Unobserved Heterogeneity in Matching Games
研究了在双边匹配市场中，仅使用谁与谁匹配的数据，能否识别出未观测特征的分布。发现无法完全恢复匹配特定未观测量的分布，但可以识别未观测互补性的分布，而加入未匹配者数据可恢复识别。
Agents in two-sided matching games vary in characteristics that are unobservable in typical data on matching markets. We investigate the identification of the distribution of unobserved characteristics using data on who matches with whom. In full generality, we consider many-to-many matching and matching with trades. The distribution of match-specific unobservables cannot be fully recovered without information on unmatched agents, but the distribution of a combination of unobservables, which we call unobserved complementarities, can be identified. Using data on unmatched agents restores identification.