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The Pareto-Frontier in a Simple Mirrleesian Model of Income Taxation

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  • Pierre C. Boyer
  • Felix J. Bierbrauer

Abstract

We characterize the Pareto-frontier in a simple Mirrleesian model of income taxation. We show how the second-best frontier which incorporates incentive constraints due to private information on productive abilities relates to the first-best frontier which takes only resource constraints into account. In particular, we argue that the second-best frontier can be interpreted as a Laffer-curve. We also use this second-best frontier for a comparative statics analysis of how optimal income tax rates vary with the degree of inequity aversion, and for a characterization of optimal public-good provision. We show that a more inequity averse policy maker chooses tax schedules that are more redistributive and involve higher marginal tax rates, while simultaneously providing less public good.

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  • Pierre C. Boyer & Felix J. Bierbrauer, 2014. "The Pareto-Frontier in a Simple Mirrleesian Model of Income Taxation," Annals of Economics and Statistics, GENES, issue 113-114, pages 185-206.
    • Handle: RePEc:adr:anecst:y:2014:i:113-114:p:185-206
    DOI: 10.15609/annaeconstat2009.113-114.185
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    1. 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.
    2. 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.
    3. Sandmo, Agnar, 1998. "Redistribution and the marginal cost of public funds," Journal of Public Economics, Elsevier, vol. 70(3), pages 365-382, December.
    4. Bierbrauer, Felix J. & Boyer, Pierre C., 2013. "Political competition and Mirrleesian income taxation: A first pass," Journal of Public Economics, Elsevier, vol. 103(C), pages 1-14.
    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. Jan Boone & Lans Bovenberg, 2007. "The Simple Economics of Bunching: Optimal Taxation with Quasi‐Linear Preferences," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 9(1), pages 89-105, 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. 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. Weymark, John A, 1987. "Comparative Static Properties of Optimal Nonlinear Income Taxes," Econometrica, Econometric Society, vol. 55(5), pages 1165-1185, September.
    10. 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.
    11. Gahvari, Firouz, 2006. "On the marginal cost of public funds and the optimal provision of public goods," Journal of Public Economics, Elsevier, vol. 90(6-7), pages 1251-1262, August.
    12. Felix Bierbrauer, 2009. "Optimal Income Taxation and Public Good Provision with Endogenous Interest Groups," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 11(2), pages 311-342, April.
    13. Eytan Sheshinski, 1972. "The Optimal Linear Income-tax," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 39(3), pages 297-302.
    14. Weymark, John A., 1986. "A reduced-form optimal nonlinear income tax problem," Journal of Public Economics, Elsevier, vol. 30(2), pages 199-217, July.
    15. Hellwig, Martin F., 1986. "The optimal linear income tax revisited," Journal of Public Economics, Elsevier, vol. 31(2), pages 163-179, November.
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    Cited by:

    1. Andrea Attar & Thomas Mariotti & François Salanié, 2020. "The Social Costs of Side Trading," The Economic Journal, Royal Economic Society, vol. 130(630), pages 1608-1622.
    2. Bierbrauer, Felix J. & Boyer, Pierre C., 2013. "Political competition and Mirrleesian income taxation: A first pass," Journal of Public Economics, Elsevier, vol. 103(C), pages 1-14.
    3. Soldatos, Gerasimos T., 2015. "An Anti-Austerity Policy Recipe against Debt Accumulation in the Presence of Hidden Economy," MPRA Paper 69911, University Library of Munich, Germany.
    4. Rafael Aigner, 2014. "Environmental Taxation and Redistribution Concerns," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 70(2), pages 249-277, June.
    5. Soldatos, Gerasimos T., 2015. "Tax Aversion, Laffer Curve, and the Self-financing of Tax Cuts," MPRA Paper 62470, University Library of Munich, Germany.
    6. Alain Trannoy, 2019. "Talent, equality of opportunity and optimal non-linear income tax," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 17(1), pages 5-28, March.
    7. Felix J. Bierbrauer & Pierre C. Boyer & Emanuel Hansen, 2023. "Pareto‐Improving Tax Reforms and the Earned Income Tax Credit," Econometrica, Econometric Society, vol. 91(3), pages 1077-1103, May.
    8. Felix J. Bierbrauer, 2014. "Optimal Tax and Expenditure Policy with Aggregate Uncertainty," American Economic Journal: Microeconomics, American Economic Association, vol. 6(1), pages 205-257, February.
    9. Felix Bierbrauer, 2010. "On the Optimality of Optimal Income Taxation," CESifo Working Paper Series 3163, CESifo.
    10. 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 Research on Collective Goods 2016_03, Max Planck Institute for Research on Collective Goods.

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    More about this item

    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

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