IDEAS home Printed from https://ideas.repec.org/p/ces/ceswps/_3308.html
   My bibliography  Save this paper

Optimal Redistributive Taxation with both Extensive and Intensive Responses

Author

Listed:
  • Laurence Jacquet
  • Etienne Lehmann
  • Bruno Van der Linden

Abstract

We derive a general optimal income tax formula when individuals respond along both the intensive and extensive margins and when income effects can prevail. Individuals are heterogeneous across two dimensions: their skill and their disutility of participation. Prefer-ences over consumption and work effort can differ with respect to the level of skill, with only the Spence-Mirrlees condition being imposed. Employing a new tax perturbation approach that integrates the nonlinearity of the tax function into the behavioral elasticities, we derive a fairly mild condition for optimal marginal tax rates to be nonnegative everywhere. Numerical simulations using U.S. data confirm the mildness of our conditions. The extensive margin strongly reduces the level of optimal marginal tax rates.

Suggested Citation

  • Laurence Jacquet & Etienne Lehmann & Bruno Van der Linden, 2010. "Optimal Redistributive Taxation with both Extensive and Intensive Responses," CESifo Working Paper Series 3308, CESifo.
    • Handle: RePEc:ces:ceswps:_3308
    as

    Download full text from publisher

    File URL: https://www.cesifo.org/DocDL/cesifo1_wp3308.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Philippe Chone & Guy Laroque, 2010. "Negative Marginal Tax Rates and Heterogeneity," American Economic Review, American Economic Association, vol. 100(5), pages 2532-2547, December.
    2. Hellwig, Martin F., 2007. "A contribution to the theory of optimal utilitarian income taxation," Journal of Public Economics, Elsevier, vol. 91(7-8), pages 1449-1477, August.
    3. Boone, Jan & Bovenberg, Lans, 2004. "The optimal taxation of unskilled labor with job search and social assistance," Journal of Public Economics, Elsevier, vol. 88(11), pages 2227-2258, September.
    4. Boadway, Robin & Jacquet, Laurence, 2008. "Optimal marginal and average income taxation under maximin," Journal of Economic Theory, Elsevier, vol. 143(1), pages 425-441, November.
    5. Sandmo, Agnar, 1998. "Redistribution and the marginal cost of public funds," Journal of Public Economics, Elsevier, vol. 70(3), pages 365-382, December.
    6. Choné, Philippe & Laroque, Guy, 2011. "Optimal taxation in the extensive model," Journal of Economic Theory, Elsevier, vol. 146(2), pages 425-453, March.
    7. Emmanuel Saez & Joel Slemrod & Seth H. Giertz, 2012. "The Elasticity of Taxable Income with Respect to Marginal Tax Rates: A Critical Review," Journal of Economic Literature, American Economic Association, vol. 50(1), pages 3-50, March.
    8. Henrik Jacobsen Kleven & Claus Thustrup Kreiner & Emmanuel Saez, 2009. "The Optimal Income Taxation of Couples," Econometrica, Econometric Society, vol. 77(2), pages 537-560, March.
    9. Thomas Piketty & Emmanuel Saez, 2012. "Optimal Labor Income Taxation," NBER Working Papers 18521, National Bureau of Economic Research, Inc.
    10. Rochet, Jean-Charles, 2009. "Monopoly regulation without the Spence-Mirrlees assumption," Journal of Mathematical Economics, Elsevier, vol. 45(9-10), pages 693-700, September.
    11. Thomas Piketty & Emmanuel Saez, 2013. "Optimal Taxation of Labor Income," PSE-Ecole d'économie de Paris (Postprint) halshs-00944881, HAL.
    12. Bas Jacobs, 2010. "The Marginal Cost of Public Funds is One," CESifo Working Paper Series 3250, CESifo.
    13. 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.
    14. Vidar Christiansen, 1981. "Evaluation of Public Projects under Optimal Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 48(3), pages 447-457.
    15. 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.
    16. Guesnerie,Roger, 1998. "A Contribution to the Pure Theory of Taxation," Cambridge Books, Cambridge University Press, number 9780521629560.
    17. Blomquist, Sören & Simula, Laurent, 2019. "Marginal deadweight loss when the income tax is nonlinear," Journal of Econometrics, Elsevier, vol. 211(1), pages 47-60.
