IDEAS home Printed from https://ideas.repec.org/p/crs/wpaper/2009-01.html
   My bibliography  Save this paper

Optimal Income Taxation with Endogenous Participation and Search Unemployment

Author

Listed:
  • Etienne LEHMANN

    (Crest)

  • Alexis PARMENTIER

    (Crest)

  • Bruno VAN DER LINDEN

    (Crest)

Abstract

We characterize optimal redistributive taxation when individuals are heterogeneous in their skillsand their values of non-market activities. Search-matching frictions on the labor markets createunemployment. Wages, labor demand and participation are endogenous. The government onlyobserves wage levels. Under a Maximin objective, if the elasticity of participation decreasesalong the distribution of skills at the optimum, the average tax rate is increasing, marginaltax rates are positive everywhere, while wages, unemployment rates and participation rates aredistorted downwards compared to their laissez-faire values. Under a general utilitarian objective,numerical simulations suggest that the downward distortions of wages and unemploymentremain. However, the optimal policy then induces upward distortions of participation.

Suggested Citation

  • Etienne LEHMANN & Alexis PARMENTIER & Bruno VAN DER LINDEN, 2009. "Optimal Income Taxation with Endogenous Participation and Search Unemployment," Working Papers 2009-01, Center for Research in Economics and Statistics.
  • Handle: RePEc:crs:wpaper:2009-01
    as

    Download full text from publisher

    File URL: http://crest.science/RePEc/wpstorage/2009-01.pdf
    File Function: Crest working paper version
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Christopher A. Pissarides, 2000. "Equilibrium Unemployment Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262161877, September.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. Choné, Philippe & Laroque, Guy, 2011. "Optimal taxation in the extensive model," Journal of Economic Theory, Elsevier, vol. 146(2), pages 425-453, 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. 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.
    10. Hersoug, Tor, 1984. "Union Wage Responses to Tax Changes," Oxford Economic Papers, Oxford University Press, vol. 36(1), pages 37-51, March.
    11. Mikhail Golosov & Narayana Kocherlakota & Aleh Tsyvinski, 2003. "Optimal Indirect and Capital Taxation," Review of Economic Studies, Oxford University Press, vol. 70(3), pages 569-587.
    12. 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.
    13. Mirrlees, J. A., 1976. "Optimal tax theory : A synthesis," Journal of Public Economics, Elsevier, vol. 6(4), pages 327-358, November.
    14. 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.
    15. Mathias Hungerbühler & Etienne Lehmann & Alexis Parmentier & Bruno Van Der Linden, 2006. "Optimal Redistributive Taxation in a Search Equilibrium Model," Review of Economic Studies, Oxford University Press, vol. 73(3), pages 743-767.
    16. 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.
    17. Guesnerie,Roger, 1998. "A Contribution to the Pure Theory of Taxation," Cambridge Books, Cambridge University Press, number 9780521629560, December.
    18. 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.
    19. 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.
    20. 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.
    21. 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.
    22. 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.
    23. Boone, Jan & Bovenberg, Lans, 2002. "Optimal labour taxation and search," Journal of Public Economics, Elsevier, vol. 85(1), pages 53-97, July.
    24. Chone, Philippe & Laroque, Guy, 2005. "Optimal incentives for labor force participation," Journal of Public Economics, Elsevier, vol. 89(2-3), pages 395-425, February.
    25. Seade, J. K., 1977. "On the shape of optimal tax schedules," Journal of Public Economics, Elsevier, vol. 7(2), pages 203-235, April.
    26. 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.
    27. 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.
    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. 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.
    30. Peter J. Hammond, 1979. "Straightforward Individual Incentive Compatibility in Large Economies," Review of Economic Studies, Oxford University Press, vol. 46(2), pages 263-282.
    31. Moen, Espen R, 1997. "Competitive Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 385-411, April.
    32. 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.
    33. Emmanuel Saez, 2001. "Using Elasticities to Derive Optimal Income Tax Rates," Review of Economic Studies, Oxford University Press, vol. 68(1), pages 205-229.
    34. 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.
    35. Costas Meghir & David Phillips, 2008. "Labour supply and taxes," IFS Working Papers W08/04, Institute for Fiscal Studies.
    36. 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.
    37. 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.
    38. 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.
    39. 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.
    40. repec:oup:ecpoli:v:12:y:1997:i:25:p:221-264 is not listed on IDEAS
    41. 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.
    42. 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.
    43. repec:ebl:ecbull:v:8:y:2006:i:2:p:1-6 is not listed on IDEAS
    44. Thomas Piketty, 1997. "La redistribution fiscale face au chômage," Revue Française d'Économie, Programme National Persée, vol. 12(1), pages 157-201.
    45. 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.
    46. Arthur J. Hosios, 1990. "On The Efficiency of Matching and Related Models of Search and Unemployment," Review of Economic Studies, Oxford University Press, vol. 57(2), pages 279-298.
    47. Peter A. Diamond, 1982. "Wage Determination and Efficiency in Search Equilibrium," Review of Economic Studies, Oxford University Press, vol. 49(2), pages 217-227.
    48. Diamond, P., 1980. "Income taxation with fixed hours of work," Journal of Public Economics, Elsevier, vol. 13(1), pages 101-110, February.
    49. 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.
    50. repec:pri:indrel:dsp01w37636771 is not listed on IDEAS
    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. Hungerbühler, Mathias & Lehmann, Etienne & Parmentier, Alexis & Van der Linden, Bruno, 2010. "A Simple Theory of Optimal Redistributive Taxation with Equilibrium Unemployment," IZA Discussion Papers 4832, Institute of Labor Economics (IZA).
    2. Aronsson, Thomas & Micheletto, Luca, 2017. "Optimal Redistributive Income Taxation and Efficiency Wages," Umeå Economic Studies 953, Umeå University, Department of Economics.
    3. Frédéric Gavrel, 2015. "Participation, Recruitment Selection, and the Minimum Wage," Scandinavian Journal of Economics, Wiley Blackwell, vol. 117(4), pages 1281-1305, October.
    4. 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.
    5. Alessandro Petretto, 2014. "On the Theoretical Background of Cosciani’s Tax Reform," ECONOMIA PUBBLICA, FrancoAngeli Editore, vol. 2014(3), pages 59-79.
    6. 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).
    7. Lavecchia, Adam M., 2020. "Minimum wage policy with optimal taxes and unemployment," Journal of Public Economics, Elsevier, vol. 190(C).
    8. Thomas Aronsson & Luca Micheletto, 2017. "Optimal Redistributive Income Taxation and Efficiency Wages," Working Papers 107, "Carlo F. Dondena" Centre for Research on Social Dynamics (DONDENA), Università Commerciale Luigi Bocconi.
    9. 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.
    10. Lawson, Nicholas, 2019. "Taxing the job creators: Efficient taxation with bargaining in hierarchical firms," Labour Economics, Elsevier, vol. 56(C), pages 1-25.
    11. Yılmaz Ensar, 2016. "Market Imperfections and Income Distribution," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 16(2), pages 1147-1167, April.
    12. Nicholas Lawson, 2014. "Taxing the Job Creators: Effcient Progressive Taxation with Wage Bargaining," Working Papers halshs-01059604, HAL.
    13. 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.
    14. Watanabe, Minoru & Miyake, Yusuke & Yasuoka, Masaya, 2018. "Unemployment, Income Growth and Social Security," MPRA Paper 86155, University Library of Munich, Germany.
    15. Robin Boadway & Katherine Cuff, 2018. "Optimal unemployment insurance and redistribution," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 20(3), pages 303-324, June.
    16. Robin Boadway, 2012. "Recent Advances in Optimal Income Taxation," Hacienda Pública Española / Review of Public Economics, IEF, vol. 200(1), pages 15-39, March.
    17. 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.
    18. Adegbite, Tajudeen Adejare, 2017. "Personal Income Tax and Government Revenue: Evidence from Oyo State," International Journal of Social and Administrative Sciences, Asian Economic and Social Society, vol. 2(2), pages 45-51, December.
    19. Regev Eitan & Strawczynski Michel, 2020. "The Optimal Earned Income Tax Credit (EITC) Schedule: A Trapezoid or a Triangle?," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 20(3), pages 1-16, July.
    20. Makoto Masui, 2020. "Efficiency in a search and matching model with endogenous labor participation and different skill groups," Economics Bulletin, AccessEcon, vol. 40(4), pages 2648-2653.
    21. Brendan Epstein & Ryan Nunn & Musa Orak & Elena Patel, 2020. "Taxation, Social Welfare, and Labor Market Frictions," International Finance Discussion Papers 1284, Board of Governors of the Federal Reserve System (U.S.).
    22. Guillaume Willeme, . "Optimal Taxation to Correct Job Mismatching," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics.

