We develop the theory of stability for aggregate matchings used in empirical studies and establish fundamental properties of stable matchings including the result that the set of stable matchings is a non-empty, complete, and distributive lattice. Aggregate matchings are relevant as matching...

We present a theoretical explanation of inefficient early matching in matching markets. Our explanation is based on strategic complementarities and strategic unraveling. We identify a negative externality imposed on the rest of the market by agents who make early offers. As a consequence, an...