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 paper proposes and estimates a static transferable utility model of the marriage market. The model generates a nonparametric marriage matching function with spillover effects. It rationalizes the standard interpretation of marriage rate regressions and points out its limitations. The model...