最优运输可行集映射的连续性

IF 0.4 Q4 ECONOMICS Economic Theory Bulletin Pub Date : 2020-09-27 DOI:10.2139/ssrn.3685200

Mario Ghossoub, D. Saunders

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引用次数: 4

摘要

考虑两个完全的、可分离的度量空间的乘积上具有给定边际分布的概率测度集，当边际分布变化时，将其视为对应关系。Bergin（Econ Theory 13:471–4811999）建立了这种对应关系的连续性，在这篇文章中，我们提出了一个新颖且相当简短的证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the continuity of the feasible set mapping in optimal transport

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.

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Economic Theory Bulletin ECONOMICS-

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期刊介绍： The purpose of Economic Theory Bulletin is to provide an outlet for research in all areas of Economics based on rigorous theoretical reasoning. The Economic Theory Bulletin together with Economic Theory are the official journals of the Society for the Advancement of Economic Theory. The Economic Theory Bulletin is intended to publish: 1. Short papers/notes of substantial interest. Content is subject to the same standards as Economic Theory: research in all areas of economics based on rigorous theoretical reasoning and on topics in mathematics that are supported by the analysis of economic problems. Published articles contribute to the understanding and solution of substantive economic problems. Theory papers with the substance and style for other journals that specialize in short papers are welcomed. Corollaries of already known results in the literature are not appropriate for publication. 2. Survey papers that clearly picture the basic ideas at work in the area, the essential technical apparatus that is used and the central questions that remain open.

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