Public Good Provision and the Comparative Statics of Optimal Nonlinear Income Taxation

Comparative static properties of the solution to an optimal nonlinear income tax problem are provided for a model in which the government both designs an income tax schedule for redistributive purposes and provides a public good optimally. There are two types of individuals, distinguished by their skill levels, who have the same quasilinear preferences for labour supply and the consumption of a private and a public good. The parameters for which comparative statics are obtained are the weights in a weighted utilitarian social welfare function, the prices of the private and public goods, a taste parameter that measures the onerousness of working, and the individual skill levels.