%0 Report %A Apps, Patricia %A Long, Ngo Van %A Rees, Ray %T Optimal Piecewise Linear Income Taxation %D 2011 %8 2011 Oct %I Institute of Labor Economics (IZA) %C Bonn %7 IZA Discussion Paper %N 6007 %U https://www.iza.org/index.php/publications/dp6007 %X Given its significance in practice, piecewise linear taxation has received relatively little attention in the literature. This paper offers a simple and transparent analysis of its main characteristics. We fully characterize optimal tax parameters for the cases in which budget sets are convex and nonconvex respectively. A numerical analysis of a discrete version of the model shows the circumstances under which each of these cases will hold as a global optimum. We find that, given plausible parameter values and wage distributions, the globally optimal tax system is convex, and marginal rate progressivity increases with rising inequality. %K taxation %K piecewise linear %K income