We assume that students can acquire a wage premium, thanks to studies, and form a rational expectation of their future earnings, which depends on personal ability. Students receive a private, noisy signal of their ability, and universities can condition admission decisions on the results of...

We solve the non-linear income tax program for a rank-dependent social welfare function à la Yaari, expressing the trade-off between size and inequality using the Gini or related families of positional indices. The key idea is that when agents optimize and absent bunching, ranks in the actual...