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Sufficient Statistics for Nonlinear Tax Systems with General Across-Income Heterogeneity

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  • Antoine Ferey
  • Benjamin B. Lockwood
  • Dmitry Taubinsky

Abstract

This paper provides empirically implementable sufficient statistics formulas for optimal nonlinear tax systems in the presence of across-income heterogeneity in preferences, inheritances, income-shifting capabilities, and other sources. We characterize optimal smooth tax systems on income and savings (or other commodities), as well as simpler tax systems. We use familiar elasticity concepts and a novel sufficient statistic for heterogeneity correlated with earnings ability: the difference between across-income variation in savings and the causal effect of income on savings. We apply these formulas to the United States and find that the optimal savings tax is mostly positive and progressive.

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  • Antoine Ferey & Benjamin B. Lockwood & Dmitry Taubinsky, 2024. "Sufficient Statistics for Nonlinear Tax Systems with General Across-Income Heterogeneity," American Economic Review, American Economic Association, vol. 114(10), pages 3206-3249, October.
    • Handle: RePEc:aea:aecrev:v:114:y:2024:i:10:p:3206-49
    DOI: 10.1257/aer.20221053
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    1. W. J. Corlett & D. C. Hague, 1953. "Complementarity and the Excess Burden of Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 21(1), pages 21-30.
    2. Raj Chetty, 2009. "Is the Taxable Income Elasticity Sufficient to Calculate Deadweight Loss? The Implications of Evasion and Avoidance," American Economic Journal: Economic Policy, American Economic Association, vol. 1(2), pages 31-52, August.
    3. Paul Milgrom & Ilya Segal, 2002. "Envelope Theorems for Arbitrary Choice Sets," Econometrica, Econometric Society, vol. 70(2), pages 583-601, March.
    4. Emmanuel Farhi & Iván Werning, 2010. "Progressive Estate Taxation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 125(2), pages 635-673.
    5. Kaplow, Louis, 2006. "On the undesirability of commodity taxation even when income taxation is not optimal," Journal of Public Economics, Elsevier, vol. 90(6-7), pages 1235-1250, August.
    6. Hellwig, Christian & Werquin, Nicolas, 2022. "A Fair Day's Pay for a Fair Day's Work: Optimal Tax Design as Redistributional Arbitrage," CEPR Discussion Papers 16863, C.E.P.R. Discussion Papers.
    7. Martin Feldstein, 1999. "Tax Avoidance And The Deadweight Loss Of The Income Tax," The Review of Economics and Statistics, MIT Press, vol. 81(4), pages 674-680, November.
    8. Florian Scheuer & Joel Slemrod, 2021. "Taxing Our Wealth," Journal of Economic Perspectives, American Economic Association, vol. 35(1), pages 207-230, Winter.
    9. Thomas Piketty & Emmanuel Saez, 2013. "A Theory of Optimal Inheritance Taxation," Econometrica, Econometric Society, vol. 81(5), pages 1851-1886, September.
    10. Christian Moser & Pedro Olea de Souza e Silva, 2019. "Optimal Paternalistic Savings Policies," Opportunity and Inclusive Growth Institute Working Papers 17, Federal Reserve Bank of Minneapolis.
    11. 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.
    12. Cremer, Helmuth & Pestieau, Pierre & Rochet, Jean-Charles, 2003. "Capital income taxation when inherited wealth is not observable," Journal of Public Economics, Elsevier, vol. 87(11), pages 2475-2490, October.
    13. Narayana R. Kocherlakota, 2005. "Zero Expected Wealth Taxes: A Mirrlees Approach to Dynamic Optimal Taxation," Econometrica, Econometric Society, vol. 73(5), pages 1587-1621, September.
    14. Robin Boadway & Maurice Marchand & Pierre Pestieau, 2000. "Redistribution with Unobservable Bequests: A Case for Taxing Capital Income," Scandinavian Journal of Economics, Wiley Blackwell, vol. 102(2), pages 253-267, June.
    15. Laroque, Guy R., 2005. "Indirect taxation is superfluous under separability and taste homogeneity: a simple proof," Economics Letters, Elsevier, vol. 87(1), pages 141-144, April.
    16. Hellwig, Christian & Werquin, Nicolas, 2022. "Using Consumption Data to Derive Optimal Income and Capital Tax Rates," TSE Working Papers 22-1284, Toulouse School of Economics (TSE), revised Jul 2024.
    17. Matthew Smith & Owen Zidar & Eric Zwick, 2020. "Top Wealth in America: New Estimates and Implications for Taxing the Rich," Working Papers 264, Princeton University, Department of Economics, Center for Economic Policy Studies..
    18. Emmanuel Saez & Stefanie Stantcheva, 2016. "Generalized Social Marginal Welfare Weights for Optimal Tax Theory," American Economic Review, American Economic Association, vol. 106(1), pages 24-45, January.
    19. repec:bla:scandj:v:102:y:2000:i:2:p:253-67 is not listed on IDEAS
    20. 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.
    21. Florian Scheuer & Alexander Wolitzky, 2016. "Capital Taxation under Political Constraints," American Economic Review, American Economic Association, vol. 106(8), pages 2304-2328, August.
    22. Aart Gerritsen & Bas Jacobs & Alexandra V. Rusu & Kevin Spiritus, 2020. "Optimal Taxation of Capital Income with Heterogeneous Rates of Return," Tinbergen Institute Discussion Papers 20-038/VI, Tinbergen Institute.
    23. Thomas Piketty & Emmanuel Saez & Gabriel Zucman, 2018. "Distributional National Accounts: Methods and Estimates for the United States," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 133(2), pages 553-609.
