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Optimal income taxation with composition effects

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  • Laurence Jacquet

    (THEMA - Théorie économique, modélisation et applications - UCP - Université de Cergy Pontoise - Université Paris-Seine - CNRS - Centre National de la Recherche Scientifique)

  • Etienne Lehmann

    (CRED - Centre de Recherche en Economie et Droit - UP2 - Université Panthéon-Assas, TEPP - Travail, Emploi et Politiques Publiques - UPEM - Université Paris-Est Marne-la-Vallée - CNRS - Centre National de la Recherche Scientifique)

Abstract

We study the optimal nonlinear income tax problem with multidimensional individual characteristics on which taxes cannot be conditioned. We obtain an optimal tax formula that generalizes the standard one by averaging, with specific weights, the sufficient statistics of individuals who earn the same income. Our first main contribution consists in showing that multidimensional heterogeneity brings a new source of endogeneity to the sufficient statistics that we call composition effects. We highlight that composition effects may substantially affect optimal marginal tax rates. Our results put the stress on the need for empirical studies on sufficient statistics for different demographic groups e.g., according to gender, age, ethnicity. As a second main contribution, we show the equivalence between the tax perturbation and mechanism design approaches which bridges the gap between both methods that have, so far, been used separately in the literature.
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  • Laurence Jacquet & Etienne Lehmann, 2018. "Optimal income taxation with composition effects," Working Papers halshs-01878488, HAL.
  • Handle: RePEc:hal:wpaper:halshs-01878488
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    Cited by:

    1. Jacquet, Laurence & Lehmann, Etienne, 2021. "How to Tax Different Incomes?," IZA Discussion Papers 14739, Institute of Labor Economics (IZA).
    2. Dominik Sachs & Aleh Tsyvinski & Nicolas Werquin, 2020. "Nonlinear Tax Incidence and Optimal Taxation in General Equilibrium," Econometrica, Econometric Society, vol. 88(2), pages 469-493, March.
    3. Laurence Jacquet & Etienne Lehmann, 2023. "Optimal tax problems with multidimensional heterogeneity: a mechanism design approach," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(1), pages 135-164, January.
    4. Ferey, Antoine, 2022. "Redistribution and Unemployment Insurance," Rationality and Competition Discussion Paper Series 345, CRC TRR 190 Rationality and Competition.
    5. Michaël Sicsic, 2022. "Does labour income react more to income tax or means‐tested benefits reforms?," Fiscal Studies, John Wiley & Sons, vol. 43(3), pages 291-319, September.
    6. Lehmann, Etienne & Lefebvre, Marie-Noëlle & Sicsic, Michaël, 2022. "Estimating the Laffer Tax Rate on Capital Income: Cross-base Responses Matter!," CEPR Discussion Papers 17540, C.E.P.R. Discussion Papers.
    7. Albert Jan Hummel, 2021. "Unemployment and Tax Design," CESifo Working Paper Series 9177, CESifo.
    8. Albert Jan Hummel, 2021. "Unemployment and tax design," Tinbergen Institute Discussion Papers 21-061/VI, Tinbergen Institute.
    9. Eddy Zanoutene, 2023. "Scale‐dependent and risky returns to savings: Consequences for optimal capital taxation," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 25(3), pages 532-569, June.
    10. Georges Casamatta, 2023. "Optimal income taxation with tax avoidance and endogenous labour supply," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 56(3), pages 913-939, August.
    11. Doligalski, Paweł & Rojas, Luis E., 2023. "Optimal redistribution with a shadow economy," Theoretical Economics, Econometric Society, vol. 18(2), May.
    12. 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.
    13. Gauthier, Stéphane & Henriet, Fanny, 2018. "Commodity taxes and taste heterogeneity," European Economic Review, Elsevier, vol. 101(C), pages 284-296.
    14. Albert Jan Hummel, 2021. "Tax Curvature," CESifo Working Paper Series 9220, CESifo.
    15. Janeba, Eckhard & Schulz, Karl, 2023. "Nonlinear taxation and international mobility in general equilibrium," Journal of Public Economics, Elsevier, vol. 218(C).
    16. Schulz, Karl & Tsyvinski, Aleh & Werquin, Nicolas, 2023. "Generalized compensation principle," Theoretical Economics, Econometric Society, vol. 18(4), November.
    17. Hummel, Albert Jan, 2023. "Tax curvature," Journal of Public Economics, Elsevier, vol. 224(C).
    18. Hummel, Albert Jan & Jacobs, Bas, 2023. "Optimal income taxation in unionized labor markets," Journal of Public Economics, Elsevier, vol. 220(C).
    19. Aart Gerritsen, 2024. "Optimal nonlinear taxation: a simpler approach," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 31(2), pages 486-510, April.
    20. Johannes Hermle & Andreas Peichl, 2018. "Jointly Optimal Taxes for Different Types of Income," CESifo Working Paper Series 7248, CESifo.

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