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Generalization of the Deaton Theorem: Piecewise Linear Income Taxation and Participation Decisions

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  • Robin Boadway
  • Katherine Cuff

Abstract

Deaton (1979) showed that if preferences are weakly separable in goods and labour and quasihomothetic in goods and the government imposes an optimal linear progressive tax, commodity taxes are redundant. Hellwig (2009) generalized the Deaton theorem by showing that the allocation obtained under differential commodity taxes and an arbitrary linear progressive income tax is Pareto-dominated by one with uniform commodity taxes and a reformed linear progressive income tax. We show that both the Deaton theorem and the Hellwig extension continue to apply if a) the government implements a piecewise linear progressive income tax and b) labour varies along both the intensive and extensive margins. Some extensions are considered.

Suggested Citation

  • Robin Boadway & Katherine Cuff, 2021. "Generalization of the Deaton Theorem: Piecewise Linear Income Taxation and Participation Decisions," CESifo Working Paper Series 9265, CESifo.
    • Handle: RePEc:ces:ceswps:_9265
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    References listed on IDEAS

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    1. Thomas Piketty & Emmanuel Saez, 2012. "Optimal Labor Income Taxation," NBER Working Papers 18521, National Bureau of Economic Research, Inc.
    2. Tuomala, Matti, 1990. "Optimal Income Tax and Redistribution," OUP Catalogue, Oxford University Press, number 9780198286059.
    3. Boadway, Robin & Marchand, Maurice & Pestieau, Pierre, 1994. "Towards a theory of the direct-indirect tax mix," Journal of Public Economics, Elsevier, vol. 55(1), pages 71-88, September.
    4. Emmanuel Saez, 2002. "Optimal Income Transfer Programs: Intensive versus Extensive Labor Supply Responses," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(3), pages 1039-1073.
    5. Kaplow, Louis, 2006. "On the undesirability of commodity taxation even when income taxation is not optimal," Journal of Public Economics, Elsevier, vol. 90(6-7), pages 1235-1250, August.
    6. Diamond, P., 1980. "Income taxation with fixed hours of work," Journal of Public Economics, Elsevier, vol. 13(1), pages 101-110, February.
    7. W. J. Corlett & D. C. Hague, 1953. "Complementarity and the Excess Burden of Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 21(1), pages 21-30.
    8. Slemrod, Joel & Yitzhaki, Shlomo & Mayshar, Joram & Lundholm, Michael, 1994. "The optimal two-bracket linear income tax," Journal of Public Economics, Elsevier, vol. 53(2), pages 269-290, February.
    9. Laroque, Guy R., 2005. "Indirect taxation is superfluous under separability and taste homogeneity: a simple proof," Economics Letters, Elsevier, vol. 87(1), pages 141-144, April.
    10. Hellwig, Martin F., 2009. "A note on Deaton's theorem on the undesirability of nonuniform excise taxation," Economics Letters, Elsevier, vol. 105(2), pages 186-188, November.
    11. Patricia Apps & Ngo Long & Ray Rees, 2014. "Optimal Piecewise Linear Income Taxation," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 16(4), pages 523-545, August.
    12. Boadway, Robin & Song, Zhen, 2016. "Indirect taxes for redistribution: Should necessity goods be favored?," Research in Economics, Elsevier, vol. 70(1), pages 64-88.
    13. Sandmo, Agnar, 1976. "Optimal taxation : An introduction to the literature," Journal of Public Economics, Elsevier, vol. 6(1-2), pages 37-54.
    14. Eytan Sheshinski, 1972. "The Optimal Linear Income-tax," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 39(3), pages 297-302.
    15. Laurence Jacquet & Etienne Lehmann & Bruno van Der Linden, 2013. "The Optimal Marginal Tax Rates with both Extensive and Intensive Responses," Post-Print hal-02979440, HAL.
    16. Hellwig, Martin F., 2010. "A generalization of the Atkinson-Stiglitz (1976) theorem on the undesirability of nonuniform excise taxation," Economics Letters, Elsevier, vol. 108(2), pages 156-158, August.
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    JEL classification:

    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • H23 - Public Economics - - Taxation, Subsidies, and Revenue - - - Externalities; Redistributive Effects; Environmental Taxes and Subsidies
    • H24 - Public Economics - - Taxation, Subsidies, and Revenue - - - Personal Income and Other Nonbusiness Taxes and Subsidies

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