    24. Lockwood, Benjamin B. & Weinzierl, Matthew, 2015. "De Gustibus non est Taxandum: Heterogeneity in preferences and optimal redistribution," Journal of Public Economics, Elsevier, vol. 124(C), pages 74-80.
    25. Andreas Fagereng & Luigi Guiso & Davide Malacrino & Luigi Pistaferri, 2020. "Heterogeneity and Persistence in Returns to Wealth," Econometrica, Econometric Society, vol. 88(1), pages 115-170, January.
    26. Andreas Fagereng & Martin B. Holm & Gisle J. Natvik, 2021. "MPC Heterogeneity and Household Balance Sheets," American Economic Journal: Macroeconomics, American Economic Association, vol. 13(4), pages 1-54, October.
    27. Lans Bovenberg, A. & Jacobs, Bas, 2005. "Redistribution and education subsidies are Siamese twins," Journal of Public Economics, Elsevier, vol. 89(11-12), pages 2005-2035, December.
    28. repec:hal:pseose:halshs-00879813 is not listed on IDEAS
    29. Karl Schulz, 2021. "Redistribution of Return Inequality," CESifo Working Paper Series 8996, CESifo.
    30. Katrine Jakobsen & Kristian Jakobsen & Henrik Kleven & Gabriel Zucman, 2020. "Wealth Taxation and Wealth Accumulation: Theory and Evidence From Denmark," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 135(1), pages 329-388.
    31. Hunt Allcott & Benjamin B Lockwood & Dmitry Taubinsky, 2019. "Regressive Sin Taxes, with an Application to the Optimal Soda Tax," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 134(3), pages 1557-1626.
    32. Dominik Sachs & Aleh Tsyvinski & Nicolas Werquin, 2020. "Nonlinear Tax Incidence and Optimal Taxation in General Equilibrium," Econometrica, Econometric Society, vol. 88(2), pages 469-493, March.
    33. Stefanie Stantcheva, 2017. "Optimal Taxation and Human Capital Policies over the Life Cycle," Journal of Political Economy, University of Chicago Press, vol. 125(6), pages 1931-1990.
    34. Golosov, Mikhail & Troshkin, Maxim & Tsyvinski, Aleh & Weinzierl, Matthew, 2013. "Preference heterogeneity and optimal capital income taxation," Journal of Public Economics, Elsevier, vol. 97(C), pages 160-175.
    35. Sachs, Dominik & Tsyvinski, Aleh & Werquin, Nicolas, 2020. "Nonlinear Tax Incidence And Optimal Taxation In General Equilibrium," Munich Reprints in Economics 84782, University of Munich, Department of Economics.
    36. Gauthier, Stéphane & Henriet, Fanny, 2018. "Commodity taxes and taste heterogeneity," European Economic Review, Elsevier, vol. 101(C), pages 284-296.
    37. Benjamin B. Lockwood, 2020. "Optimal Income Taxation with Present Bias," American Economic Journal: Economic Policy, American Economic Association, vol. 12(4), pages 298-327, November.
    38. Ole Agersnap & Owen Zidar, 2021. "The Tax Elasticity of Capital Gains and Revenue-Maximizing Rates," American Economic Review: Insights, American Economic Association, vol. 3(4), pages 399-416, December.
    39. Stiglitz, Joseph E., 2018. "Pareto efficient taxation and expenditures: Pre- and re-distribution," Journal of Public Economics, Elsevier, vol. 162(C), pages 101-119.
    40. Hendren, Nathaniel, 2020. "Measuring economic efficiency using inverse-optimum weights," Journal of Public Economics, Elsevier, vol. 187(C).
    41. Konishi, Hideo, 1995. "A Pareto-improving commodity tax reform under a smooth nonlinear income tax," Journal of Public Economics, Elsevier, vol. 56(3), pages 413-446, March.
    42. Slemrod, Joel, 1995. "Income Creation or Income Shifting? Behavioral Responses to the Tax Reform Act of 1986," American Economic Review, American Economic Association, vol. 85(2), pages 175-180, May.
    43. 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.
    44. Jesse Bricker & Kevin B. Moore & Jeffrey P. Thompson, 2019. "Trends in Household Portfolio Composition," Finance and Economics Discussion Series 2019-069, Board of Governors of the Federal Reserve System (U.S.).
    45. Atkinson, A. B. & Stiglitz, J. E., 1976. "The design of tax structure: Direct versus indirect taxation," Journal of Public Economics, Elsevier, vol. 6(1-2), pages 55-75.
    46. Vidar Christiansen & Matti Tuomala, 2008. "On taxing capital income with income shifting," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 15(4), pages 527-545, August.
    47. Jacobs, Bas & Boadway, Robin, 2014. "Optimal linear commodity taxation under optimal non-linear income taxation," Journal of Public Economics, Elsevier, vol. 117(C), pages 201-210.
    48. Diamond, P. A., 1975. "A many-person Ramsey tax rule," Journal of Public Economics, Elsevier, vol. 4(4), pages 335-342, November.
    49. Peter Diamond & Johannes Spinnewijn, 2011. "Capital Income Taxes with Heterogeneous Discount Rates," American Economic Journal: Economic Policy, American Economic Association, vol. 3(4), pages 52-76, November.
    50. B. Douglas Bernheim & Dmitry Taubinsky, 2018. "Behavioral Public Economics," NBER Working Papers 24828, National Bureau of Economic Research, Inc.
    51. Emmanuel Saez & Gabriel Zucman, 2020. "Trends in US Income and Wealth Inequality: Revising After the Revisionists," NBER Working Papers 27921, National Bureau of Economic Research, Inc.
    52. David Laibson, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(2), pages 443-478.
    53. 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.
    54. Gahvari, Firouz & Micheletto, Luca, 2016. "Capital income taxation and the Atkinson–Stiglitz theorem," Economics Letters, Elsevier, vol. 147(C), pages 86-89.
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    Cited by:

