And for efficiencies sake we could centralise the collection of that cut. We could call it "taxes" (snark aside, this is why public education works. If you need to have a free market system, then have well regulated collection agencies compete for the attention of universities who's only allowed source of funding will be this cut, with some additional bonus paid out by the state for social mobility. One measure of this could be the increase in salary vs expected salary based on socioeconomic class)