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How Optimal Nonlinear Income Taxes Change When the Distribution of the Population Changes

Author

Listed:
  • Craig Brett

    (Department of Economics, Mount Allison University)

  • John A. Weymark

    (Department of Economics, Vanderbilt University)

Abstract

The impacts of changing the number of individuals of a particular skill level on the solutions to two versions of the finite population optimal nonlinear income tax problem are investigated. In one version, preferences are quasilinear-in-leisure. For this version, it is shown that it is possible to sign the directions of change in everyone's optimal consumptions and optimal marginal tax rates. In the other version, preferences are quasilinear-in-consumption. For this version, it is shown that is possible to sign the directions of change in everyone's optimal before-tax incomes and optimal marginal tax rates. Moreover, the directions of change in the optimal marginal tax rates are the same for the two specifications of preferences.

Suggested Citation

  • Craig Brett & John A. Weymark, 2010. "How Optimal Nonlinear Income Taxes Change When the Distribution of the Population Changes," Vanderbilt University Department of Economics Working Papers 1003, Vanderbilt University Department of Economics.
    • Handle: RePEc:van:wpaper:1003
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    References listed on IDEAS

    as
    1. Craig Brett & John A. Weymark, 2008. "Public Good Provision And The Comparative Statics Of Optimal Nonlinear Income Taxation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 49(1), pages 255-290, February.
    2. 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.
    3. 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.
    4. 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.
    5. Weymark, John A, 1987. "Comparative Static Properties of Optimal Nonlinear Income Taxes," Econometrica, Econometric Society, vol. 55(5), pages 1165-1185, September.
    6. Brett, Craig & Weymark, John A., 2008. "The impact of changing skill levels on optimal nonlinear income taxes," Journal of Public Economics, Elsevier, vol. 92(7), pages 1765-1771, July.
    7. Guesnerie, Roger & Seade, Jesus, 1982. "Nonlinear pricing in a finite economy," Journal of Public Economics, Elsevier, vol. 17(2), pages 157-179, March.
    8. 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.
    9. Eric Maskin & John Riley, 1984. "Monopoly with Incomplete Information," RAND Journal of Economics, The RAND Corporation, vol. 15(2), pages 171-196, Summer.
    10. Brett, Craig & Weymark, John A., 2003. "Financing education using optimal redistributive taxation," Journal of Public Economics, Elsevier, vol. 87(11), pages 2549-2569, October.
    11. Jonathan Hamilton & Pierre Pestieau, 2005. "Optimal Income Taxation and the Ability Distribution: Implications for Migration Equilibria," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 12(1), pages 29-45, January.
    12. Weymark, John A., 1986. "A reduced-form optimal nonlinear income tax problem," Journal of Public Economics, Elsevier, vol. 30(2), pages 199-217, July.
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    Citations

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    Cited by:

    1. Jang-Ting Guo & Alan Krause, 2018. "Changing social preferences and optimal redistributive taxation," Oxford Economic Papers, Oxford University Press, vol. 70(1), pages 73-92.
    2. Guo, Jang-Ting & Krause, Alan, 2015. "Dynamic nonlinear income taxation with quasi-hyperbolic discounting and no commitment," Journal of Economic Behavior & Organization, Elsevier, vol. 109(C), pages 101-119.
    3. Laurence Jacquet & Etienne Lehmann, 2023. "Optimal tax problems with multidimensional heterogeneity: a mechanism design approach," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(1), pages 135-164, January.
    4. Philippe Bontems & Estelle Gozlan, 2018. "Trade, environment, and income inequality: An optimal taxation approach," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 20(4), pages 557-581, August.
    5. Alan Krause, 2017. "On redistributive taxation under the threat of high-skill emigration," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(4), pages 845-856, April.
    6. Craig Brett & John A. Weymark, 2009. "Comparative Statics of Optimal Nonlinear Income Taxation in the Presence of a Publicly Provided Input," Vanderbilt University Department of Economics Working Papers 0910, Vanderbilt University Department of Economics.
    7. Alan Krause, 2012. "Nonlinear Income Tax Reforms," Discussion Papers 12/03, Department of Economics, University of York.
    8. Darong Dai & Guoqiang Tian, 2023. "Voting over selfishly optimal income tax schedules with tax-driven migrations," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(1), pages 183-235, January.
    9. Li, Jinlu & Lin, Shuanglin, 2016. "Optimal income taxation with discrete skill distribution," Mathematical Social Sciences, Elsevier, vol. 83(C), pages 58-70.

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    More about this item

    Keywords

    Asymmetric information; comparative statics; optimal income taxation;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation

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