7 citations · 8 across the 4 of their papers we have counts for
7 papers
Retirement Planning with Minimum Guarantees for Both Beneficiaries and Fund Managers
Zhaojie Ren, Sheng Wang, Tak Kwong Wong +1
This article studies a retirement planning problem from a new perspective in which a retiree delegates an initial lump sum to a professional fund manager. The fund is managed dynam…
Optimal Savings and Value of Population in A Stochastic Environment: Transient Behavior
Hao Liu, Suresh P. Sethi, Tak Kwong Wong +1
We extend the work on optimal investment and consumption of a population considered in [2] to a general stochastic setting over a finite time horizon. We incorporate the Cobb-Dougl…
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…
Global Well-Posedness of First-Order Mean Field Games and Master Equations with Nonlinear Dynamics
Alain Bensoussan, Tak Kwong Wong, Sheung Chi Phillip Yam +1
This article presents the variant of the approach introduced in the recent work of Bensoussan, Wong, Yam and Yuan [13] to the generic first-order mean field game problem. A major c…
A Theory of First Order Mean Field Type Control Problems and their Equations
Alain Bensoussan, Tak Kwong Wong, Sheung Chi Phillip Yam +1
In this article, by using several new crucial {\it a priori} estimates which are still absent in the literature, we provide a comprehensive resolution of the first order generic me…
Asymptotic harvesting of populations in random environments
Alexandru Hening, Dang H. Nguyen, Sergiu C. Ungureanu +1
We consider the harvesting of a population in a stochastic environment whose dynamics in the absence of harvesting is described by a one dimensional diffusion. Using ergodic optima…
Local-in-Time Existence and Uniqueness of Solutions to the Prandtl Equations by Energy Methods
Nader Masmoudi, Tak Kwong Wong
We prove local existence and uniqueness for the two-dimensional Prandtl system in weighted Sobolev spaces under the Oleinik's monotonicity assumption. In particular we do not use t…