IDEAS home Printed from https://ideas.repec.org/p/osk/wpaper/2508r.html

Supplementary Commodity Taxes, Labor Tax, and the Tax-mix

Author

Listed:
  • Yukihiro Nishimura

    (Graduate School of Economics, Osaka University)

Abstract

This paper extends the Atkinson‒Stiglitz Theorem by relaxing the assumption of weak separability of preferences. We show that, to supplement income taxation, the optimal commodity tax burden relative to disposable income is regressive. This regressivity reinforces the classic U-shaped pattern of optimal labor income taxation. Moreover, when goods are complementary to labor, e.g., child care, the overall marginal labor tax burden increases once commodity taxes are introduced; when they are substitutes, it decreases. Under the Rawlsian objective, these variations in marginal tax rates have stronger effects at lower income levels.

Suggested Citation

  • Yukihiro Nishimura, 2025. "Supplementary Commodity Taxes, Labor Tax, and the Tax-mix," Discussion Papers in Economics and Business 25-08-Rev., Osaka University, Graduate School of Economics, revised Mar 2026.
  • Handle: RePEc:osk:wpaper:2508r
    as

    Download full text from publisher

    File URL: https://www2.econ.osaka-u.ac.jp/econ_society/dp/2508R.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. W. J. Corlett & D. C. Hague, 1953. "Complementarity and the Excess Burden of Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 21(1), pages 21-30.
    2. Laroque, Guy R., 2005. "Indirect taxation is superfluous under separability and taste homogeneity: a simple proof," Economics Letters, Elsevier, vol. 87(1), pages 141-144, April.
    3. J. A. Mirrlees, 1971. "An Exploration in the Theory of Optimum Income Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(2), pages 175-208.
    4. Pawel‚ Doligalski & Piotr Dworczak & Mohammad Akbarpour & Scott Duke Kominers, 2025. "Optimal redistribution via income taxation and market design," GRAPE Working Papers 103, GRAPE Group for Research in Applied Economics.
    5. Saez, Emmanuel, 2002. "The desirability of commodity taxation under non-linear income taxation and heterogeneous tastes," Journal of Public Economics, Elsevier, vol. 83(2), pages 217-230, February.
    6. Christiansen, Vidar, 1984. "Which commodity taxes should supplement the income tax?," Journal of Public Economics, Elsevier, vol. 24(2), pages 195-220, July.
    7. Hunt Allcott & Benjamin B Lockwood & Dmitry Taubinsky, 2019. "Regressive Sin Taxes, with an Application to the Optimal Soda Tax," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 134(3), pages 1557-1626.
    8. Laurence Jacquet & Etienne Lehmann & Bruno van Der Linden, 2013. "The Optimal Marginal Tax Rates with both Extensive and Intensive Responses," Post-Print hal-02979440, HAL.
    9. Nava, M. & Schroyen, F. & Marchand, M., 1996. "Optimal fiscal and public expenditure policy in a two-class economy," LIDAM Reprints CORE 1231, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    10. Nava, Mario & Schroyen, Fred & Marchand, Maurice, 1996. "Optimal fiscal and public expenditure policy in a two-class economy," Journal of Public Economics, Elsevier, vol. 61(1), pages 119-137, July.
    11. Emmanuel Saez, 2001. "Using Elasticities to Derive Optimal Income Tax Rates," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(1), pages 205-229.
    12. Claus Thustrup Kreiner & Nicolaj Verdelin, 2012. "Optimal Provision of Public Goods: A Synthesis," Scandinavian Journal of Economics, Wiley Blackwell, vol. 114(2), pages 384-408, June.
    13. Atkinson, A. B. & Stiglitz, J. E., 1976. "The design of tax structure: Direct versus indirect taxation," Journal of Public Economics, Elsevier, vol. 6(1-2), pages 55-75.
    14. Jacobs, Bas & Boadway, Robin, 2014. "Optimal linear commodity taxation under optimal non-linear income taxation," Journal of Public Economics, Elsevier, vol. 117(C), pages 201-210.
    15. Tuomala, Matti, 2016. "Optimal Redistributive Taxation," OUP Catalogue, Oxford University Press, number 9780198753414.
    16. Kaplow, Louis, 2006. "On the undesirability of commodity taxation even when income taxation is not optimal," Journal of Public Economics, Elsevier, vol. 90(6-7), pages 1235-1250, August.
    17. Kevin Spiritus, 2025. "Optimal commodity taxation when households earn multiple incomes," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 32(1), pages 98-119, February.
    18. Jesus Seade, 1982. "On the Sign of the Optimum Marginal Income Tax," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(4), pages 637-643.
