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Optimal Marginal and Average Income Taxation under Maxi-min

  • Robin Boadway


    (Queen's University)

  • Laurence Jacquet


    (Universite Catholique de Louvain)

Using the Mirrlees optimal income tax model with a maxi-min social welfare function, we derive conditions for a decreasing marginal tax rate throughout the skill distribution, a strictly concave tax function in income and a single-peaked average tax schedule. With additive preferences and a constant labor supply elasticity, marginal tax rates are decreasing below the modal skill level, and will also decrease above the mode if aggregate skills are non-decreasing with the skill level. In this case and with a bounded skill distribution or with a constant hazard rate, the tax function is strictly concave in income and the average tax rate single-peaked. When quasilinear utility functions apply in either consumption or leisure, under fairly mild restrictions on the truncated or untruncated distribution function, marginal tax rates are decreasing in skill and the average tax profile is single-peaked. The distribution of skills has the same qualitative influence for either case of quasilinearity. These results continue to hold when there is bunching at the bottom due to a binding non-negativity constraint. We also illustrate how relaxing the assumption of constant elasticity of labor supply, generally used in the literature, modifies the results.

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Paper provided by Queen's University, Department of Economics in its series Working Papers with number 1073.

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Length: 37 pages
Date of creation: May 2006
Date of revision:
Handle: RePEc:qed:wpaper:1073
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  1. Michel Strawczynski & Momi Dahan, 2000. "Optimal Income Taxation: An Example with a U-Shaped Pattern of Optimal Marginal Tax Rates: Comment," American Economic Review, American Economic Association, vol. 90(3), pages 681-686, June.
  2. Myles,Gareth D., 1995. "Public Economics," Cambridge Books, Cambridge University Press, number 9780521497695.
  3. repec:bla:restud:v:65:y:1998:i:1:p:165-83 is not listed on IDEAS
  4. Momi Dahan & Michel Strawczynski, 2012. "The Optimal Asymptotic Income Tax Rate," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 14(5), pages 737-755, October.
  5. repec:bla:restud:v:38:y:1971:i:114:p:175-208 is not listed on IDEAS
  6. repec:tpr:qjecon:v:87:y:1973:i:3:p:331-54 is not listed on IDEAS
  7. repec:ebl:ecbull:v:8:y:2006:i:2:p:1-6 is not listed on IDEAS
  8. Gruber, Jon & Saez, Emmanuel, 2002. "The elasticity of taxable income: evidence and implications," Journal of Public Economics, Elsevier, vol. 84(1), pages 1-32, April.
  9. Antoine d'Autume, 2001. "L'imposition optimale du revenu : une application au cas français," Revue Française d'Économie, Programme National Persée, vol. 15(3), pages 3-63.
  10. 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.
  11. Ebert, Udo, 1992. "A reexamination of the optimal nonlinear income tax," Journal of Public Economics, Elsevier, vol. 49(1), pages 47-73, October.
  12. 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.
  13. Stiglitz, Joseph E., 1982. "Self-selection and Pareto efficient taxation," Journal of Public Economics, Elsevier, vol. 17(2), pages 213-240, March.
  14. Guy Laroque, 2005. "Income Maintenance and Labor Force Participation," Econometrica, Econometric Society, vol. 73(2), pages 341-376, 03.
  15. Diamond, P., 1994. "Optimal Income Taxation: An Exemple with a U-Shaped Pattern of Optimal Marginal Tax Rates," Working papers 94-14, Massachusetts Institute of Technology (MIT), Department of Economics.
  16. Emmanuel Saez, 2000. "Using Elasticities to Derive Optimal Income Tax Rates," NBER Working Papers 7628, National Bureau of Economic Research, Inc.
  17. repec:bla:restud:v:43:y:1976:i:2:p:261-67 is not listed on IDEAS
  18. Alexis PARMENTIER & Etienne LEHMANN & Jean HINDRIKS, 2006. "Optimal income taxation and the shape of average tax rates," Economics Bulletin, AccessEcon, vol. 8(2), pages 1-6.
  19. Daniel Feenberg & James Poterba, 1992. "Income Inequality and the Incomes of Very High Income Taxpayers: Evidence from Tax Returns," NBER Working Papers 4229, National Bureau of Economic Research, Inc.
  20. Guesnerie, Roger & Laffont, Jean-Jacques, 1984. "A complete solution to a class of principal-agent problems with an application to the control of a self-managed firm," Journal of Public Economics, Elsevier, vol. 25(3), pages 329-369, December.
  21. Kanbur, Ravi & Tuomala, Matti, 1994. " Inherent Inequality and the Optimal Graduation of Marginal Tax Rates," Scandinavian Journal of Economics, Wiley Blackwell, vol. 96(2), pages 275-82.
  22. Tuomala, Matti, 1990. "Optimal Income Tax and Redistribution," OUP Catalogue, Oxford University Press, number 9780198286059, July.
  23. Atkinson, A. B., 1990. "Public economics and the economic public," European Economic Review, Elsevier, vol. 34(2-3), pages 225-248, May.
  24. Thomas Piketty, 1997. "La redistribution fiscale face au chômage," Revue Française d'Économie, Programme National Persée, vol. 12(1), pages 157-201.
  25. Weymark, John A., 1986. "A reduced-form optimal nonlinear income tax problem," Journal of Public Economics, Elsevier, vol. 30(2), pages 199-217, July.
  26. Weymark, John A, 1987. "Comparative Static Properties of Optimal Nonlinear Income Taxes," Econometrica, Econometric Society, vol. 55(5), pages 1165-85, September.
  27. Revesz, John T, 1989. "The Optimal Taxation of Labour Income," Public Finance = Finances publiques, , vol. 44(3), pages 453-75.
  28. Seade, J. K., 1977. "On the shape of optimal tax schedules," Journal of Public Economics, Elsevier, vol. 7(2), pages 203-235, April.
  29. BOADWAY, Robin & CUFF, Katherine & MARCHAND, Maurice, . "Optimal income taxation with quasi-linear preferences revisited," CORE Discussion Papers RP 1466, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  30. Chone, Philippe & Laroque, Guy, 2005. "Optimal incentives for labor force participation," Journal of Public Economics, Elsevier, vol. 89(2-3), pages 395-425, February.
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