    18. Atkinson, A. B., 1990. "Public economics and the economic public," European Economic Review, Elsevier, vol. 34(2-3), pages 225-248, May.
    19. Chone, Philippe & Laroque, Guy, 2005. "Optimal incentives for labor force participation," Journal of Public Economics, Elsevier, vol. 89(2-3), pages 395-425, February.
    20. Seade, J. K., 1977. "On the shape of optimal tax schedules," Journal of Public Economics, Elsevier, vol. 7(2), pages 203-235, April.
    21. Eric Maskin & John Riley, 1984. "Monopoly with Incomplete Information," RAND Journal of Economics, The RAND Corporation, vol. 15(2), pages 171-196, Summer.
    22. Baron, David P & Myerson, Roger B, 1982. "Regulating a Monopolist with Unknown Costs," Econometrica, Econometric Society, vol. 50(4), pages 911-930, July.
    23. Kleven, Henrik Jacobsen & Kreiner, Claus Thustrup, 2006. "The marginal cost of public funds: Hours of work versus labor force participation," Journal of Public Economics, Elsevier, vol. 90(10-11), pages 1955-1973, November.
    24. Katherine Cuff, 2000. "Optimality of workfare with heterogeneous preferences," Canadian Journal of Economics, Canadian Economics Association, vol. 33(1), pages 149-174, February.
    25. Heckman, James J, 1993. "What Has Been Learned about Labor Supply in the Past Twenty Years?," American Economic Review, American Economic Association, vol. 83(2), pages 116-121, May.
    26. Herwig Immervoll & Henrik Jacobsen Kleven & Claus Thustrup Kreiner & Emmanuel Saez, 2007. "Welfare reform in European countries: a microsimulation analysis," Economic Journal, Royal Economic Society, vol. 117(516), pages 1-44, January.
    27. Chinhui Juhn & Kevin M. Murphy & Robert H. Topel, 1991. "Why Has the Natural Rate of Unemployment Increased over Time?," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 22(2), pages 75-142.
    28. Martin F. Hellwig, 2010. "Incentive Problems With Unidimensional Hidden Characteristics: A Unified Approach," Econometrica, Econometric Society, vol. 78(4), pages 1201-1237, July.
    29. Martin Hellwig, 2008. "A Maximum Principle for Control Problems with Monotonicity Constraints," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2008_04, Max Planck Institute for Research on Collective Goods.
    30. 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.
    31. Normann Lorenz & Dominik Sachs, 2012. "Optimal Participation Taxes and Efficient Transfer Phase-Out," Working Paper Series of the Department of Economics, University of Konstanz 2012-37, Department of Economics, University of Konstanz.
    32. 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.
    33. Costas Meghir & David Phillips, 2008. "Labour supply and taxes," IFS Working Papers W08/04, Institute for Fiscal Studies.
    34. 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.
    35. 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.
    36. 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.
    37. Diamond, P. A., 1975. "A many-person Ramsey tax rule," Journal of Public Economics, Elsevier, vol. 4(4), pages 335-342, November.
    38. 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.
    39. Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
    40. Thomas Piketty, 1997. "La redistribution fiscale face au chômage," Revue Française d'Économie, Programme National Persée, vol. 12(1), pages 157-201.
    41. Efraim Sadka, 1976. "On Income Distribution, Incentive Effects and Optimal Income Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 43(2), pages 261-267.
    42. 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.
    43. Diamond, P., 1980. "Income taxation with fixed hours of work," Journal of Public Economics, Elsevier, vol. 13(1), pages 101-110, February.
    44. Polachek,Solomon W. & Siebert,W. Stanley, 1993. "The Economics of Earnings," Cambridge Books, Cambridge University Press, number 9780521367288.
    45. Jesus Seade, 1982. "On the Sign of the Optimum Marginal Income Tax," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(4), pages 637-643.
    46. Kevin Roberts, 2000. "A Reconsideration of the Optimal Income Tax," Economics Series Working Papers 6, University of Oxford, Department of Economics.
    Full references (including those not matched with items on IDEAS)

