoussan, Ho Man Tai, Tak Kwong Wong +1
We prove the global-in-time well-posedness for a broad class of mean field game problems, which is beyond the special linear-quadratic setting, as long as the mean field sensitivit…