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On the continuity of the feasible set mapping in optimal transport
Journal article   Peer reviewed

On the continuity of the feasible set mapping in optimal transport

Mario Ghossoub and David Saunders
Economic theory bulletin, Vol.9(1), pp.113-117
04/01/2021
DOI: 10.1007/s40505-021-00199-8

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Abstract

Consider the set of probability measures with given marginal distributions on the product of two complete, separable metric spaces, seen as a correspondence when the marginal distributions vary. Bergin (Econ Theory 13: 471–481, 1999) established the continuity of this correspondence, and in this note, we present a novel and considerably shorter proof of this important result.
Economics Game Theory Public Finance Economic Theory/Quantitative Economics/Mathematical Methods Economics and Finance Macroeconomics/Monetary Economics//Financial Economics Research Article Social and Behav. Sciences

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