    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 & 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.
    2. Laurence Jacquet & Etienne Lehmann & Bruno Van der Linden, 2012. "Signing Distortions in Optimal Tax and other Adverse Selection Problems with Random Participation," CESifo Working Paper Series 3766, CESifo.
    3. 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.
    4. 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.
    5. Bergstrom, Katy & Dodds, William, 2021. "Optimal taxation with multiple dimensions of heterogeneity," Journal of Public Economics, Elsevier, vol. 200(C).
    6. 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.
    7. Boone, Jan & Bovenberg, Lans, 2004. "The optimal taxation of unskilled labor with job search and social assistance," Journal of Public Economics, Elsevier, vol. 88(11), pages 2227-2258, September.
    8. Mathias Hungerbuhler & Etienne Lehmann & Alexis Parmentier & Bruno Van Der Linden, 2010. "A Simple Theory of Optimal Redistributive Taxation with Equilibrium Unemployment," Working Papers 2010-13, Center for Research in Economics and Statistics.
    9. Laurence Jacquet & Etienne Lehmann, 2015. "Optimal Income Taxation when Skills and Behavioral Elasticities are Heterogeneous," CESifo Working Paper Series 5265, CESifo.
    10. Jacobs, Bas & Jongen, Egbert L.W. & Zoutman, Floris T., 2017. "Revealed social preferences of Dutch political parties," Journal of Public Economics, Elsevier, vol. 156(C), pages 81-100.
    11. Hansen, Emanuel, 2021. "Optimal income taxation with labor supply responses at two margins: When is an Earned Income Tax Credit optimal?," Journal of Public Economics, Elsevier, vol. 195(C).
    12. Bierbrauer Felix J., 2016. "Effizienz oder Gerechtigkeit?," Perspektiven der Wirtschaftspolitik, De Gruyter, vol. 17(1), pages 2-24, April.
    13. Olivier Bargain & Mathias Dolls & Dirk Neumann & Andreas Peichl & Sebastian Siegloch, 2011. "Tax-Benefit Systems in Europe and the US: Between Equity and Efficiency," CESifo Working Paper Series 3534, CESifo.
    14. Normann Lorenz & Dominik Sachs, 2011. "Optimal Nonlinear Taxation, Minimum Hours, and the Earned Income Tax Credit," Research Papers in Economics 2011-11, University of Trier, Department of Economics.
    15. Oztek, Abdullah Selim, 2019. "A Characterization for Marginal Income Tax Schedules," MPRA Paper 103046, University Library of Munich, Germany, revised 02 Dec 2019.
    16. Jacquet, Laurence & Van de Gaer, Dirk, 2011. "A comparison of optimal tax policies when compensation or responsibility matter," Journal of Public Economics, Elsevier, vol. 95(11), pages 1248-1262.
    17. Doligalski, Paweł & Rojas, Luis E., 2023. "Optimal redistribution with a shadow economy," Theoretical Economics, Econometric Society, vol. 18(2), May.
    18. 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.
    19. Simula, Laurent & Trannoy, Alain, 2010. "Optimal income tax under the threat of migration by top-income earners," Journal of Public Economics, Elsevier, vol. 94(1-2), pages 163-173, February.
    20. 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.

    More about this item

    Keywords

    optimal tax formula; tax perturbation; random participation;
    All these keywords.

    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

    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:ces:ceswps:_3308. 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: Klaus Wohlrabe (email available below). General contact details of provider: https://edirc.repec.org/data/cesifde.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.