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Marginal deadweight loss when the income tax is nonlinear

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  • Blomquist, Sören
  • Simula, Laurent

Abstract

Most theoretical work on how to calculate the marginal deadweight loss has been done for linear taxes and for variations in linear budget constraints. This is quite surprising because most income tax systems are nonlinear, generating nonlinear budget constraints. Instead of developing the proper procedure to calculate the marginal deadweight loss for variations in nonlinear income taxes, a common procedure has been to linearize the nonlinear budget constraint and apply methods that are correct for variations in a linear income tax. Such a procedure leads to incorrect results. The main purpose of this paper is to show how to correctly calculate the marginal deadweight loss when the income tax is nonlinear. A second purpose is to evaluate the bias in results that obtains when a linearization procedure is used. Our main theoretical result is that the overall curvature of the tax system plays the same role as the curvature of indifference curves for the size of the marginal deadweight loss. Using numerical simulations calibrated on US data, we show that common linearization procedures may lead to substantial overestimation of the marginal deadweight loss.

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  • Blomquist, Sören & Simula, Laurent, 2019. "Marginal deadweight loss when the income tax is nonlinear," Journal of Econometrics, Elsevier, vol. 211(1), pages 47-60.
    • Handle: RePEc:eee:econom:v:211:y:2019:i:1:p:47-60
    DOI: 10.1016/j.jeconom.2018.12.005
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    Cited by:

    1. Jacquet, Laurence & Lehmann, Etienne & Van der Linden, Bruno, 2013. "Optimal redistributive taxation with both extensive and intensive responses," Journal of Economic Theory, Elsevier, vol. 148(5), pages 1770-1805.
    2. John Creedy & Norman Gemmell, 2013. "Measuring revenue responses to tax rate changes in multi-rate income tax systems: behavioural and structural factors," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 20(6), pages 974-991, December.
    3. Egor Malkov, 2021. "Welfare Effects of the Labor Income Tax Changes on Married Couples: A Sufficient Statistics Approach," Working Papers 590, ECINEQ, Society for the Study of Economic Inequality.
    4. Miao, Dingquan & Selin, Håkan & Söderström, Martin, 2022. "Earnings responses to even higher taxes," Working Paper Series 2022:12, IFAU - Institute for Evaluation of Labour Market and Education Policy.
    5. Liang, Che-Yuan, 2018. "Taxes and Household Labor Supply: Estimating Distributional Effects of Nonlinear Prices on Multidimensional Choice," Working Paper Series 2018:2, Uppsala University, Department of Economics.
    6. Kumar, Anil & Liang, Che-Yuan, 2020. "Estimating taxable income responses with elasticity heterogeneity," Journal of Public Economics, Elsevier, vol. 188(C).
    7. Egor Malkov, 2021. "Welfare Effects of Labor Income Tax Changes on Married Couples: A Sufficient Statistics Approach," Papers 2108.09981, arXiv.org, revised Sep 2021.
    8. John Creedy & Norman Gemmell, 2013. "Measuring revenue responses to tax rate changes in multi-rate income tax systems: behavioural and structural factors," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 20(6), pages 974-991, December.

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    More about this item

    Keywords

    Marginal deadweight loss; Taxable income; Nonlinear budget constraint;
    All these keywords.

    JEL classification:

    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • H24 - Public Economics - - Taxation, Subsidies, and Revenue - - - Personal Income and Other Nonbusiness Taxes and Subsidies
    • H31 - Public Economics - - Fiscal Policies and Behavior of Economic Agents - - - Household
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis

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