I don't see any point in this. By supply and demand it will just explode prices upward, probably by about the amount deducted. So the poor will have to do more paperwork to keep up yet are those least able to do so, and the rich will get richer because rents will go up. Doesn't seem to be the desired outcome.

The same thing happens with social engineering of tuition costs or health care costs or day care costs or pretty much anything centrally controlled.