IDEAS home Printed from https://ideas.repec.org/a/mhr/finarc/urnsici0015-2218(200211)584_363toitra_2.0.tx_2-f.html
   My bibliography  Save this article

The Optimal Income Tax: Restatement and Extensions

Author

Listed:
  • Stefan Homburg

Abstract

The paper presents an axiomatic restatement of the standard approach to nonlinear income taxation. It assumes a finite number of taxpayers rather than an uncountable infinity. Analytical tools are developed which facilitate proving the existence of tax schedules that are continuous, differentiable almost everywhere, and possess left-and right-derivatives at every point of non-differentiability. These tax schedules even become differentiable in the limit. Numerical examples are provided.

Suggested Citation

  • Stefan Homburg, 2001. "The Optimal Income Tax: Restatement and Extensions," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 58(4), pages 363-395, November.
  • Handle: RePEc:mhr:finarc:urn:sici:0015-2218(200211)58:4_363:toitra_2.0.tx_2-f
    as

    Download full text from publisher

    File URL: https://www.mohrsiebeck.com/en/article/the-optimal-income-tax-restatement-and-extensions-1016280015221022905812
    Download Restriction: Fulltext access is included for subscribers to the printed version.
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Slemrod, Joel & Yitzhaki, Shlomo & Mayshar, Joram & Lundholm, Michael, 1994. "The optimal two-bracket linear income tax," Journal of Public Economics, Elsevier, vol. 53(2), pages 269-290, February.
    2. Matthews, Steven & Moore, John, 1987. "Monopoly Provision of Quality and Warranties: An Exploration in the Theory of Multidimensional Screening," Econometrica, Econometric Society, vol. 55(2), pages 441-467, March.
    3. Wane, Waly, 2001. "The optimal income tax when poverty is a public 'bad'," Journal of Public Economics, Elsevier, vol. 82(2), pages 271-299, November.
    4. Brito, Dagobert L, et al, 1990. "Pareto Efficient Tax Structures," Oxford Economic Papers, Oxford University Press, vol. 42(1), pages 61-77, January.
    5. Boadway, Robin & Keen, Michael, 1993. "Public Goods, Self-Selection and Optimal Income Taxation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 34(3), pages 463-478, August.
    6. J. A. Mirrlees, 1971. "An Exploration in the Theory of Optimum Income Taxation," Review of Economic Studies, Oxford University Press, vol. 38(2), pages 175-208.
    7. Lollivier, Stefan & Rochet, Jean-Charles, 1983. "Bunching and second-order conditions: A note on optimal tax theory," Journal of Economic Theory, Elsevier, vol. 31(2), pages 392-400, December.
    8. Svensson, Lars-Gunnar & Weibull, Jorgen W., 1986. "An upper bound on optimal income taxes," Journal of Public Economics, Elsevier, vol. 30(2), pages 165-181, July.
    9. Kanbur, Ravi & Tuomala, Matti, 1994. " Inherent Inequality and the Optimal Graduation of Marginal Tax Rates," Scandinavian Journal of Economics, Wiley Blackwell, vol. 96(2), pages 275-282.
    10. Strawczynski, Michel, 1998. "Social insurance and the optimum piecewise linear income tax," Journal of Public Economics, Elsevier, vol. 69(3), pages 371-388, September.
    11. Dixit, Avinash & Seade, Jesus, 1979. "Utilitarian versus egalitarian redistributions," Economics Letters, Elsevier, vol. 4(2), pages 121-124.
    12. Guesnerie, Roger & Seade, Jesus, 1982. "Nonlinear pricing in a finite economy," Journal of Public Economics, Elsevier, vol. 17(2), pages 157-179, March.
    13. Roell, Ailsa A., 1985. "A note on the marginal tax rate in a finite economy," Journal of Public Economics, Elsevier, vol. 28(2), pages 267-272, November.
    14. Efraim Sadka, 1976. "On Income Distribution, Incentive Effects and Optimal Income Taxation," Review of Economic Studies, Oxford University Press, vol. 43(2), pages 261-267.
    15. 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.
    16. Diamond, P., 1980. "Income taxation with fixed hours of work," Journal of Public Economics, Elsevier, vol. 13(1), pages 101-110, February.
    17. Ebert, Udo, 1992. "A reexamination of the optimal nonlinear income tax," Journal of Public Economics, Elsevier, vol. 49(1), pages 47-73, October.
    18. Christiansen, Vidar, 1983. " Some Important Properties of the Social Marginal Utility of Income," Scandinavian Journal of Economics, Wiley Blackwell, vol. 85(3), pages 359-371.