    1. Jacquet, Laurence & Lehmann, Etienne, 2021. "How to Tax Different Incomes?," IZA Discussion Papers 14739, Institute of Labor Economics (IZA).
    2. Ferey, Antoine, 2022. "Redistribution and Unemployment Insurance," Rationality and Competition Discussion Paper Series 345, CRC TRR 190 Rationality and Competition.
    3. Kevin Spiritus, 2022. "Optimal Commodity Taxation When Households Earn Multiple Incomes," Tinbergen Institute Discussion Papers 22-082/VI, Tinbergen Institute.
    4. Hellwig, Christian & Werquin, Nicolas, 2022. "Using Consumption Data to Derive Optimal Income and Capital Tax Rates," TSE Working Papers 22-1284, Toulouse School of Economics (TSE), revised Jul 2024.
    5. Mallesh Pai & Philipp Strack, 2022. "Taxing Externalities Without Hurting the Poor," Cowles Foundation Discussion Papers 2377, Cowles Foundation for Research in Economics, Yale University.

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    More about this item

    JEL classification:

    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • G51 - Financial Economics - - Household Finance - - - Household Savings, Borrowing, Debt, and Wealth
    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • H24 - Public Economics - - Taxation, Subsidies, and Revenue - - - Personal Income and Other Nonbusiness Taxes and Subsidies

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