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math.OC2023
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…
math.DG2023
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…