On the continuity of the feasible set mapping in optimal transport

Mario Ghossoub () and David Saunders ()
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Mario Ghossoub: University of Waterloo
David Saunders: University of Waterloo

Economic Theory Bulletin, 2021, vol. 9, issue 1, No 10, 113-117

Abstract: 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.

Keywords: Optimal transport; Measures on product spaces with fixed marginals; Continuity of correspondences on spaces of measures (search for similar items in EconPapers)
JEL-codes: C60 C61 (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s40505-021-00199-8

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