Before revision:  We provide a tractable characterisation of the sharp identified setand discuss inference , under various classes of nonparametric distributional assumptions on the agents' unobserved characteristics. We use our methodologyto test if the variations in marriage matching patterns observed over time in the U.S. are caused by changes in the agents' preferences for education assortativeness or by a shift in the proportion of educated women .
After revision:  We provide a tractable characterisation of the sharp identified setand discuss inference , under various classes of nonparametric distributional assumptions on the unobserved heterogeneity. Using our methodology, we re-examine some of the relevant questions in the empirical literature on the marriage market which have been previously studied under the Multinomial Logit assumption .