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Unemployment and tax design

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  • Albert Jan Hummel

    (University of Amsterdam)

Abstract

This paper studies optimal income taxation in an environment where matching frictions generate a trade-off for workers between high wages and low unemployment risk. A higher marginal tax rate shifts the trade-off in favor of low unemployment risk, whereas a higher tax burden or unemployment benefit has the opposite effect. Changes in unemployment generate fiscal externalities, which modify optimal tax formulas. I show that optimal employment subsidies (such as the EITC) phase in with income and that the provision of unemployment insurance justifies a positive marginal tax rate even without income heterogeneity. A calibration exercise to the US economy suggests that optimal transfers for low-income individuals are larger if unemployment risk is taken into account.

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  • Albert Jan Hummel, 2021. "Unemployment and tax design," Tinbergen Institute Discussion Papers 21-061/VI, Tinbergen Institute.
  • Handle: RePEc:tin:wpaper:20210061
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    References listed on IDEAS

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    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. 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.
    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. Fredriksson, Peter & Holmlund, Bertil, 2001. "Optimal Unemployment Insurance in Search Equilibrium," Journal of Labor Economics, University of Chicago Press, vol. 19(2), pages 370-399, April.
    5. Daron Acemoglu & Robert Shimer, 1999. "Efficient Unemployment Insurance," Journal of Political Economy, University of Chicago Press, vol. 107(5), pages 893-928, October.
    6. 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.
    7. Blanchard, Olivier & Wolfers, Justin, 2000. "The Role of Shocks and Institutions in the Rise of European Unemployment: The Aggregate Evidence," Economic Journal, Royal Economic Society, vol. 110(462), pages 1-33, March.
    8. 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.
    9. David Card & Andrew Johnston & Pauline Leung & Alexandre Mas & Zhuan Pei, 2015. "The Effect of Unemployment Benefits on the Duration of Unemployment Insurance Receipt: New Evidence from a Regression Kink Design in Missouri, 2003-2013," American Economic Review, American Economic Association, vol. 105(5), pages 126-130, May.
    10. 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.
    11. Seade, J. K., 1977. "On the shape of optimal tax schedules," Journal of Public Economics, Elsevier, vol. 7(2), pages 203-235, 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. Saez, Emmanuel & Stantcheva, Stefanie, 2018. "A simpler theory of optimal capital taxation," Journal of Public Economics, Elsevier, vol. 162(C), pages 120-142.
    14. 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.
    15. Raj Chetty, 2012. "Bounds on Elasticities With Optimization Frictions: A Synthesis of Micro and Macro Evidence on Labor Supply," Econometrica, Econometric Society, vol. 80(3), pages 969-1018, May.
    16. 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.
    17. Raj Chetty, 2009. "Sufficient Statistics for Welfare Analysis: A Bridge Between Structural and Reduced-Form Methods," Annual Review of Economics, Annual Reviews, vol. 1(1), pages 451-488, May.
    18. Robin Boadway & Katherine Cuff, 1999. "Monitoring Job Search as an Instrument For Targeting Transfers," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 6(3), pages 317-337, August.
    19. 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.
    20. 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.
    21. Holmlund, B. & Kolm, A.S., 1995. "Progressive Taxation, Wage Setting and Unemployment - Theory and Swedish Evidence," Papers 15, Uppsala - Working Paper Series.
    22. Diamond, P., 1980. "Income taxation with fixed hours of work," Journal of Public Economics, Elsevier, vol. 13(1), pages 101-110, February.
    23. 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.
    24. Mikhail Golosov & Aleh Tsyvinski & Nicolas Werquin, 2014. "A Variational Approach to the Analysis of Tax Systems," NBER Working Papers 20780, National Bureau of Economic Research, Inc.
    25. Pia Rattenhuber, 2012. "Marginal Taxes: A Good or a Bad for Wages?: The Incidence of the Structure of Income and Labor Taxes on Wages," Discussion Papers of DIW Berlin 1193, DIW Berlin, German Institute for Economic Research.
    26. 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.
    27. 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.
    28. 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.
    29. Pierre M. Picard & Eric Toulemonde, 2003. "Taxation and Labor Markets," Journal of Economics, Springer, vol. 78(1), pages 29-56, January.
    30. Raj Chetty & Adam Guren & Day Manoli & Andrea Weber, 2011. "Are Micro and Macro Labor Supply Elasticities Consistent? A Review of Evidence on the Intensive and Extensive Margins," American Economic Review, American Economic Association, vol. 101(3), pages 471-475, May.
    31. Koskela, Erkki & Vilmunen, Jouko, 1996. "Tax progression is good for employment in popular models of trade union behaviour," Labour Economics, Elsevier, vol. 3(1), pages 65-80, August.
    32. 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.
    33. 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.
