A continuum model as a limit of large finite matching markets

• 成果类型: Article
• 署名作者: Grigoryan, Aram
• 署名单位: University of California System; University of California San Diego
• 刊物名称: THEORETICAL ECONOMICS
• ISSN/ISSBN: 1933-6837
• DOI: 10.3982/TE5478
• 发表日期: 2026
• 关键词: uniform-convergence; school choice; residents; DESIGN

摘要

The continuum matching model has been instrumental in the studies of finite economies. Yet, there is limited theoretical justification on whether and when a continuum model approximates large finite problems. In this paper, I study the following question: if we randomly sample finite economies from some distribution, will the stable assignments of these finite economies converge to a stable assignment of the continuum economy as we increase the sample size? I provide a simple condition, which I call rich preferences, that guarantees the convergence. I also provide approximate convergence results under weaker conditions.