    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. 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.
    2. Mathias Hungerbühler & Etienne Lehmann & Alexis Parmentier & Bruno Van Der Linden, 2006. "Optimal Redistributive Taxation in a Search Equilibrium Model," Review of Economic Studies, Oxford University Press, vol. 73(3), pages 743-767.
    3. 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.
    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. Bruno Jacquet & Etienne Lehmann & Bruno Van der Linden, 2011. "Optimal Redistributive Taxation with both Labor Supply and Labor Demand Responses," Working Papers 2011-15, Center for Research in Economics and Statistics.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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).
    11. 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.
    12. Laurence JACQUET & Etienne LEHMANN & Bruno VAN DER LINDEN, 2012. "Signing distortions in optimal tax and other adverse selection problems with random participation," LIDAM Discussion Papers IRES 2012003, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    13. Laurence JACQUET & Etienne LEHMANN & Bruno VAN DER LINDEN, 2012. "Signing distortions in optimal tax and other adverse selection problems with random participation," LIDAM Discussion Papers IRES 2012003, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    14. Alexis, PARMENTIER, 2006. "The effects of the marginal tax rate in a matching model with endogenous labor supply," Discussion Papers (ECON - Département des Sciences Economiques) 2006011, Université catholique de Louvain, Département des Sciences Economiques.
    15. 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.
    16. Lavecchia, Adam M., 2020. "Minimum wage policy with optimal taxes and unemployment," Journal of Public Economics, Elsevier, vol. 190(C).
    17. 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.
    18. Louis Kaplow, 2007. "Optimal income transfers," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 14(3), pages 295-325, June.
    19. 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.
    20. 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.

    More about this item

    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:crs:wpaper:2009-01. 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: (Secretariat General). General contact details of provider: http://edirc.repec.org/data/crestfr.html .

    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.