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The Optimal Income Tax: Restatement and Extensions

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  • Homburg, Stefan

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

  • Homburg, Stefan, 2002. "The Optimal Income Tax: Restatement and Extensions," Hannover Economic Papers (HEP) dp-252, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
  • Handle: RePEc:han:dpaper:dp-252
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    1. 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.
    2. 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.
    3. Brito, Dagobert L, et al, 1990. "Pareto Efficient Tax Structures," Oxford Economic Papers, Oxford University Press, vol. 42(1), pages 61-77, January.
    4. 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.
    5. Stiglitz, Joseph E., 1987. "Pareto efficient and optimal taxation and the new new welfare economics," Handbook of Public Economics, in: A. J. Auerbach & M. Feldstein (ed.), Handbook of Public Economics, edition 1, volume 2, chapter 15, pages 991-1042, Elsevier.
    6. Diamond, P., 1980. "Income taxation with fixed hours of work," Journal of Public Economics, Elsevier, vol. 13(1), pages 101-110, February.
    7. 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.
    8. Ebert, Udo, 1992. "A reexamination of the optimal nonlinear income tax," Journal of Public Economics, Elsevier, vol. 49(1), pages 47-73, October.
    9. 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.
    10. Guesnerie, Roger & Seade, Jesus, 1982. "Nonlinear pricing in a finite economy," Journal of Public Economics, Elsevier, vol. 17(2), pages 157-179, March.
    11. 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.
    12. repec:bla:scandj:v:85:y:1983:i:3:p:359-71 is not listed on IDEAS
    13. Stiglitz, Joseph E., 1982. "Self-selection and Pareto efficient taxation," Journal of Public Economics, Elsevier, vol. 17(2), pages 213-240, March.
    14. Strawczynski, Michel, 1998. "Social insurance and the optimum piecewise linear income tax," Journal of Public Economics, Elsevier, vol. 69(3), pages 371-388, September.
    15. repec:bla:scandj:v:96:y:1994:i:2:p:275-82 is not listed on IDEAS
    16. Dixit, Avinash & Seade, Jesus, 1979. "Utilitarian versus egalitarian redistributions," Economics Letters, Elsevier, vol. 4(2), pages 121-124.
    17. 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.
    18. Brito, Dagobert L & Oakland, William H, 1977. "Some Properties of the Optimal Income-Tax," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 18(2), pages 407-423, June.
    19. John C. Harsanyi, 1955. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility," Journal of Political Economy, University of Chicago Press, vol. 63(4), pages 309-309.
    20. Edmund S. Phelps, 1973. "Taxation of Wage Income for Economic Justice," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 87(3), pages 331-354.
    21. 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.
    22. 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.
    23. Stern, N. H., 1976. "On the specification of models of optimum income taxation," Journal of Public Economics, Elsevier, vol. 6(1-2), pages 123-162.
    24. 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.
    25. Efraim Sadka, 1976. "On Income Distribution, Incentive Effects and Optimal Income Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 43(2), pages 261-267.
    26. Weibull, Jorgen W., 1989. "A note on the continuity of incentive schedules," Journal of Public Economics, Elsevier, vol. 39(2), pages 239-243, July.
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    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. 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.
    4. 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.
    5. Kessing, Sebastian G. & Konrad, Kai A., 2005. "Union Strategy and Optimal Income Taxation," IZA Discussion Papers 1545, Institute of Labor Economics (IZA).
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. Homburg, Stefan, 2010. "Allgemeine Steuerlehre: Kapitel 1. Grundbegriffe der Steuerlehre," EconStor Books, ZBW - Leibniz Information Centre for Economics, number 92547.
    11. Lohse Tim, 2009. "Redistributional Consequences of Decentralizing the Tax-Transfer Scheme," Review of Economics, De Gruyter, vol. 60(2), pages 168-180, August.
    12. Lohse Tim, 2014. "The Objections against Workfare Revised," Review of Economics, De Gruyter, vol. 65(1), pages 95-118, April.
    13. 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.
    14. 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.
    15. 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.
    16. 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.

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    More about this item

    Keywords

    Optimal income taxation; contract theory; incentives; welfare;
    All these keywords.

    JEL classification:

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

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