I spent a bit of time looking at the details of Negative income tax. It is possible that I am not understanding the subtleties of Negative income tax but it appears that what I proposed is different and better than Negative Income tax. The reason for this is the following. In my scheme if a person is making wage y which is less than some threshold wage x, the state pays him (y-x)/2 which satisfied two objectives (1) People who are poorer get more state aid (2) People are still incentivized to work harder and make more money since their total payout (wages + government aid) is an increasing function of their wage. Let's take a negative tax rate of say -100%. Here a person making $1/hour gets another $1 from the government and a person making $4 per hour gets another $4 per hour from the government. This satisfies objective (2) above but not objective (1). Of course, one would argue that there would be tax slabs and consequently even different negative tax rates at different levels, but this problem exists within each tax slab. One could make each tax slab infinitesimally small and achieve the same effect as my proposal but that would be much like saying a function is linear, when it is really exponential and you are approximating it piecewise linear with really small pieces.