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math.AP2024
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…
math.AP2024
JKO schemes with general transport costs
Cale Rankin, Ting-Kam Leonard Wong
We modify the JKO scheme, which is a time discretization of Wasserstein gradient flows, by replacing the Wasserstein distance with more general transport costs on manifolds. We sho…