IDEAS home Printed from https://ideas.repec.org/p/ema/worpap/2014-01.html
   My bibliography  Save this paper

Optimal Nonlinear Income Taxation with Multidimensional Types: The Case with Heterogeneous Behavioral Responses

Author

Listed:
  • Laurence JACQUET
  • Etienne LEHMANN

    (Université de Cergy-Pontoise, THEMA
    University Panth´eon Assas and CREST)

Abstract

This paper develops a general method to solve the optimal nonlinear income tax model with one action (individual pre-tax income) and multidimensional characteristics. Individuals differ in terms of skills and belong to different groups. A group is a subset of individuals with the same vector of characteristics but distinct skill levels. Assuming the Spence-Mirrlees single-crossing condition (with respect to the level of skill) in each group,we first derive the optimal second-best allocation. We then show how this optimality condition leads to a tax formula in terms of behavioral responses, social welfare weights and income density in the vein of Saez (2001). However, our multidimensional context implies that all these terms are averaged across individuals who earn the same income. We also show how our method can be used to solve a large set of policy relevant problems for which it is crucial to introduce multidimensional heterogeneity, e.g., joint taxation of households,nonlinear pricing of a monopoly.

Suggested Citation

  • Laurence JACQUET & Etienne LEHMANN, 2014. "Optimal Nonlinear Income Taxation with Multidimensional Types: The Case with Heterogeneous Behavioral Responses," THEMA Working Papers 2014-01, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    • Handle: RePEc:ema:worpap:2014-01
    as

