16 citations · 30 across the 11 of their papers we have counts for
3 papers · 1 filter
An inverse problem in optimal transport on closed Riemannian manifolds
Jian Zhai, Kelvin Shuangjian Zhang
We consider the problem of recovering the Riemannian metric on a compact closed manifold from the optimal transport maps when the underlying cost function is the squared Riemann di…
The monopolist's free boundary problem in the plane
Robert J. McCann, Cale Rankin, Kelvin Shuangjian Zhang
We study the Monopolist's problem with a focus on the free boundary separating bunched from unbunched consumers, especially in the plane, and give a full description of its solutio…
regularity for principal-agent problems
Robert J. McCann, Cale Rankin, Kelvin Shuangjian Zhang
We prove the interior regularity of the indirect utilities which solve a subclass of principal-agent problems originally considered by Figalli, Kim, and McCann. Our appro…