In this paper, we argue that models coming from a variety of fields share a common structure that we call matching function equilibria. This structure revolves around an aggregate matching function and a system of nonlinear equations. This encompasses search and matching models, matching models...

This note introduces a maximum likelihood estimator of the value of job amenities and labor productivity in a single matching market based on the observation of equilibrium matches and wages. The estimation procedure simultaneously fits both the matching patterns and the wage curve. Our...

In this paper, we address the problem of estimating transport surplus (a.k.a. matching affinity) in high dimensional optimal transport problems. Classical optimal transport theory species the matching affinity and determines the optimal joint distribution. In contrast, we study the inverse...

This paper introduces a maximum likelihood estimator of the value of job amenities and labor productivity in a single matching market based on the observation of equilibrium matches and wages. The estimation procedure simultaneously fits both the matching patterns and the wage curve. While our...

This note investigates the extent to which structural estimates of marital surplus are informative about subjective well-being and separation. We first estimate the marital surplus using a simple matching model of the marriage market with perfectly transferable utility and heterogeneity in...