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A theory of income taxation under multidimensional skill heterogeneity

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  • Rothschild, Casey
  • Scheuer, Florian
Abstract
We develop a unifying framework for optimal income taxation in multi-sector economies with general patterns of externalities. Agents in this model are characterized by an N-dimensional skill vector corresponding to intrinsic abilities in N potentially externality-causing activities. The private return to each activity depends on individual skill and an aggregate activity-specific return, which is a fully general function of the economy-wide distribution of activity-specific efforts. We show that the N dimensional heterogeneity can be collapsed to a one-dimensional, endogenous statistic sufficient for screening. The optimal tax schedule features a multiplicative income specific correction to an otherwise standard tax formula. Because externalities change the relative returns to different activities, corrective taxes induce changes in the across activity allocation of effort. These relative return effects cause the optimal correction to diverge, in general, from the Pigouvian tax that would align private and social returns. We characterize this divergence and its implications for the shape of the tax schedule both generally and in a number of applications, including externality free economies, increasing and decreasing returns to scale, zero-sum activities such as bargaining or rent extraction, and positive or negative spillovers.

Suggested Citation

  • Rothschild, Casey & Scheuer, Florian, 2014. "A theory of income taxation under multidimensional skill heterogeneity," LSE Research Online Documents on Economics 58026, London School of Economics and Political Science, LSE Library.
  • Handle: RePEc:ehl:lserod:58026
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    File URL: http://eprints.lse.ac.uk/58026/
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    References listed on IDEAS

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    1. Anthony B. Atkinson & Thomas Piketty & Emmanuel Saez, 2011. "Top Incomes in the Long Run of History," Journal of Economic Literature, American Economic Association, vol. 49(1), pages 3-71, March.
    2. 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.
    3. Naito, Hisahiro, 1999. "Re-examination of uniform commodity taxes under a non-linear income tax system and its implication for production efficiency," Journal of Public Economics, Elsevier, vol. 71(2), pages 165-188, February.
    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. Casey Rothschild & Florian Scheuer, 2016. "Optimal Taxation with Rent-Seeking," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 83(3), pages 1225-1262.
    6. Myerson, Roger B, 1979. "Incentive Compatibility and the Bargaining Problem," Econometrica, Econometric Society, vol. 47(1), pages 61-73, January.
    7. Efraim Sadka, 1978. "On the Optimal Taxation of Consumption Externalities," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 92(1), pages 165-174.
    8. Helmuth Cremer & Firouz Gahvari & Norbert Ladoux, 2002. "Externalities and Optimal Taxation," Chapters, in: Lawrence H. Goulder (ed.), Environmental Policy Making in Economies with Prior Tax Distortions, chapter 14, pages 210-232, Edward Elgar Publishing.
    9. Peter A. Diamond, 1973. "Consumption Externalities and Imperfect Corrective Pricing," Bell Journal of Economics, The RAND Corporation, vol. 4(2), pages 526-538, Autumn.
    10. Thomas Piketty & Emmanuel Saez & Stefanie Stantcheva, 2014. "Optimal Taxation of Top Labor Incomes: A Tale of Three Elasticities," American Economic Journal: Economic Policy, American Economic Association, vol. 6(1), pages 230-271, February.
    11. 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.
    12. repec:hal:pseose:halshs-00944873 is not listed on IDEAS
    13. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, April.
    14. Hellwig, Martin F., 2007. "The undesirability of randomized income taxation under decreasing risk aversion," Journal of Public Economics, Elsevier, vol. 91(3-4), pages 791-816, April.
    15. 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.
    16. 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.
    17. Vincent Glode & Richard Lowery, 2016. "Compensating Financial Experts," Journal of Finance, American Finance Association, vol. 71(6), pages 2781-2808, December.
    18. Frank H. Clarke, 1976. "A New Approach to Lagrange Multipliers," Mathematics of Operations Research, INFORMS, vol. 1(2), pages 165-174, May.
    19. A. D. Roy, 1951. "Some Thoughts On The Distribution Of Earnings," Oxford Economic Papers, Oxford University Press, vol. 3(2), pages 135-146.
    20. Timothy Besley & Maitreesh Ghatak, 2013. "Bailouts and the Optimal Taxation of Bonus Pay," American Economic Review, American Economic Association, vol. 103(3), pages 163-167, May.
    21. Stiglitz, Joseph E., 1982. "Self-selection and Pareto efficient taxation," Journal of Public Economics, Elsevier, vol. 17(2), pages 213-240, March.
    22. Nathaniel Hendren, 2014. "Measuring Economic Efficiency Using Inverse-Optimum Weights," NBER Working Papers 20351, National Bureau of Economic Research, Inc.
    23. Renato Gomes & Jean-Marie Lozachmeur & Alessandro Pavan, 2018. "Differential Taxation and Occupational Choice," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 85(1), pages 511-557.
    24. Florian Scheuer, 2014. "Entrepreneurial Taxation with Endogenous Entry," American Economic Journal: Economic Policy, American Economic Association, vol. 6(2), pages 126-163, May.
    25. 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.
    26. Casey Rothschild & Florian Scheuer, 2013. "Redistributive Taxation in the Roy Model," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 128(2), pages 623-668.
    27. Florian Scheuer & Casey Rothschild, 2011. "Rent Seeking and Optimal Taxation," 2011 Meeting Papers 1262, Society for Economic Dynamics.
    28. 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.
    29. Jean-Charles Rochet & Philippe Chone, 1998. "Ironing, Sweeping, and Multidimensional Screening," Econometrica, Econometric Society, vol. 66(4), pages 783-826, July.
    30. Laurence JACQUET & Etienne LEHMANN, 2014. "Optimal Nonlinear Income Taxation with Multidimensional Types: The Case with Heterogeneous Behavioral Responses," THEMA Working Papers 2014-01, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    31. Laurence Ales & Kurnaz Musab & Sleet Christopher, "undated". "Task, Talent, and Taxes," GSIA Working Papers 2014-E16, Carnegie Mellon University, Tepper School of Business.
    32. Kopczuk, Wojciech, 2003. "A note on optimal taxation in the presence of externalities," Economics Letters, Elsevier, vol. 80(1), pages 81-86, July.
    33. Dixit, Avinash, 1985. "Tax policy in open economies," Handbook of Public Economics, in: A. J. Auerbach & M. Feldstein (ed.), Handbook of Public Economics, edition 1, volume 1, chapter 6, pages 313-374, Elsevier.
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    JEL classification:

    • M40 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Accounting - - - General

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