    19. Weibull, Jorgen W., 1989. "A note on the continuity of incentive schedules," Journal of Public Economics, Elsevier, vol. 39(2), pages 239-243, July.
    20. Jesus Seade, 1982. "On the Sign of the Optimum Marginal Income Tax," Review of Economic Studies, Oxford University Press, vol. 49(4), pages 637-643.
    21. John C. Harsanyi, 1955. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility," Journal of Political Economy, University of Chicago Press, vol. 63, pages 309-309.
    22. Stiglitz, Joseph E., 1982. "Self-selection and Pareto efficient taxation," Journal of Public Economics, Elsevier, vol. 17(2), pages 213-240, March.
    23. Edmund S. Phelps, 1973. "Taxation of Wage Income for Economic Justice," The Quarterly Journal of Economics, Oxford University Press, vol. 87(3), pages 331-354.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Schock, Matthias Malte, 2019. "Steuerreformvorschläge des Mirrlees Committee und der Stiftung Marktwirtschaft [Tax Reform Proposals of the Mirrlees Committee and the Stiftung Marktwirtschaft]," MPRA Paper 96689, University Library of Munich, Germany.
    2. Lohse, Tim & Lutz, Peter F. & Thomann, Christian, 2011. "Investments in the Human Capital of the Socially Disadvantaged Children - Effects on Redistribution," Hannover Economic Papers (HEP) dp-484, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
    3. Lohse Tim, 2014. "The Objections against Workfare Revised," Review of Economics, De Gruyter, vol. 65(1), pages 95-118, April.
    4. Kessing, Sebastian G. & Konrad, Kai A., 2006. "Union strategy and optimal direct taxation," Journal of Public Economics, Elsevier, vol. 90(1-2), pages 393-402, January.
    5. Hellwig, Martin F., 2007. "A contribution to the theory of optimal utilitarian income taxation," Journal of Public Economics, Elsevier, vol. 91(7-8), pages 1449-1477, August.
    6. Stefan Homburg, 2006. "Coping with Rational Prodigals: A Theory of Social Security and Savings Subsidies," Economica, London School of Economics and Political Science, vol. 73(289), pages 47-58, February.
    7. Kessing, Sebastian G. & Konrad, Kai A., 2005. "Union Strategy and Optimal Income Taxation," IZA Discussion Papers 1545, Institute of Labor Economics (IZA).
    8. Robin Boadway & Zhen Song & Jean‐François Tremblay, 2017. "Optimal Income Taxation and Job Choice," Scandinavian Journal of Economics, Wiley Blackwell, vol. 119(4), pages 910-938, October.
    9. Breyer, Friedrich & Franz, Wolfgang & Homburg, Stefan & Schnabel, Reinhold & Wille, Eberhard, 2004. "Reform der sozialen Sicherung: Kurzfassung," EconStor Books, ZBW - Leibniz Information Centre for Economics, number 92399, November.
    10. Homburg, Stefan, 2002. "Optimal Marginal Tax Rates for Low Incomes: Positive, Negative, or Zero?," Hannover Economic Papers (HEP) dp-255, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
    11. Johann K. Brunner, 2003. "Optimale direkte und indirekte Steuern bei unterschiedlicher Anfangsausstattung," Economics working papers 2003-10, Department of Economics, Johannes Kepler University Linz, Austria.
    12. Homburg Stefan & Lohse Tim, 2005. "Optimal Taxes and Transfers under Partial Information," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 225(6), pages 622-629, December.
    13. Homburg, Stefan, 2010. "Allgemeine Steuerlehre: Kapitel 1. Grundbegriffe der Steuerlehre," EconStor Books, ZBW - Leibniz Information Centre for Economics, number 92547, November.
    14. Adeel Razaq & M. Suleman Sabir & Jam Javed Iqbal & Syed Kamran Ali Shah & Muhammad Asif Khan, 2011. "Impact of CSR, Quality of Work Life and Organizational Structure on Employee’s Performance in Pakistan," Journal of Social and Development Sciences, AMH International, vol. 2(2), pages 66-72.
    15. Tim Lohse & Peter Lutz & Christian Thomann, 2013. "Redistributional consequences of early childhood intervention," The European Journal of Health Economics, Springer;Deutsche Gesellschaft für Gesundheitsökonomie (DGGÖ), vol. 14(3), pages 373-381, June.
    16. Lohse Tim, 2009. "Redistributional Consequences of Decentralizing the Tax-Transfer Scheme," Review of Economics, De Gruyter, vol. 60(2), pages 168-180, August.