    34. Chetty, Raj, 2006. "A general formula for the optimal level of social insurance," Journal of Public Economics, Elsevier, vol. 90(10-11), pages 1879-1901, November.
    35. Francesco Daveri & Guido Tabellini, 2000. "Unemployment, growth and taxation in industrial countries," Economic Policy, CEPR, CESifo, Sciences Po;CES;MSH, vol. 15(30), pages 48-104.
    36. 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.
    37. 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.
    38. 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.
    39. Rachel Griffith & Rupert Harrison & Gareth Macartney, 2007. "Product Market Reforms, Labour Market Institutions and Unemployment," Economic Journal, Royal Economic Society, vol. 117(519), pages 142-166, March.
    40. Christopher A. Pissarides, 1985. "Taxes, Subsidies and Equilibrium Unemployment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(1), pages 121-133.
    41. Aart Gerritsen, 2016. "Optimal Nonlinear Taxation: The Dual Approach," Working Papers tax-mpg-rps-2016-02, Max Planck Institute for Tax Law and Public Finance.
    42. Hopenhayn, Hugo A & Nicolini, Juan Pablo, 1997. "Optimal Unemployment Insurance," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 412-438, April.
    43. Mikhail Golosov & Pricila Maziero & Guido Menzio, 2013. "Taxation and Redistribution of Residual Income Inequality," Journal of Political Economy, University of Chicago Press, vol. 121(6), pages 1160-1204.
    44. 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.
    45. Moen, Espen R, 1997. "Competitive Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 385-411, April.
    46. Albert Jan Hummel & Bas Jacobs, 2018. "Optimal Income Taxation in Unionized Labor Markets," Tinbergen Institute Discussion Papers 18-064/VI, Tinbergen Institute.
    47. Raj Chetty, 2008. "Erratum: Moral Hazard versus Liquidity and Optimal Unemployment Insurance," Journal of Political Economy, University of Chicago Press, vol. 116(6), pages 1197-1197, December.
    48. Meyer, Bruce D, 1990. "Unemployment Insurance and Unemployment Spells," Econometrica, Econometric Society, vol. 58(4), pages 757-782, July.
    49. 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.
    50. 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).
    51. Laurence Jacquet & Etienne Lehmann, 0. "Optimal Income Taxation with Composition Effects," Journal of the European Economic Association, European Economic Association, vol. 19(2), pages 1299-1341.
    52. Shavell, Steven & Weiss, Laurence, 1979. "The Optimal Payment of Unemployment Insurance Benefits over Time," Journal of Political Economy, University of Chicago Press, vol. 87(6), pages 1347-1362, December.
    53. 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.
    54. Hakki Yazici & Christopher Sleet, 2017. "Taxation, Redistribution and Frictional Labor Supply," 2017 Meeting Papers 298, Society for Economic Dynamics.
    55. Baily, Martin Neil, 1978. "Some aspects of optimal unemployment insurance," Journal of Public Economics, Elsevier, vol. 10(3), pages 379-402, December.
    56. Andrea Bassanini & Romain Duval, 2009. "Unemployment, institutions, and reform complementarities: re-assessing the aggregate evidence for OECD countries," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 25(1), pages 40-59, Spring.
    57. 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.
    58. 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.
    59. Burdett, Kenneth & Mortensen, Dale T, 1998. "Wage Differentials, Employer Size, and Unemployment," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(2), pages 257-273, May.
    60. Hersoug, Tor, 1984. "Union Wage Responses to Tax Changes," Oxford Economic Papers, Oxford University Press, vol. 36(1), pages 37-51, March.
    61. 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.
    62. Flemming, J. S., 1978. "Aspects of optimal unemployment insurance : Search, leisure, savings and capital market imperfections," Journal of Public Economics, Elsevier, vol. 10(3), pages 403-425, December.
    63. Schneider, Kerstin, 2005. "Union wage setting and progressive income taxation with heterogeneous labor: theory and evidence from the German income tax reforms 1986-1990," Labour Economics, Elsevier, vol. 12(2), pages 205-222, April.
    64. 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.
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    Cited by:

    1. Ferey, Antoine, 2022. "Redistribution and Unemployment Insurance," Rationality and Competition Discussion Paper Series 345, CRC TRR 190 Rationality and Competition.
    2. da Costa, Carlos E. & Maestri, Lucas J. & Santos, Marcelo R., 2022. "Redistribution with labor market frictions," Journal of Economic Theory, Elsevier, vol. 201(C).
    3. Hummel, Albert Jan & Jacobs, Bas, 2023. "Optimal income taxation in unionized labor markets," Journal of Public Economics, Elsevier, vol. 220(C).

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    More about this item

    Keywords

    directed search; optimal taxation; unemployment insurance;
    All these keywords.

    JEL classification:

    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • J64 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Unemployment: Models, Duration, Incidence, and Job Search
    • J65 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Unemployment Insurance; Severance Pay; Plant Closings
    • J68 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Public Policy

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