Cupid’s Invisible Hand: Social Surplus and Identification in Matching Models

S-Tier
Journal: Review of Economic Studies
Year: 2022
Volume: 89
Issue: 5
Pages: 2600-2629

Authors (2)

Alfred Galichon (not in RePEc) Bernard Salanié (Columbia University)

Score contribution per author:

4.022 = (α=2.01 / 2 authors) × 4.0x S-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

We investigate a model of one-to-one matching with transferable utility and general unobserved heterogeneity. Under a separability assumption that generalizes Choo and Siow (2006, Journal of Political Economy, 114, 175–201), we first show that the equilibrium matching maximizes a social gain function that trades off exploiting complementarities in observable characteristics and matching on unobserved characteristics. We use this result to derive simple closed-form formulae that identify the joint matching surplus and the equilibrium utilities of all participants, given any known distribution of unobserved heterogeneity. We provide efficient algorithms to compute the stable matching and to estimate parametric versions of the model. Finally, we revisit Choo and Siow’s empirical application to illustrate the potential of our more general approach.

Technical Details

RePEc Handle
repec:oup:restud:v:89:y:2022:i:5:p:2600-2629.
Journal Field
General
Author Count
2
Added to Database
2026-01-29