    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. Boadway, Robin & Jacquet, Laurence, 2008. "Optimal marginal and average income taxation under maximin," Journal of Economic Theory, Elsevier, vol. 143(1), pages 425-441, November.
    2. Oztek, Abdullah Selim, 2019. "A Characterization for Marginal Income Tax Schedules," MPRA Paper 103046, University Library of Munich, Germany, revised 02 Dec 2019.
    3. Hellwig, Martin F., 2007. "A contribution to the theory of optimal utilitarian income taxation," Journal of Public Economics, Elsevier, vol. 91(7-8), pages 1449-1477, August.
    4. Louis Kaplow, 2007. "Optimal income transfers," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 14(3), pages 295-325, June.
    5. Yukihiro Nishimura, 2008. "Envy Minimization In The Optimal Tax Context," Working Paper 1178, Economics Department, Queen's University.
    6. Craig Brett, 2007. "Optimal nonlinear taxes for families," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 14(3), pages 225-261, June.
    7. Stiglitz, Joseph E., 2018. "Pareto efficient taxation and expenditures: Pre- and re-distribution," Journal of Public Economics, Elsevier, vol. 162(C), pages 101-119.
    8. Boone, Jan & Bovenberg, Lans, 2004. "The optimal taxation of unskilled labor with job search and social assistance," Journal of Public Economics, Elsevier, vol. 88(11), pages 2227-2258, September.
    9. Bierbrauer, Felix & Brett, Craig & Weymark, John A., 2013. "Strategic nonlinear income tax competition with perfect labor mobility," Games and Economic Behavior, Elsevier, vol. 82(C), pages 292-311.
    10. Brett, Craig & Weymark, John A., 2017. "Voting over selfishly optimal nonlinear income tax schedules," Games and Economic Behavior, Elsevier, vol. 101(C), pages 172-188.
    11. Robin Boadway & Zhen Song & Jean‐François Tremblay, 2017. "Optimal Income Taxation and Job Choice," Scandinavian Journal of Economics, Wiley Blackwell, vol. 119(4), pages 910-938, October.
    12. Simula, Laurent & Trannoy, Alain, 2010. "Optimal income tax under the threat of migration by top-income earners," Journal of Public Economics, Elsevier, vol. 94(1-2), pages 163-173, February.
    13. Etro, Federico, 2016. "Research in economics and public finance," Research in Economics, Elsevier, vol. 70(1), pages 1-6.
    14. Laurent Simula, 2010. "Optimal nonlinear income tax and nonlinear pricing: optimality conditions and comparative static properties," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 35(2), pages 199-220, July.
    15. Tomer Blumkin & Yoram Margalioth & Efraim Sadka, 2010. "Taxing Children: The Re-distributive Role of Child Benefits - Revisited," CESifo Working Paper Series 2970, CESifo.
    16. Craig Brett & John A Weymark, 2014. "Citizen Candidates and Voting Over Incentive-Compatible Nonlinear Income Tax Schedules," Vanderbilt University Department of Economics Working Papers 14-00010, Vanderbilt University Department of Economics.
    17. Li, Jinlu & Lin, Shuanglin, 2016. "Optimal income taxation with discrete skill distribution," Mathematical Social Sciences, Elsevier, vol. 83(C), pages 58-70.
    18. Homburg, Stefan, 2002. "Optimal Marginal Tax Rates for Low Incomes: Positive, Negative, or Zero?," Hannover Economic Papers (HEP) dp-255, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
    19. Brito, Dagobert L. & Hamilton, Jonathan H. & Slutsky, Steven M. & Stiglitz, Joseph E., 1995. "Randomization in optimal income tax schedules," Journal of Public Economics, Elsevier, vol. 56(2), pages 189-223, February.
    20. Auerbach, Alan J. & Hines, James Jr., 2002. "Taxation and economic efficiency," Handbook of Public Economics, in: A. J. Auerbach & M. Feldstein (ed.), Handbook of Public Economics, edition 1, volume 3, chapter 21, pages 1347-1421, Elsevier.

    More about this item

    JEL classification:

    • H2 - Public Economics - - Taxation, Subsidies, and Revenue
    • D3 - Microeconomics - - Distribution

    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:mhr:finarc:urn:sici:0015-2218(200211)58:4_363:toitra_2.0.tx_2-f. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Thomas Wolpert). General contact details of provider: https://www.mohrsiebeck.com/fa .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.