The problem of demand inversion -- a crucial step in the estimation of randomutility discrete-choice models -- is equivalent to the determination of stable outcomes intwo-sided matching models. This equivalence applies to random utility models that are notnecessarily additive, smooth, nor even...

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 propose two Mathematical Programming with Equilibrium Constraints (MPEC) formulations: the MPEC-Sparse and the MPEC-Dense to estimate a class of separable matching models. We compare MPEC with the Nested Fixed-Point (NFXP) algorithm -- a well-received method in the literature of structural...

We propose an alternative notion of non-transferable utility (NTU) stability in matching models that relies on money burning. Our model captures an exchange economy with indivisible goods, fixed prices, and no centralized assignment mechanism. In these models, a non-transferable numeraire (e.g.,...

In this paper we propose a methodology for estimating preference parameters in matching models. Our estimator applies to repeated observations of matchings among a fixed group of individuals, which is a similar data structure as in Fox (2010). Our estimator is based on stability conditions in...