    Download full text from publisher

    File URL: http://thema.u-cergy.fr/IMG/documents/2014-01.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Tomer Blumkin & Efraim Sadka & Yotam Shem-Tov, 2012. "International Tax Competition: Zero Tax Rate at the Top Re-established," CESifo Working Paper Series 3820, CESifo.
    2. Etienne Lehmann & Laurent Simula & Alain Trannoy, 2014. "Tax me if you can! Optimal Nonlinear Income Tax Between Competing Governments," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 129(4), pages 1995-2030.
    3. Scheuer, Florian, 2013. "Adverse selection in credit markets and regressive profit taxation," Journal of Economic Theory, Elsevier, vol. 148(4), pages 1333-1360.
    4. Robin Boadway & Maurice Marchand & Pierre Pestieau & María Del Mar Racionero, 2002. "Optimal Redistribution with Heterogeneous Preferences for Leisure," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 4(4), pages 475-498, October.
    5. J. A. Mirrlees, 1971. "An Exploration in the Theory of Optimum Income Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(2), pages 175-208.
    6. Jean-Charles Rochet & Philippe Chone, 1998. "Ironing, Sweeping, and Multidimensional Screening," Econometrica, Econometric Society, vol. 66(4), pages 783-826, July.
    7. 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.
    8. Brett, Craig & Weymark, John A., 2003. "Financing education using optimal redistributive taxation," Journal of Public Economics, Elsevier, vol. 87(11), pages 2549-2569, October.
    9. Casey Rothschild & Florian Scheuer, 2016. "Optimal Taxation with Rent-Seeking," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 83(3), pages 1225-1262.
    10. Alberto Alesina & Andrea Ichino & Loukas Karabarbounis, 2011. "Gender-Based Taxation and the Division of Family Chores," American Economic Journal: Economic Policy, American Economic Association, vol. 3(2), pages 1-40, May.
    11. N. Gregory Mankiw & Matthew Weinzierl, 2010. "The Optimal Taxation of Height: A Case Study of Utilitarian Income Redistribution," American Economic Journal: Economic Policy, American Economic Association, vol. 2(1), pages 155-176, February.
    12. Peter J. Hammond, 1979. "Straightforward Individual Incentive Compatibility in Large Economies," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 46(2), pages 263-282.
    13. Emmanuel Saez, 2001. "Using Elasticities to Derive Optimal Income Tax Rates," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(1), pages 205-229.
    14. Rochet, J. C., 1985. "The taxation principle and multi-time Hamilton-Jacobi equations," Journal of Mathematical Economics, Elsevier, vol. 14(2), pages 113-128, April.
    15. Robin Boadway & Pierre Pestieau, 2006. "Tagging and redistributive taxation," Annals of Economics and Statistics, GENES, issue 83-84, pages 123-147.
    16. repec:adr:anecst:y:2006:i:83-84:p:05 is not listed on IDEAS
    17. Jean-Charles Rochet & Lars A. Stole, 2002. "Nonlinear Pricing with Random Participation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(1), pages 277-311.
    18. Helmuth Cremer & Firouz Gahvari & Jean-Marie Lozachmeur, 2010. "Tagging and Income Taxation: Theory and an Application," American Economic Journal: Economic Policy, American Economic Association, vol. 2(1), pages 31-50, February.
    19. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Hunt Allcott & Benjamin B Lockwood & Dmitry Taubinsky, 2019. "Regressive Sin Taxes, with an Application to the Optimal Soda Tax," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 134(3), pages 1557-1626.
    2. Casey Rothschild & Florian Scheuer, 2014. "A Theory of Income Taxation under Multidimensional Skill Heterogeneity," NBER Working Papers 19822, National Bureau of Economic Research, Inc.
    3. Alain Trannoy, 2019. "Talent, equality of opportunity and optimal non-linear income tax," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 17(1), pages 5-28, March.
    4. Benjamin B. Lockwood & Dmitry Taubinsky, 2017. "Regressive Sin Taxes," NBER Working Papers 23085, National Bureau of Economic Research, Inc.
    5. Fleurbaey, Marc & Maniquet, François, 2015. "Optimal taxation theory and principles of fairness," LIDAM Discussion Papers CORE 2015005, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Laurence Jacquet & Etienne Lehmann, 2015. "Optimal Income Taxation when Skills and Behavioral Elasticities are Heterogeneous," CESifo Working Paper Series 5265, CESifo.
    2. 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.
    3. Laurence Jacquet & Etienne Lehmann, 2021. "Optimal Income Taxation with Composition Effects," Journal of the European Economic Association, European Economic Association, vol. 19(2), pages 1299-1341.
    4. Kessing, Sebastian G. & Lipatov, Vilen & Zoubek, J. Malte, 2020. "Optimal taxation under regional inequality," European Economic Review, Elsevier, vol. 126(C).
    5. Weinzierl, Matthew, 2014. "The promise of positive optimal taxation: normative diversity and a role for equal sacrifice," Journal of Public Economics, Elsevier, vol. 118(C), pages 128-142.
    6. OBARA, Takuya, 2016. "Differential Income Taxation and Tiebout Sorting," CCES Discussion Paper Series 64_v2, Center for Research on Contemporary Economic Systems, Graduate School of Economics, Hitotsubashi University.
    7. Findeisen, Sebastian & Sachs, Dominik, 2015. "Designing efficient college and tax policies," Working Papers 15-09, University of Mannheim, Department of Economics.
    8. Felix Bierbrauer, 2016. "Effizienz oder Gerechtigkeit? Ungleiche Einkommen, ungleiche Vermögen und die Theorie der optimalen Besteuerung," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2016_03, Max Planck Institute for Research on Collective Goods.
    9. Sachs, Dominik & Findeisen, Sebastian, 2014. "Designing Efficient Education and Tax Policies," VfS Annual Conference 2014 (Hamburg): Evidence-based Economic Policy 100504, Verein für Socialpolitik / German Economic Association.
    10. Casey Rothschild & Florian Scheuer, 2014. "A Theory of Income Taxation under Multidimensional Skill Heterogeneity," NBER Working Papers 19822, National Bureau of Economic Research, Inc.
    11. 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.
    12. Carlier, Guillaume & Dupuis, Xavier & Rochet, Jean-Charles & Thanassoulis, John, 2024. "A general solution to the quasi linear screening problem," Journal of Mathematical Economics, Elsevier, vol. 114(C).
    13. Lehmann, Etienne & Parmentier, Alexis & Van Der Linden, Bruno, 2011. "Optimal income taxation with endogenous participation and search unemployment," Journal of Public Economics, Elsevier, vol. 95(11), pages 1523-1537.
    14. Bergstrom, Katy & Dodds, William, 2021. "Optimal taxation with multiple dimensions of heterogeneity," Journal of Public Economics, Elsevier, vol. 200(C).
    15. Renato Gomes & Jean-Marie Lozachmeur & Alessandro Pavan, 2018. "Differential Taxation and Occupational Choice," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 85(1), pages 511-557.
    16. OBARA, Takuya, 2016. "The optimal differentiated income taxation for groups categorized based on benefits from public goods," CCES Discussion Paper Series 64, Center for Research on Contemporary Economic Systems, Graduate School of Economics, Hitotsubashi University.
    17. Christian Moser & Pedro Olea de Souza e Silva, 2019. "Optimal Paternalistic Savings Policies," Opportunity and Inclusive Growth Institute Working Papers 17, Federal Reserve Bank of Minneapolis.
    18. Laurence Jacquet & Etienne lehmann & Bruno Van Der Linden, 2012. "Signing distortions in optimal tax or other adverse selection models with random participation," THEMA Working Papers 2012-27, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    19. Bierbrauer Felix J., 2016. "Effizienz oder Gerechtigkeit?: Ungleiche Einkommen, ungleiche Vermögen und Optimale Steuern," Perspektiven der Wirtschaftspolitik, De Gruyter, vol. 17(1), pages 2-24, April.
    20. Lawson, Nicholas, 2019. "Taxing the job creators: Efficient taxation with bargaining in hierarchical firms," Labour Economics, Elsevier, vol. 56(C), pages 1-25.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ema:worpap:2014-01. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Stefania Marcassa (email available below). General contact details of provider: https://edirc.repec.org/data/themafr.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.