IDEAS home Printed from https://ideas.repec.org/p/van/wpaper/0415.html
   My bibliography  Save this paper

Public Good Provision and the Comparative Statics of Optimal Nonlinear Income Taxation

Author

Listed:
  • Craig Brett

    (Department of Economics, Mount Allison University)

  • John A. Weymark

    (Department of Economics, Vanderbilt University)

Abstract

Comparative static properties of the solution to an optimal nonlinear income tax problem are provided for a model in which the government both designs an income tax schedule for redistributive purposes and provides a public good optimally. There are two types of individuals, distinguished by their skill levels, who have the same quasilinear preferences for labour supply and the consumption of a private and a public good. The parameters for which comparative statics are obtained are the weights in a weighted utilitarian social welfare function, the prices of the private and public goods, a taste parameter that measures the onerousness of working, and the individual skill levels.

Suggested Citation

  • Craig Brett & John A. Weymark, 2004. "Public Good Provision and the Comparative Statics of Optimal Nonlinear Income Taxation," Vanderbilt University Department of Economics Working Papers 0415, Vanderbilt University Department of Economics.
    • Handle: RePEc:van:wpaper:0415
    as

    Download full text from publisher

    File URL: http://www.accessecon.com/pubs/VUECON/vu04-w15.pdf
    File Function: First version, 2004
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Tuomala, Matti, 1990. "Optimal Income Tax and Redistribution," OUP Catalogue, Oxford University Press, number 9780198286059.
    2. 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.
    3. Myles,Gareth D., 1995. "Public Economics," Cambridge Books, Cambridge University Press, number 9780521497695.
    4. 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.
    5. Vidar Christiansen, 1981. "Evaluation of Public Projects under Optimal Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 48(3), pages 447-457.
    6. Boadway, Robin & Cuff, Katherine & Marchand, Maurice, 2000. "Optimal Income Taxation with Quasi-linear Preferences Revisited," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 2(4), pages 435-460.
    7. 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.
    8. Weymark, John A., 1986. "A reduced-form optimal nonlinear income tax problem," Journal of Public Economics, Elsevier, vol. 30(2), pages 199-217, July.
    9. 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.
    10. Guesnerie,Roger, 1998. "A Contribution to the Pure Theory of Taxation," Cambridge Books, Cambridge University Press, number 9780521629560.
    11. Weymark, John A, 1987. "Comparative Static Properties of Optimal Nonlinear Income Taxes," Econometrica, Econometric Society, vol. 55(5), pages 1165-1185, September.
    12. 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.
    13. Mirrlees, J. A., 1976. "Optimal tax theory : A synthesis," Journal of Public Economics, Elsevier, vol. 6(4), pages 327-358, November.
    14. 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.
    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. Alan Krause, 2008. "Optimal Nonlinear Income Taxation with Learning-by-Doing," Discussion Papers 08/08, Department of Economics, University of York.
    2. Craig Brett, 2012. "The effects of population aging on optimal redistributive taxes in an overlapping generations model," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 19(6), pages 777-799, December.
    3. 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.
    4. Brett, Craig & Weymark, John A., 2011. "How optimal nonlinear income taxes change when the distribution of the population changes," Journal of Public Economics, Elsevier, vol. 95(11), pages 1239-1247.
    5. Craig Brett & John A. Weymark, 2019. "Optimal nonlinear taxation of income and savings without commitment," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 21(1), pages 5-43, February.
    6. Rafael Aigner, 2014. "Environmental Taxation and Redistribution Concerns," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 70(2), pages 249-277, June.
    7. Robin Boadway & Pierre Pestieau, 2006. "Tagging and redistributive taxation," Annals of Economics and Statistics, GENES, issue 83-84, pages 123-147.
    8. Leung, Tin Cheuk & Yazici, Hakki, 2011. "On the Optimal Skill Distribution in a Mirrleesian Economy," MPRA Paper 32596, University Library of Munich, Germany.
    9. 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.
    10. 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.
    11. Giebe, Thomas & Schweinzer, Paul, 2014. "Consuming your way to efficiency: Public goods provision through non-distortionary tax lotteries," European Journal of Political Economy, Elsevier, vol. 36(C), pages 1-12.
    12. Hakki Yazici & Tin Cheuk Leung, 2017. "On Optimal Skill Distribution in a Mirrleesian Economy," Bogazici Journal, Review of Social, Economic and Administrative Studies, Bogazici University, Department of Economics, vol. 31(2), pages 73-82.
    13. Laurent Simula, 2007. "Optimality conditions and comparative static properties of non-linear income taxes revisited," PSE Working Papers halshs-00588074, HAL.
    14. Craig Brett & John A. Weymark, 2005. "Optimal Nonlinear Taxation of Income and Savings in a Two Class Economy," Vanderbilt University Department of Economics Working Papers 0525, Vanderbilt University Department of Economics.
    15. Sebastian G. Kessing & Benny Schneider, 2014. "Regional Investment and Individual Redistribution in a Federation," Volkswirtschaftliche Diskussionsbeiträge 168-14, Universität Siegen, Fakultät Wirtschaftswissenschaften, Wirtschaftsinformatik und Wirtschaftsrecht.
    16. Krause, Alan, 2009. "Optimal nonlinear income taxation with learning-by-doing," Journal of Public Economics, Elsevier, vol. 93(9-10), pages 1098-1110, October.

