A continuum model as a limit of large finite matching markets

Aram Grigoryan ()
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Aram Grigoryan: University of California, San Diego

Theoretical Economics, Forthcoming

Abstract: 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.

Keywords: Continuum matching model; deferred acceptance; convergence (search for similar items in EconPapers)
JEL-codes: C60 C78 D47 (search for similar items in EconPapers)
Date: 2025-12-16
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