Is it always good to let universities select their students?

We undertake a first step to investigating a reform that has been applied in numerous universities across Europe: the right to select students. We ask to what extent this right will increase the efficiency of the university. While it seems evident that giving universities the right to select students that match best with the human capital of professors should increase efficiency measures in the productivities of students in the labor market, we point to a potentially negative efect. We argue that allowing universities to select the students they prefer can reduce the incentives of the universities to improve the human capital of their professors.