IDEAS home Printed from https://ideas.repec.org/p/iza/izadps/dp4837.html
   My bibliography  Save this paper

Optimal Redistributive Taxation with Both Extensive and Intensive Responses

Author

Listed:
  • Jacquet, Laurence

    () (Norwegian School of Economics)

  • Lehmann, Etienne

    () (CRED, Université Panthéon Assas Paris 2)

  • Van der Linden, Bruno

    () (IRES, Université catholique de Louvain)

Abstract

This paper characterizes optimal income taxation when individuals respond along both the intensive and extensive margins. Individuals are heterogeneous across two dimensions: specifically, their skill and disutility of participation. Preferences over consumption and work effort can differ with respect to the level of skill, with only the Spence-Mirrlees condition imposed. Employing a tax perturbation approach, we derive an optimal tax formula that generalizes previous results by allowing for income effects and extensive margin responses. We provide a sufficient condition for optimal marginal tax rates to be nonnegative everywhere. We discuss the relevance of this condition with analytical examples and numerical simulations using U.S. data.

Suggested Citation

  • Jacquet, Laurence & Lehmann, Etienne & Van der Linden, Bruno, 2010. "Optimal Redistributive Taxation with Both Extensive and Intensive Responses," IZA Discussion Papers 4837, Institute for the Study of Labor (IZA).
  • Handle: RePEc:iza:izadps:dp4837
    as

    Download full text from publisher

    File URL: http://ftp.iza.org/dp4837.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, pages 1449-1477.
    3. Choné, Philippe & Laroque, Guy, 2011. "Optimal taxation in the extensive model," Journal of Economic Theory, Elsevier, vol. 146(2), pages 425-453, March.
    4. 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.
    5. Rochet, Jean-Charles, 2009. "Monopoly regulation without the Spence-Mirrlees assumption," Journal of Mathematical Economics, Elsevier, vol. 45(9-10), pages 693-700, September.
    6. 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.
    7. Blomquist, Sören & Simula, Laurent, 2010. "Marginal Deadweight Loss when the Income Tax is Nonlinear," Working Paper Series 2010:3, Uppsala University, Department of Economics.
    8. Atkinson, A. B., 1990. "Public economics and the economic public," European Economic Review, Elsevier, vol. 34(2-3), pages 225-248, May.
    9. Chone, Philippe & Laroque, Guy, 2005. "Optimal incentives for labor force participation," Journal of Public Economics, Elsevier, vol. 89(2-3), pages 395-425, February.
    10. Seade, J. K., 1977. "On the shape of optimal tax schedules," Journal of Public Economics, Elsevier, vol. 7(2), pages 203-235, April.
    11. Baron, David P & Myerson, Roger B, 1982. "Regulating a Monopolist with Unknown Costs," Econometrica, Econometric Society, vol. 50(4), pages 911-930, July.
    12. 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, pages 1955-1973.
    13. 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.
    14. 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.
    15. 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.
    16. Emmanuel Saez, 2002. "Optimal Income Transfer Programs: Intensive versus Extensive Labor Supply Responses," The Quarterly Journal of Economics, Oxford University Press, vol. 117(3), pages 1039-1073.
    17. Diamond, P. A., 1975. "A many-person Ramsey tax rule," Journal of Public Economics, Elsevier, vol. 4(4), pages 335-342, November.
    18. Martin F. Hellwig, 2010. "Incentive Problems With Unidimensional Hidden Characteristics: A Unified Approach," Econometrica, Econometric Society, vol. 78(4), pages 1201-1237, July.
    19. Jean-Charles Rochet & Lars A. Stole, 2002. "Nonlinear Pricing with Random Participation," Review of Economic Studies, Oxford University Press, vol. 69(1), pages 277-311.
    20. Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
    21. Boone, Jan & Bovenberg, Lans, 2004. "The optimal taxation of unskilled labor with job search and social assistance," Journal of Public Economics, Elsevier, pages 2227-2258.
    22. Thomas Piketty, 1997. "La redistribution fiscale face au chômage," Revue Française d'Économie, Programme National Persée, vol. 12(1), pages 157-201.
    23. Diamond, P., 1980. "Income taxation with fixed hours of work," Journal of Public Economics, Elsevier, vol. 13(1), pages 101-110, February.
    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. Polachek,Solomon W. & Siebert,W. Stanley, 1993. "The Economics of Earnings," Cambridge Books, Cambridge University Press, number 9780521367288, March.
    26. Jesus Seade, 1982. "On the Sign of the Optimum Marginal Income Tax," Review of Economic Studies, Oxford University Press, vol. 49(4), pages 637-643.
    27. 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.
    28. Sandmo, Agnar, 1998. "Redistribution and the marginal cost of public funds," Journal of Public Economics, Elsevier, vol. 70(3), pages 365-382, December.
    29. 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.
    30. 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, pages 3-50.
    31. Bas Jacobs, 2010. "The Marginal Cost of Public Funds is One," CESifo Working Paper Series 3250, CESifo Group Munich.
    32. Vidar Christiansen, 1981. "Evaluation of Public Projects under Optimal Taxation," Review of Economic Studies, Oxford University Press, vol. 48(3), pages 447-457.
    33. J. A. Mirrlees, 1971. "An Exploration in the Theory of Optimum Income Taxation," Review of Economic Studies, Oxford University Press, vol. 38(2), pages 175-208.
    34. Eric Maskin & John Riley, 1984. "Monopoly with Incomplete Information," RAND Journal of Economics, The RAND Corporation, vol. 15(2), pages 171-196, Summer.
    35. 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.
    36. 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.
    37. Peter J. Hammond, 1979. "Straightforward Individual Incentive Compatibility in Large Economies," Review of Economic Studies, Oxford University Press, vol. 46(2), pages 263-282.
    38. Emmanuel Saez, 2001. "Using Elasticities to Derive Optimal Income Tax Rates," Review of Economic Studies, Oxford University Press, vol. 68(1), pages 205-229.
    39. 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.
    40. Efraim Sadka, 1976. "On Income Distribution, Incentive Effects and Optimal Income Taxation," Review of Economic Studies, Oxford University Press, vol. 43(2), pages 261-267.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    optimal tax formula; tax perturbation; random participation;

    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

    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:iza:izadps:dp4837. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Mark Fallak). General contact details of provider: http://www.iza.org .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.