Before revision:  To do so, we develop new discrete choice tools to learn about the average willingness to pay for a voucher of a given amount and its average costs in a nonparametric model of school choice. Our tools exploit the insight that these welfare parameters can be expressed as functions of the underlying demand for the different schools.
After revision:  To do so, we develop new discrete choice tools to learn about the average willingness to pay and average cost of a school voucher in a program that randomly allocates vouchers. We consider a nonparametric, nonseparable choice model that places no restrictions on the functional form of utilities or the distribution of unobserved heterogeneity. We exploit the insight that these welfare parameters can be expressed as functions of the underlying demand for the different schools.