16 citations · 16 across the 4 of their papers we have counts for
5 papers
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 description of $C^{1,1}(\overli…
Comment on "Ironing, sweeping, and multidimensional screening''
Robert J. McCann, Kelvin Shuangjian Zhang
In their study of price discrimination for a monopolist selling heterogeneous products to consumers having private information about their own multidimensional types, Rochet and Ch…
A geometric approach to apriori estimates for optimal transport maps
Simon Brendle, Flavien Léger, Robert J. McCann +1
A key inequality which underpins the regularity theory of optimal transport for costs satisfying the Ma--Trudinger--Wang condition is the Pogorelov second derivative bound. This tr…
Geometrical bounds for the variance and recentered moments
Tongseok Lim, Robert J. McCann
We bound the variance and other moments of a random vector based on the range of its realizations, thus generalizing inequalities of Popoviciu (1935) and Bhatia and Davis (2000) co…
On concavity of the monopolist's problem facing consumers with nonlinear price preferences
Robert J. McCann, Kelvin Shuangjian Zhang
A monopolist wishes to maximize her profits by finding an optimal price policy. After she announces a menu of products and prices, each agent will choose to buy that product $y…