1 citations · 1 across the 4 of their papers we have counts for
4 papers
Optimal Matching Strategies in Two-sided Markets: A Mean Field Approach
Erhan Bayraktar, Dantong Chu, Bohan Li +1
This paper develops a mean field game framework for dynamic two-sided matching markets, extending existing matching theory by integrating micro-macro dynamics in two-sided environm…
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…
Viscosity Solutions of a class of Second Order Hamilton-Jacobi-Bellman Equations in the Wasserstein Space
Hang Cheung, Ho Man Tai, Jinniao Qiu
This paper is devoted to solving a class of second order Hamilton-Jacobi-Bellman (HJB) equations in the Wasserstein space, associated with mean field control problems involving com…
Pattern Formation in Landau-de Gennes Theory
Ho-Man Tai, Yong Yu
We study the spherical droplet problem in 3D-Landau de Gennes theory with finite temperature. By rigorously constructing the biaxial-ring solutions and split-core-segment solutions…