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Measuring economic efficiency using inverse-optimum weights

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  • Hendren, Nathaniel

Abstract

This paper provides a method to measure the traditional Kaldor-Hicks notion of “economic efficiency” when taxes affect behavior. In contrast to traditional unweighted surplus, measuring efficiency requires weighting individual benefits (or surplus) by the marginal cost to the government of providing a $1 transfer at each income level. These weights correspond to the solution to the “inverse-optimum” program in the optimal tax literature: they are the social planning weights that would rationalize the status quo tax schedule as optimal. I estimate the weights using the universe of US income tax returns from 2012. The results suggest that measuring economic efficiency requires weighting surplus accruing to the poor roughly 1.5–2 times more than surplus accruing to the rich. This is because $1 of surplus to the poor can be turned into roughly $1.5–$2 of surplus to the rich by reducing the progressivity of the tax schedule. Following Kaldor and Hicks' original applications, I compare income distributions over time in the US and across countries. The results suggest US economic growth is 15–20% lower due to increased inequality than is suggested by changes in GDP. Because of its higher inequality, the U.S. is unable to replicate the income distribution of countries like Austria and the Netherlands, despite having higher national income per capita.

Suggested Citation

  • Hendren, Nathaniel, 2020. "Measuring economic efficiency using inverse-optimum weights," Journal of Public Economics, Elsevier, vol. 187(C).
  • Handle: RePEc:eee:pubeco:v:187:y:2020:i:c:s0047272720300621
    DOI: 10.1016/j.jpubeco.2020.104198
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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. Laurence Jacquet & Etienne Lehmann, 2023. "Optimal tax problems with multidimensional heterogeneity: a mechanism design approach," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(1), pages 135-164, January.
    3. Spiritus, Kevin & Lehmann, Etienne & Renes, Sander & Zoutman, Floris T., 0. "Optimal taxation with multiple incomes and types," Theoretical Economics, Econometric Society.
    4. Støstad, Morten Nyborg & Cowell, Frank, 2024. "Inequality as an externality: consequences for tax design," LSE Research Online Documents on Economics 123752, London School of Economics and Political Science, LSE Library.
    5. Giesecke, Matthias & Jäger, Philipp, 2021. "Pension incentives and labor supply: Evidence from the introduction of universal old-age assistance in the UK," Journal of Public Economics, Elsevier, vol. 203(C).
    6. Manasi Deshpande & Lee M. Lockwood, 2022. "Beyond Health: Nonhealth Risk and the Value of Disability Insurance," Econometrica, Econometric Society, vol. 90(4), pages 1781-1810, July.
    7. Martin, Will & Ivanic, Maros & Mamun, Abdullah, 2021. "Modeling Development Policies with Multiple Objectives," 2021 Conference, August 17-31, 2021, Virtual 315330, International Association of Agricultural Economists.
    8. Canning, David, 2023. "Conducting Cost Benefit Analysis in Expected Utility Units Using Revealed Social Preferences," Working Papers 0722, University of Heidelberg, Department of Economics.
    9. Felix J. Bierbrauer & Pierre C. Boyer & Emanuel Hansen, 2023. "Pareto‐Improving Tax Reforms and the Earned Income Tax Credit," Econometrica, Econometric Society, vol. 91(3), pages 1077-1103, May.
    10. Cetin, Sefane & Hindriks, Jean, 2023. "Sustainability of pension reforms: An EU-wide political stress," LIDAM Discussion Papers CORE 2023016, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    11. Dami'an Vergara, 2022. "Minimum Wages and Optimal Redistribution," Papers 2202.00839, arXiv.org, revised Dec 2022.
    12. de Boer, Henk-Wim & Jongen, Egbert L. W. & Koot, Patrick, 2023. "Too Much of a Good Thing? Using Tax Incentives to Stimulate Dual-Earner Couples," IZA Discussion Papers 16702, Institute of Labor Economics (IZA).
    13. 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.
    14. Francesco Capozza & Krishna Srinivasan, 2024. "Who Should Get Money? Estimating Welfare Weights in the U.S," CESifo Working Paper Series 11086, CESifo.
    15. Francisco Cabezon, 2022. "The Optimal Size and Progressivity of Old-Age Social Security," Papers 2211.03912, arXiv.org.
    16. Støstad, Morten Nyborg & Cowell, Frank, 2024. "Inequality as an externality: Consequences for tax design," Journal of Public Economics, Elsevier, vol. 235(C).
    17. Leung, Justin H. & Seo, Hee Kwon, 2023. "How do government transfer payments affect retail prices and welfare? Evidence from SNAP," Journal of Public Economics, Elsevier, vol. 217(C).
    18. Gaurab Aryal & Federico Ciliberto & Leland E. Farmer & Ekaterina Khmelnitskaya, 2022. "Valuing Pharmaceutical Drug Innovations," Papers 2212.07384, arXiv.org, revised Apr 2024.
    19. Leung,Justin H. & Hee Kwon (Samuel) Seo, 2022. "How Do Government Transfer Payments Affect Retail Prices and Welfare ? Evidence from SNAP," Policy Research Working Paper Series 10075, The World Bank.
    20. Aart Gerritsen, 2024. "Optimal nonlinear taxation: a simpler approach," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 31(2), pages 486-510, April.
    21. Kristoffer Berg & Morten Håvarstein & Magnus E. Stubhaug, 2024. "Meritocratic Labor Income Taxation," CESifo Working Paper Series 11058, CESifo.
    22. Louis Kaplow, 2022. "Optimal Income Taxation," NBER Working Papers 30199, National Bureau of Economic Research, Inc.

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