    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. 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.
    3. Massimo Morelli & Huanxing Yang & Lixin Ye, 2012. "Competitive Nonlinear Taxation and Constitutional Choice," American Economic Journal: Microeconomics, American Economic Association, vol. 4(1), pages 142-175, February.
    4. 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.
    5. Robin Boadway, 1998. "The Mirrlees Approach to the Theory of Economic Policy," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 5(1), pages 67-81, February.
    6. 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.
    7. Laurent Simula & Alain Trannoy, 2023. "Bunching in rank-dependent optimal income tax schedules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(1), pages 237-263, January.
    8. Oztek, Abdullah Selim, 2019. "A Characterization for Marginal Income Tax Schedules," MPRA Paper 103046, University Library of Munich, Germany, revised 02 Dec 2019.
    9. Laurent Simula & Alain Trannoy, 2012. "Shall we keep the highly skilled at home? The optimal income tax perspective," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(4), pages 751-782, October.
    10. Craig Brett, 2012. "The effects of population aging on optimal redistributive taxes in an overlapping generations model," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 19(6), pages 777-799, December.
    11. 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.
    12. Etro, Federico, 2016. "Research in economics and public finance," Research in Economics, Elsevier, vol. 70(1), pages 1-6.
    13. Robin Boadway, 2012. "Recent Advances in Optimal Income Taxation," Hacienda Pública Española / Review of Public Economics, IEF, vol. 200(1), pages 15-39, March.
    14. Li, Jinlu & Lin, Shuanglin, 2016. "Optimal income taxation with discrete skill distribution," Mathematical Social Sciences, Elsevier, vol. 83(C), pages 58-70.
    15. Laurent Simula, 2007. "Optimality conditions and comparative static properties of non-linear income taxes revisited," Working Papers halshs-00588074, HAL.
    16. Kanbur, Ravi & Tuomala, Matti, 2002. "Understanding The Evolution Of Inequality During Transition: The Optimal Income Taxation," Working Papers 7240, Cornell University, Department of Applied Economics and Management.
    17. Laurent Simula & Alain Trannoy, 2020. "Bunching and Rank-Dependent Optimal Income Taxation," CESifo Working Paper Series 8443, CESifo.
    18. Martin Hellwig, 2004. "Optimal Income Taxation, Public-Goods Provision and Public-Sector Pricing: A Contribution to the Foundations of Public Economics," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2004_14, Max Planck Institute for Research on Collective Goods.
    19. Morten Nyborg Støstad & Frank Cowell, 2021. "Inequality as an Externality: Consequences for Tax Design," PSE Working Papers halshs-03495989, HAL.
    20. Mathias Hungerbühler & Etienne Lehmann & Alexis Parmentier & Bruno Van Der Linden, 2006. "Optimal Redistributive Taxation in a Search Equilibrium Model," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(3), pages 743-767.

    More about this item

    Keywords

    Optimal income taxation; public goods; comparative statics;
    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
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

    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:van:wpaper:0415. 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: John P. Conley (email available below). General contact details of provider: http://www.vanderbilt.edu/econ/wparchive/index.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.