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Tax Me If You Can! Optimal Nonlinear Income Tax between Competing Governments

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  • LEHMANN, Etienne

    (CRED (TEPP), Universit´e Panth´eon-Assas & CREST)

  • Simula, Laurent

    (Uppsala Center for Fiscal Studies)

  • TRANNOY, Alain

    (Aix-Marseille Universit´e (Aix-Marseille School of Economics), CNRS & EHESS)

Abstract

We investigate how the optimal nonlinear income tax schedule is modified when taxpayers can evade taxation by emigrating. We consider two symmetric countries with Maximin governments. Workers choose their labor supply along the intensive margin. The skill distribution is continuous, and, for each skill level, the distribution of migration cost is also continuous. We show that optimal marginal tax rates are nonnegative at the symmetric Nash equilibrium when the semi-elasticity of migration is decreasing in the skill level. When the semi-elasticity of migration is increasing in the skill level, either optimal marginal tax rates are positive everywhere or they are positive for the lower part of the skill distribution and then negative. Numerical simulations are calibrated using plausible values of the semi-elasticity of migration for top income earners. We show that the shape of optimal tax schedule varies significantly, depending on the profile of the semi-elasticity of migration over the entire skill distribution - a profile over which we lack empirical evidence.

Suggested Citation

  • LEHMANN, Etienne & Simula, Laurent & TRANNOY, Alain, 2013. "Tax Me If You Can! Optimal Nonlinear Income Tax between Competing Governments," Working Paper Series, Center for Fiscal Studies 2013:8, Uppsala University, Department of Economics.
  • Handle: RePEc:hhs:uufswp:2013_008
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    1. Charles M. Tiebout, 1956. "A Pure Theory of Local Expenditures," Journal of Political Economy, University of Chicago Press, vol. 64, pages 416-416.
    2. Tomer Blumkin & Efraim Sadka & Yotam Shem-Tov, 2012. "International Tax Competition: Zero Tax Rate at the Top Re-established," CESifo Working Paper Series 3820, CESifo.
    3. 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.
    4. Juan Carlos Suárez Serrato & Owen Zidar, 2016. "Who Benefits from State Corporate Tax Cuts? A Local Labor Markets Approach with Heterogeneous Firms," American Economic Review, American Economic Association, vol. 106(9), pages 2582-2624, September.
    5. 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.
    6. Blackorby,Charles & Bossert,Walter & Donaldson,David J., 2005. "Population Issues in Social Choice Theory, Welfare Economics, and Ethics," Cambridge Books, Cambridge University Press, number 9780521532587.
    7. Bierbrauer, Felix & Brett, Craig & Weymark, John A., 2013. "Strategic nonlinear income tax competition with perfect labor mobility," Games and Economic Behavior, Elsevier, vol. 82(C), pages 292-311.
    8. 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.
    9. Leite-Monteiro, Manuel, 1997. "Redistributive policy with labour mobility across countries," Journal of Public Economics, Elsevier, vol. 65(2), pages 229-244, August.
    10. Gwenael Piaser, 2003. "Labor Mobility and Income Tax Competition," Public Economics 0302002, University Library of Munich, Germany.
    11. Casey Rothschild & Florian Scheuer, 2013. "Redistributive Taxation in the Roy Model," The Quarterly Journal of Economics, Oxford University Press, vol. 128(2), pages 623-668.
    12. Vilen Lipatov & Alfons J. Weichenrieder & Alfons Weichenrieder, 2010. "Optimal Income Taxation with Tax Competition," CESifo Working Paper Series 3108, CESifo.
    13. Thomas Piketty & Emmanuel Saez, 2012. "Optimal Labor Income Taxation," NBER Working Papers 18521, National Bureau of Economic Research, Inc.
    14. Thomas Liebig & Patrick A. Puhani & Alfonso Sousa‐Poza, 2007. "Taxation And Internal Migration—Evidence From The Swiss Census Using Community‐Level Variation In Income Tax Rates," Journal of Regional Science, Wiley Blackwell, vol. 47(4), pages 807-836, October.
    15. Barro, Robert J & Sala-i-Martin, Xavier, 1992. "Convergence," Journal of Political Economy, University of Chicago Press, vol. 100(2), pages 223-251, April.
      • Barro, R.J. & Sala-I-Martin, X., 1991. "Convergence," Papers 645, Yale - Economic Growth Center.
      • Barro, Robert J. & Sala-i-Martin, Xavier, 1992. "Convergence," Scholarly Articles 3451299, Harvard University Department of Economics.
    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. Keen, Michael & Konrad, Kai A., . "The theory of international tax competition and coordination," Chapters in Economics,, University of Munich, Department of Economics.
    18. Larry A. Sjaastad, 1970. "The Costs and Returns of Human Migration," Palgrave Macmillan Books, in: Harry W. Richardson (ed.), Regional Economics, chapter 9, pages 115-133, Palgrave Macmillan.
    19. Guy Laroque, 2005. "Income Maintenance and Labor Force Participation," Econometrica, Econometric Society, vol. 73(2), pages 341-376, March.
    20. 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.
    21. 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.
    22. Krugman, Paul, 1991. "Increasing Returns and Economic Geography," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 483-499, June.
