NAGAOKA Naruto
   Department   Hiroshima shudo University  The Faculty of Economic Sciences
   Position   Associate Professor
Language English
Publication Date 2021/02
Type Articles
Title A Study on Progressivity in Tax Burden Problems
Contribution Type Co-Authored Publication
Journal SSRN Working Paper Series
Journal TypeAnother Country
Author and coauthor Yutaka Kawase, Naruto Nagaoka
Details This paper examines society’s tax burden under the conditions of tax burden monotonicity and the order preservation of after-tax income with the following results. First, everyone’s after-tax income is identical in a system that maximizes the after-tax income of the person with the lowest before-tax income, and everyone shares an equal tax burden in a tax system that maximizes the after-tax income of the person with the highest before-tax income. Second, a proportional tax is expressed as a tax burden vector equal to the convex combination of the tax burden vector that maximizes the after-tax income of the person with the lowest before-tax income and that of the person with the highest before-tax income. Third, the tax burden in the nucleolus of a tax burden game is progressive when the national burden rate is above 50% and regressive when below 50% for both the average and marginal tax rates.