Designing a Basic Income System with a Social Welfare Function

There is an irreducible conflict between, on the one hand, the desire to allocate income in society in an equitable way and, on the other, the desire to alleviate poverty. The conflict materializes itself in the problem of designing a basic income (or negative income tax) system which requires formulating a workable compromise. This paper approaches the problem through solving a mathematical program whose utility-based objective function explicitly embodies both considerations. The solution describes a simple basic income system and its comparative statics indicate how the specification of the objective function leads to a more, or less, pro-poor solution.