Fair Matching under Constraints: Theory and Applications

IF 5.9 1区经济学 Q1 ECONOMICS

Review of Economic Studies Pub Date : 2023-04-21 DOI:10.1093/restud/rdad046

Yuichiro Kamada, F. Kojima

引用次数: 29

Abstract

This paper studies a general model of matching with constraints. Observing that a stable matching typically does not exist, we focus on feasible, individually rational, and fair matchings. We characterize such matchings by fixed points of a certain function. Building on this result, we characterize the class of constraints on individual schools under which there exists a student-optimal fair matching (SOFM), the matching that is the most preferred by every student among those satisfying the three desirable properties. We study the numerical relevance of our theory using data on government-organized daycare allocation.

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约束下的公平匹配:理论与应用

本文研究了一种通用的约束匹配模型。观察到通常不存在稳定的匹配，我们将重点放在可行的、个体理性的和公平的匹配上。我们用某个函数的不动点来描述这种匹配。在此结果的基础上，我们描述了个别学校的约束类别，在这些约束类别下存在学生最优公平匹配(SOFM)，即在满足三个理想属性的匹配中，每个学生最喜欢的匹配。我们使用政府组织的日托分配数据来研究我们理论的数值相关性。

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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来源期刊

Review of Economic Studies ECONOMICS-

CiteScore

10.40

自引率

3.40%

发文量

期刊介绍： Founded in 1933 by a group of young British and American economists, The Review of Economic Studies aims to encourage research in theoretical and applied economics, especially by young economists. Today it is widely recognised as one of the core top-five economics journals. The Review is essential reading for economists and has a reputation for publishing path-breaking papers in theoretical and applied economics. The Review is committed to continuing to publish strong papers in all areas of economics. The Editors aim to provide an efficient and high-quality review process to the Review''s authors. Where articles are sent out for full review, authors receive careful reports and feedback. Since 1989 The Review has held annual May Meetings to offer young students in economics and finance the chance to present their research to audiences in Europe.