IDEAS home Printed from https://ideas.repec.org/p/ces/ceswps/_3324.html
   My bibliography  Save this paper

Optimal Income Taxation with Endogenous Participation and Search Unemployment

Author

Listed:
  • Etienne Lehmann
  • Alexis Parmentier
  • Bruno Van der Linden

Abstract

We characterize optimal redistributive taxation when individuals are heterogeneous in their skills and their values of non-market activities. Search-matching frictions on the labor markets create unemployment. Wages, labor demand and participation are endogenous. Average tax rates are increasing at the optimum. This shifts wages below their laissez faire value and distorts labor demand upwards. The marginal tax rate is positive at the top of the skill distribution even when the latter is bounded. These results are analytically shown under a Maximin objective when the elasticity of participation is decreasing in the skill level and are numerically confirmed under a more general objective.

Suggested Citation

  • Etienne Lehmann & Alexis Parmentier & Bruno Van der Linden, 2011. "Optimal Income Taxation with Endogenous Participation and Search Unemployment," CESifo Working Paper Series 3324, CESifo.
    • Handle: RePEc:ces:ceswps:_3324
    as

    Download full text from publisher

    File URL: https://www.cesifo.org/DocDL/cesifo1_wp3324.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Pisauro, Giuseppe, 1991. "The effect of taxes on labour in efficiency wage models," Journal of Public Economics, Elsevier, vol. 46(3), pages 329-345, December.
    2. Choné, Philippe & Laroque, Guy, 2011. "Optimal taxation in the extensive model," Journal of Economic Theory, Elsevier, vol. 146(2), pages 425-453, March.
    3. Christopher A. Pissarides & Barbara Petrongolo, 2001. "Looking into the Black Box: A Survey of the Matching Function," Journal of Economic Literature, American Economic Association, vol. 39(2), pages 390-431, June.
    4. Blomquist, Sören & Selin, Håkan, 2010. "Hourly wage rate and taxable labor income responsiveness to changes in marginal tax rates," Journal of Public Economics, Elsevier, vol. 94(11-12), pages 878-889, December.
    5. 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.
    6. Chone, Philippe & Laroque, Guy, 2005. "Optimal incentives for labor force participation," Journal of Public Economics, Elsevier, vol. 89(2-3), pages 395-425, February.
    7. 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.
    8. Seade, J. K., 1977. "On the shape of optimal tax schedules," Journal of Public Economics, Elsevier, vol. 7(2), pages 203-235, April.
    9. Knut Røed & Steinar Strøm, 2002. "Progressive Taxes and the Labour Market: Is the Trade–off Between Equality and Efficiency Inevitable?," Journal of Economic Surveys, Wiley Blackwell, vol. 16(1), pages 77-110, February.
    10. 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.
    11. Jon Strand, 2002. "Effects of Progressive Taxes under Decentralized Bargaining and Heterogeneous Labor," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 9(2), pages 195-210, March.
    12. Blundell, Richard & Macurdy, Thomas, 1999. "Labor supply: A review of alternative approaches," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 3, chapter 27, pages 1559-1695, Elsevier.
    13. Alan B. Krueger & Andreas I. Mueller, 2012. "The Lot Of The Unemployed: A Time Use Perspective," Journal of the European Economic Association, European Economic Association, vol. 10(4), pages 765-794, August.
    14. 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.
    15. repec:ebl:ecbull:v:8:y:2006:i:2:p:1-6 is not listed on IDEAS
    16. Thomas Piketty, 1997. "La redistribution fiscale face au chômage," Revue Française d'Économie, Programme National Persée, vol. 12(1), pages 157-201.
    17. Diamond, P., 1980. "Income taxation with fixed hours of work," Journal of Public Economics, Elsevier, vol. 13(1), pages 101-110, February.
    18. Alexis PARMENTIER & Etienne LEHMANN & Jean HINDRIKS, 2006. "Optimal income taxation and the shape of average tax rates," Economics Bulletin, AccessEcon, vol. 8(2), pages 1-6.
    19. Boone, Jan & Bovenberg, Lans, 2006. "Optimal welfare and in-work benefits with search unemployment and observable abilities," Journal of Economic Theory, Elsevier, vol. 126(1), pages 165-193, January.
    20. Christopher A. Pissarides, 2000. "Equilibrium Unemployment Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262161877, April.
    21. 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.
    22. 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.
    23. Boadway, Robin & Cuff, Katherine & Marceau, Nicolas, 2003. "Redistribution and employment policies with endogenous unemployment," Journal of Public Economics, Elsevier, vol. 87(11), pages 2407-2430, October.
    24. Mikhail Golosov & Narayana Kocherlakota & Aleh Tsyvinski, 2003. "Optimal Indirect and Capital Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 70(3), pages 569-587.
    25. Ben Lockwood & Alan Manning, 1993. "Wage Setting and the Tax System: theory and Evidence for the UK," CEP Discussion Papers dp0115, Centre for Economic Performance, LSE.
    26. Mathias Hungerbühler & Etienne Lehmann & Alexis Parmentier & Bruno Van Der Linden, 2006. "Optimal Redistributive Taxation in a Search Equilibrium Model," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(3), pages 743-767.
    27. Boone, Jan & Bovenberg, Lans, 2002. "Optimal labour taxation and search," Journal of Public Economics, Elsevier, vol. 85(1), pages 53-97, July.
    28. 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.
    29. 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.
    30. 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.
    31. Lockwood, Ben & Manning, Alan, 1993. "Wage setting and the tax system theory and evidence for the United Kingdom," Journal of Public Economics, Elsevier, vol. 52(1), pages 1-29, August.
    32. Arthur J. Hosios, 1990. "On The Efficiency of Matching and Related Models of Search and Unemployment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(2), pages 279-298.
