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Econometrica Vol. 81 No. 1 2013

The Revealed Preference Theory of Stable and Extremal Stable Matchings

Federico Echenique1; SangMok Lee2; Matthew Shum1; M. Bumin Yenmez3,4

1 California Institute of Technology · 2 University of the Sciences · 3 Bühler (United Kingdom) · 4 Carnegie Mellon University

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Abstract

We investigate the testable implications of the theory of stable matchings. We provide a characterization of the matchings that are rationalizable as stable matchings when agents' preferences are unobserved. The characterization is a simple nonparametric test for stability, in the tradition of revealed preference tests. We also characterize the observed stable matchings when monetary transfers are allowed and the stable matchings that are best for one side of the market: extremal stable matchings. We find that the theory of extremal stable matchings is observationally equivalent to requiring that there be a unique stable matching or that the matching be consistent with unrestricted monetary transfers.

DOI
10.3982/ecta10011
Volume
81
Issue
1
Pages
153-171
Language
en
Sources
bibtex:phds-export.bib openalex crossref

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