Before revision:  We provide a tractable characterisation of the sharp identified set  , under various classes of nonparametric distributional assumptions on the unobserved terms. Simulations suggest that the model can be informative about the sign and magnitude of the systematic components of the agents' preferences, under different nonparametric distributional restrictions. We also discuss a way to conduct inference on the sharp identified set. We use our methodology to investigate if the variations in marriage matching patterns observed over time in the U.S. are caused by changes in the agents' preferences for assortativeness in education .
After revision:  We provide a tractable characterisation of the sharp identified set , under various classes of nonparametric distributional assumptions on the agents' unobserved characteristics. We use our methodology to investigate if the variations in marriage matching patterns observed over time in the U.S. are caused by changes in the agents' preferences for assortativeness in education .