This paper establishes nonparametric identification of individual treatment effects in a nonseparable model with a binary endogenous regressor. The outcome variable may be continuous, discrete, or a mixture of both, while the instrumental variable can take binary values. First, we study the case...

Under multiplicative separability of the cost function, this paper investigates the identification of the procurement model. Moreover, we characterize the model restrictions on observables and show its observational equivalence to one where the function of private information is the identity.