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.

中文翻译：

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关于最优运输中可行集映射的连续性

考虑在两个完整的，可分离的度量空间的乘积上具有给定的边际分布的概率测度集，当边际分布变化时，这被视为对应关系。Bergin（Econ Theory 13：471–481，1999）建立了这种对应关系的连续性，在本注释中，我们为这一重要结果提供了新颖且简短得多的证明。