Von Neumann–Morgenstern stable sets of income tax rates in public good economies

Abstract

This paper studies the von Neumann–Morgenstern stable sets in a public good economy, where any allocation is achieved through a proportional income tax system. The outcome of the economy is defined to be a set of tax rates. We show that whenever the core as the set of tax rates is nonempty, it is a unique stable set. When the core is empty, the set of tax rates is a stable set if and only if the set is a singleton consisting of a tax rate satisfying a certain condition. We show the existence of such stable sets.