On the continuity of the feasible set mapping in optimal transport
Tóm tắt
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.
Tài liệu tham khảo
Bergin, J.: On the continuity of correspondences on sets of measures with restricted marginals. Econ. Theory 13, 471–481 (1999)
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Savchenko, A., Zarichnyi, M.: Correspondences of probability measures with restricted marginals. Proc. Intern. Geom. Center 7(4), 34–39 (2014)
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