    19. Diamond, Peter A, 1998. "Optimal Income Taxation: An Example with a U-Shaped Pattern of Optimal Marginal Tax Rates," American Economic Review, American Economic Association, vol. 88(1), pages 83-95, March.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jacobs, Bas & Boadway, Robin, 2014. "Optimal linear commodity taxation under optimal non-linear income taxation," Journal of Public Economics, Elsevier, vol. 117(C), pages 201-210.
    2. Boadway,Robin & Cuff,Katherine, 2022. "Tax Policy," Cambridge Books, Cambridge University Press, number 9781108949453, Enero-Abr.
    3. Louis Kaplow, 2024. "Optimal Income Taxation," Journal of Economic Literature, American Economic Association, vol. 62(2), pages 637-738, June.
    4. Xavier Ruiz del Portal, 2020. "Two reasons for not using commodity taxation in the presence of an optimal income tax," Hacienda Pública Española / Review of Public Economics, IEF, vol. 232(1), pages 9-28, March.
    5. Boadway, Robin & Song, Zhen, 2016. "Indirect taxes for redistribution: Should necessity goods be favored?," Research in Economics, Elsevier, vol. 70(1), pages 64-88.
    6. Antoine Ferey & Benjamin B. Lockwood & Dmitry Taubinsky, 2024. "Sufficient Statistics for Nonlinear Tax Systems with General Across-Income Heterogeneity," American Economic Review, American Economic Association, vol. 114(10), pages 3206-3249, October.
    7. Robin Boadway & Katherine Cuff, 2023. "The Case for Uniform Commodity Taxation: A Tax Reform Approach," Hacienda Pública Española / Review of Public Economics, IEF, vol. 244(1), pages 79-109, March.
    8. Thomas,Alastair Geoffrey Arthur, 2024. "VAT Rate Structures in Theory and Practice," Policy Research Working Paper Series 10677, The World Bank.
    9. John T. Revesz, 2014. "A Numerical Model of Optimal Differentiated Indirect Taxation," Hacienda Pública Española / Review of Public Economics, IEF, vol. 211(4), pages 9-66, December.
    10. Lu, Chun-Hui & Ueng, K.L. Glen & Chang, Juin-Jen, 2022. "Consumption indivisibility and the optimal tax mix," Economic Modelling, Elsevier, vol. 112(C).
    11. Felix Bierbrauer, 2016. "Effizienz oder Gerechtigkeit? Ungleiche Einkommen, ungleiche Vermögen und die Theorie der optimalen Besteuerung," Discussion Paper Series of the Max Planck Institute for Behavioral Economics 2016_03, Max Planck Institute for Behavioral Economics.
    12. Jacobs, Bas & de Mooij, Ruud A., 2015. "Pigou meets Mirrlees: On the irrelevance of tax distortions for the second-best Pigouvian tax," Journal of Environmental Economics and Management, Elsevier, vol. 71(C), pages 90-108.
    13. Odd E. Nygård & John T. Revesz, 2015. "Optimal indirect taxation and the uniformity debate: A review of theoretical results and empirical contributions," Discussion Papers 809, Statistics Norway, Research Department.
    14. Bierbrauer Felix J., 2016. "Effizienz oder Gerechtigkeit?: Ungleiche Einkommen, ungleiche Vermögen und Optimale Steuern," Perspektiven der Wirtschaftspolitik, De Gruyter, vol. 17(1), pages 2-24, April.
    15. Spencer Bastani & Sebastian Koehne, 2024. "How Should Consumption Be Taxed?," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 80(3), pages 259-302.
    16. Koehne, Sebastian & Sachs, Dominik, 2022. "Pareto-improving reforms of tax deductions," European Economic Review, Elsevier, vol. 148(C).
    17. Louis Kaplow, 2022. "Optimal Income Taxation," NBER Working Papers 30199, National Bureau of Economic Research, Inc.
    18. Yukihiro Nishimura, 2025. "Supplementary Commodity Taxes, Labor Tax on the Middle Class, and the Tax-mix," Discussion Papers in Economics and Business 25-08, Osaka University, Graduate School of Economics.
    19. Robin Boadway, 2011. "Viewpoint: Innovations in the theory and practice of redistribution policy," Canadian Journal of Economics, Canadian Economics Association, vol. 44(4), pages 1138-1183, November.
    20. Sebastian Koehne & Dominik Sachs, 2016. "Pareto-Efficient Tax Breaks," CESifo Working Paper Series 6147, CESifo.

    More about this item

    Keywords

    ;
    ;
    ;

    JEL classification:

    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • H24 - Public Economics - - Taxation, Subsidies, and Revenue - - - Personal Income and Other Nonbusiness Taxes and Subsidies
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:osk:wpaper:2508r. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: The Economic Society of Osaka University (email available below). General contact details of provider: https://edirc.repec.org/data/feosujp.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.