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Optimality conditions and comparative static properties of non-linear income taxes revisited

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Laurent Simula

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Abstract

Optimality conditions and comparative static properties of the optimal Mirrleesian nonlinear income tax are obtained for a finite population and quasilinear-in-consumption preferences. Contrary to Weymark (1987) who considers quasilinear-in-leisure preferences, the linearity with respect to gross income, which is observed by the government and used asa tax base, is lost. A reduced-form optimal income tax problem is derived, in which consumption levels are obtained as functions of gross incomes. The contribution of this new reduced form is twofold. First, the optimal allocation can be characterized geometrically in a simple way. Second, comparative static results with respect to individual productivities are easy to obtain.

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Paper provided by PSE (Ecole normale supérieure) in its series PSE Working Papers with number 2007-15.

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Date of creation: 2007
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Handle: RePEc:pse:psecon:2007-15

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  1. Craig Brett & John A. Weymark, 2004. "Public Good Provision and the Comparative Statics of Optimal Nonlinear Income Taxation," Working Papers 0415, Department of Economics, Vanderbilt University. [Downloadable!]
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  2. Jonathan Hamilton & Pierre Pestieau, 2005. "Optimal Income Taxation and the Ability Distribution: Implications for Migration Equilibria," International Tax and Public Finance, Springer, vol. 12(1), pages 29-45, January. [Downloadable!] (restricted)
  3. Chambers, Robert G., 1989. "Concentrated objective functions for nonlinear taxation models," Journal of Public Economics, Elsevier, vol. 39(3), pages 365-375, August. [Downloadable!] (restricted)
  4. Richard Blundell, 1992. "Labour supply and taxation: a survey," Fiscal Studies, Institute for Fiscal Studies, vol. 13(3), pages 15-40, January.
  5. 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. [Downloadable!] (restricted)
  6. Ebert, Udo, 1992. "A reexamination of the optimal nonlinear income tax," Journal of Public Economics, Elsevier, vol. 49(1), pages 47-73, October. [Downloadable!] (restricted)
  7. Mirrlees, James A, 1971. "An Exploration in the Theory of Optimum Income Taxation," Review of Economic Studies, Blackwell Publishing, vol. 38(114), pages 175-208, April. [Downloadable!] (restricted)
  8. d'Autume, A., 2000. "L'imposition optimale du revenu : une application au cas francais," Papers 2000.104, Paris I - Economie Mathematique et Applications.
  9. 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, 02. [Downloadable!] (restricted)
  10. Guesnerie, Roger & Seade, Jesus, 1982. "Nonlinear pricing in a finite economy," Journal of Public Economics, Elsevier, vol. 17(2), pages 157-179, March. [Downloadable!] (restricted)
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  11. Stiglitz, Joseph E., 1982. "Self-selection and Pareto efficient taxation," Journal of Public Economics, Elsevier, vol. 17(2), pages 213-240, March. [Downloadable!] (restricted)
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  12. Weymark, John A, 1987. "Comparative Static Properties of Optimal Nonlinear Income Taxes," Econometrica, Econometric Society, vol. 55(5), pages 1165-85, September. [Downloadable!] (restricted)
  13. 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 435-60. [Downloadable!] (restricted)
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  14. Saez, Emmanuel, 2001. "Using Elasticities to Derive Optimal Income Tax Rates," Review of Economic Studies, Blackwell Publishing, vol. 68(1), pages 205-29, January.
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  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. [Downloadable!] (restricted)
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  16. Atkinson, A. B., 1990. "Public economics and the economic public," European Economic Review, Elsevier, vol. 34(2-3), pages 225-248, May. [Downloadable!] (restricted)
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  1. Alan Krause, 2008. "Optimal Nonlinear Income Taxation with Learning-by-Doing," Discussion Papers 08/08, Department of Economics, University of York. [Downloadable!]
  2. Brett, Craig, 2008. "The effects of population aging on optimal redistributive taxes in an overlapping generations model," MPRA Paper 8585, University Library of Munich, Germany. [Downloadable!]
  3. Craig Brett & John Weymark, 2007. "The Impact of Changing Skill Levels on Optimal Nonlinear Income Taxes," Working Papers 0708, Department of Economics, Vanderbilt University. [Downloadable!]
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