    23. Wilson, John D., 1982. "Optimal linear income taxation in the presence of emigration," Journal of Public Economics, Elsevier, vol. 18(3), pages 363-379, August.
    24. Atkinson, A. B., 1990. "Public economics and the economic public," European Economic Review, Elsevier, vol. 34(2-3), pages 225-248, May.
    25. Mirrlees, J. A., 1982. "Migration and optimal income taxes," Journal of Public Economics, Elsevier, vol. 18(3), pages 319-341, August.
    26. Huber, Bernd, 1999. "Tax competition and tax coordination in an optimum income tax model," Journal of Public Economics, Elsevier, vol. 71(3), pages 441-458, March.
    27. Petter Osmundsen, 1999. "Taxing Internationally Mobile Individuals—A Case of Countervailing Incentives," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 6(2), pages 149-164, May.
    28. Jonathan Hamilton & Pierre Pestieau, 2005. "Optimal Income Taxation and the Ability Distribution: Implications for Migration Equilibria," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 12(1), pages 29-45, January.
    29. Jihan Ghrairi, 2013. "The determinants of Job Access Channels: Evidence from the Youth Labor Market in France," TEPP Working Paper 2013-03, TEPP.
    30. Martin F. Hellwig, 2010. "Incentive Problems With Unidimensional Hidden Characteristics: A Unified Approach," Econometrica, Econometric Society, vol. 78(4), pages 1201-1237, July.
    31. Henrik Jacobsen Kleven & Camille Landais & Esben Schultz, 2014. "Migration and Wage Effects of Taxing Top Earners: Evidence from the Foreigners' Tax Scheme in Denmark," The Quarterly Journal of Economics, Oxford University Press, vol. 129(1), pages 333-378.
    32. George R. Heaton, 1999. "Book:," Journal of Industrial Ecology, Yale University, vol. 3(4), pages 150-152, October.
    33. Borjas, George J., 1999. "The economic analysis of immigration," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 3, chapter 28, pages 1697-1760, Elsevier.
    34. 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.
    35. O. Ashenfelter & D. Card (ed.), 1999. "Handbook of Labor Economics," Handbook of Labor Economics, Elsevier, edition 1, volume 3, number 3.
    36. Emmanuel Saez, 2001. "Using Elasticities to Derive Optimal Income Tax Rates," Review of Economic Studies, Oxford University Press, vol. 68(1), pages 205-229.
    37. Robert J. Barro & Xavier Sala-i-Martin, 1991. "Convergence across States and Regions," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 22(1), pages 107-182.
    38. Laurent Simula & Alain Trannoy, 2012. "Shall we keep the highly skilled at home? The optimal income tax perspective," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(4), pages 751-782, October.
    39. 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.
    40. Frédéric Gavrel, 2013. "Capital mobility, search unemployment and labor market policies: The case of minimum wages," Working Papers halshs-00856270, HAL.
    41. Wilson, John D., 1980. "The effect of potential emigration on the optimal linear income tax," Journal of Public Economics, Elsevier, vol. 14(3), pages 339-353, December.
    42. Henrik Jacobsen Kleven & Camille Landais & Emmanuel Saez, 2013. "Taxation and International Migration of Superstars: Evidence from the European Football Market," American Economic Review, American Economic Association, vol. 103(5), pages 1892-1924, August.
    43. Jihan Ghrairi, 2013. "The determinants of Job Access Channels: Evidence from the Youth Labor Market in France," Working Papers halshs-00870042, HAL.
    44. 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.
    45. Maggi G. & Rodriguez-Clare A., 1995. "On Countervailing Incentives," Journal of Economic Theory, Elsevier, vol. 66(1), pages 238-263, June.
    46. Huber, Bernd, 1999. "Tax competition and tax coordination in an optimum income tax model," Munich Reprints in Economics 19402, University of Munich, Department of Economics.
    47. repec:oup:qjecon:v:129:y:2013:i:1:p:333-378 is not listed on IDEAS
    48. Massimo Morelli & Huanxing Yang & Lixin Ye, 2012. "Competitive Nonlinear Taxation and Constitutional Choice," American Economic Journal: Microeconomics, American Economic Association, vol. 4(1), pages 142-175, February.
    49. Young, Cristobal & Varner, Charles, 2011. "Millionaire Migration and State Taxation of Top Incomes: Evidence From a Natural Experiment," National Tax Journal, National Tax Association;National Tax Journal, vol. 64(2), pages 255-283, June.
    50. 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.
    51. Stiglitz, Joseph E., 1982. "Self-selection and Pareto efficient taxation," Journal of Public Economics, Elsevier, vol. 17(2), pages 213-240, March.
    52. Wilson, John D., 1982. "Optimal income taxation and migration : A world welfare point of view," Journal of Public Economics, Elsevier, vol. 18(3), pages 381-397, August.
    53. (IFS), Institute for Fiscal Studies (ed.), 2010. "Dimensions of Tax Design: The Mirrlees Review," OUP Catalogue, Oxford University Press, number 9780199553754.
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    More about this item

    Keywords

    Optimal Income Tax; Income Tax competition; Migration; Labor Mobility; Nash-Equilibrium Tax Schedules;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • H87 - Public Economics - - Miscellaneous Issues - - - International Fiscal Issues; International Public Goods

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