    33. Moen, Espen R, 1997. "Competitive Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 385-411, April.
    34. repec:pri:indrel:dsp01w37636771 is not listed on IDEAS
    35. repec:cor:louvrp:-1860 is not listed on IDEAS
    36. Gruber, Jon & Saez, Emmanuel, 2002. "The elasticity of taxable income: evidence and implications," Journal of Public Economics, Elsevier, vol. 84(1), pages 1-32, April.
    37. Guesnerie,Roger, 1998. "A Contribution to the Pure Theory of Taxation," Cambridge Books, Cambridge University Press, number 9780521629560, September.
    38. Pissarides, Christopher A., 1998. "The impact of employment tax cuts on unemployment and wages; The role of unemployment benefits and tax structure," European Economic Review, Elsevier, vol. 42(1), pages 155-183, January.
    39. 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.
    40. Hungerbühler, Mathias & Lehmann, Etienne, 2009. "On the optimality of a minimum wage: New insights from optimal tax theory," Journal of Public Economics, Elsevier, vol. 93(3-4), pages 464-481, April.
    41. 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.
    42. Peter A. Diamond, 1982. "Wage Determination and Efficiency in Search Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(2), pages 217-227.
    43. 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.
    44. Meghir, Costas & Phillips, David, 2008. "Labour Supply and Taxes," IZA Discussion Papers 3405, Institute of Labor Economics (IZA).
    45. Hersoug, Tor, 1984. "Union Wage Responses to Tax Changes," Oxford Economic Papers, Oxford University Press, vol. 36(1), pages 37-51, March.
    46. Mortensen, Dale T. & Pissarides, Christopher A., 1999. "New developments in models of search in the labor market," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 3, chapter 39, pages 2567-2627, Elsevier.
    47. Mirrlees, J. A., 1976. "Optimal tax theory : A synthesis," Journal of Public Economics, Elsevier, vol. 6(4), pages 327-358, November.
    48. 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.
    49. Manning, Alan, 1993. "Wage Bargaining and the Phillips Curve: The Identification and Specification of Aggregate Wage Equations," Economic Journal, Royal Economic Society, vol. 103(416), pages 98-118, January.
    50. 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.
    51. 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.
    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. Albert Jan Hummel, 2021. "Unemployment and tax design," Tinbergen Institute Discussion Papers 21-061/VI, Tinbergen Institute.
    2. Albert Jan Hummel, 2021. "Unemployment and Tax Design," CESifo Working Paper Series 9177, CESifo.
    3. 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.
    4. 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.
    5. Mathias Hungerbühler & Etienne Lehmann & Alexis Parmentier & Bruno Van Der Linden, 2006. "Optimal Redistributive Taxation in a Search Equilibrium Model," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(3), pages 743-767.
    6. Kory Kroft & Kavan Kucko & Etienne Lehmann & Johannes Schmieder, 2020. "Optimal Income Taxation with Unemployment and Wage Responses: A Sufficient Statistics Approach," American Economic Journal: Economic Policy, American Economic Association, vol. 12(1), pages 254-292, February.
    7. 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.
    8. Jacquet, Laurence & Lehmann, Etienne & Van der Linden, Bruno, 2011. "Optimal Redistributive Taxation with Both Labor Supply and Labor Demand Responses," IZA Discussion Papers 5642, Institute of Labor Economics (IZA).
    9. 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.
    10. Etienne Lehmann & Claudio Lucifora & Simone Moriconi & Bruno Van der Linden, 2016. "Beyond the labour income tax wedge: the unemployment-reducing effect of tax progressivity," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 23(3), pages 454-489, June.
    11. Brigitte Baalen & Tobias Müller, 2014. "Social welfare effects of tax-benefit reform under endogenous participation and unemployment: an ordinal approach," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 21(2), pages 198-227, April.
    12. Laurence Jacquet & Etienne Lehmann & Bruno Linden, 2014. "Optimal income taxation with Kalai wage bargaining and endogenous participation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(2), pages 381-402, February.
    13. 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.
    14. 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.
    15. Lavecchia, Adam M., 2020. "Minimum wage policy with optimal taxes and unemployment," Journal of Public Economics, Elsevier, vol. 190(C).
    16. Boadway,Robin & Cuff,Katherine, 2022. "Tax Policy," Cambridge Books, Cambridge University Press, number 9781108949453, September.
    17. Hummel, Albert Jan & Jacobs, Bas, 2023. "Optimal income taxation in unionized labor markets," Journal of Public Economics, Elsevier, vol. 220(C).
    18. Robin Boadway, 2011. "Viewpoint: Innovations in the theory and practice of redistribution policy," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 44(4), pages 1138-1183, November.
    19. Kavan Kucko & Johannes Schmieder & Etienne Lehmann & Kory Kroft, 2015. "Optimal Income Taxation under Unemployment: A Sufficient Statistics Approach," 2015 Meeting Papers 680, Society for Economic Dynamics.
    20. Bergstrom, Katy & Dodds, William, 2021. "Optimal taxation with multiple dimensions of heterogeneity," Journal of Public Economics, Elsevier, vol. 200(C).

    More about this item

    Keywords

    non-linear taxation; redistribution; adverse selection; random participation; unemployment; labor market frictions;
    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
    • J64 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Unemployment: Models, Duration, Incidence, and Job Search

    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:_3324. 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.