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

• 成果类型: Article
• 署名作者: Galichon, Alfred; Salanie, Bernard
• 署名单位: New York University; New York University; Institut d'Etudes Politiques Paris (Sciences Po); Columbia University
• 刊物名称: REVIEW OF ECONOMIC STUDIES
• ISSN/ISSBN: 0034-6527
• DOI: 10.1093/restud/rdab090
• 发表日期: 2022
• 页码: 2600-2629
• 关键词: demand; CHOICE

摘要

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.