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The Equal-Sacrifice Social Welfare Function with an Application to Optimal Income Taxation

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  • Kristoffer Berg
  • Paolo Giovanni Piacquadio

Abstract

We propose and axiomatically characterize a family of welfare criteria that prioritize individuals making larger sacrifices. By combining efficiency with a concern for equality of sacrifice, our criteria avoid serious shortcomings of utilitarianism. We illustrate our results within the Mirrleesian optimal taxation framework. Our simulated equal-sacrifice optimal tax schedule for the US has marginal tax rates in line with the US tax system and about 20 percentage points lower than the utilitarian recommendation.

Suggested Citation

  • Kristoffer Berg & Paolo Giovanni Piacquadio, 2020. "The Equal-Sacrifice Social Welfare Function with an Application to Optimal Income Taxation," CESifo Working Paper Series 8505, CESifo.
    • Handle: RePEc:ces:ceswps:_8505
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    References listed on IDEAS

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    1. Peter Diamond & Emmanuel Saez, 2011. "The Case for a Progressive Tax: From Basic Research to Policy Recommendations," Journal of Economic Perspectives, American Economic Association, vol. 25(4), pages 165-190, Fall.
    2. Mitra, Tapan & Ok, Efe A, 1996. "Personal Income Taxation and the Principle of Equal Sacrifice Revisited," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(4), pages 925-948, November.
    3. N. Gregory Mankiw & Matthew Weinzierl & Danny Yagan, 2009. "Optimal Taxation in Theory and Practice," Journal of Economic Perspectives, American Economic Association, vol. 23(4), pages 147-174, Fall.
    4. Marc Fleurbaey & François Maniquet, 2006. "Fair Income Tax," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(1), pages 55-83.
    5. Thomas Piketty & Emmanuel Saez, 2012. "Optimal Labor Income Taxation," NBER Working Papers 18521, National Bureau of Economic Research, Inc.
    6. Thomas Piketty & Emmanuel Saez, 2013. "Optimal Taxation of Labor Income," PSE-Ecole d'économie de Paris (Postprint) halshs-00944881, HAL.
    7. Ken Binmore & Ariel Rubinstein & Asher Wolinsky, 1986. "The Nash Bargaining Solution in Economic Modelling," RAND Journal of Economics, The RAND Corporation, vol. 17(2), pages 176-188, Summer.
    8. 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.
    9. Jessen, Robin & Metzing, Maria & Rostam-Afschar, Davud, 2017. "Optimal taxation under different concepts of justness," Discussion Papers 2017/26, Free University Berlin, School of Business & Economics.
    10. 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.
    11. Rubinstein, Ariel & Safra, Zvi & Thomson, William, 1992. "On the Interpretation of the Nash Bargaining Solution and Its Extension to Non-expected Utility Preferences," Econometrica, Econometric Society, vol. 60(5), pages 1171-1186, September.
    12. Erik Schokkaert & Kurt Devooght, 2003. "Responsibility-sensitive fair compensation in different cultures," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 21(2), pages 207-242, October.
    13. Jacquet, Laurence & Van de Gaer, Dirk, 2011. "A comparison of optimal tax policies when compensation or responsibility matter," Journal of Public Economics, Elsevier, vol. 95(11), pages 1248-1262.
    14. da Costa, Carlos E. & Pereira, Thiago, 2014. "On the efficiency of equal sacrifice income tax schedules," European Economic Review, Elsevier, vol. 70(C), pages 399-418.
    15. Young, H. P., 1988. "Distributive justice in taxation," Journal of Economic Theory, Elsevier, vol. 44(2), pages 321-335, April.
    16. 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.
    17. Berliant, Marcus & Gouveia, Miguel, 1993. "Equal sacrifice and incentive compatible income taxation," Journal of Public Economics, Elsevier, vol. 51(2), pages 219-240, June.
    18. Young, H Peyton, 1990. "Progressive Taxation and Equal Sacrifice," American Economic Review, American Economic Association, vol. 80(1), pages 253-266, March.
    19. Matthew C. Weinzierl, 2012. "Why do we Redistribute so Much but Tag so Little? The principle of equal sacrifice and optimal taxation," NBER Working Papers 18045, National Bureau of Economic Research, Inc.
    20. W. M. Gorman, 1968. "The Structure of Utility Functions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 35(4), pages 367-390.
    21. Claude D'Aspremont & Louis Gevers, 1977. "Equity and the Informational Basis of Collective Choice," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 44(2), pages 199-209.
    22. Ok, Efe A., 1995. "On the principle of equal sacrifice in income taxation," Journal of Public Economics, Elsevier, vol. 58(3), pages 453-467, November.
    23. 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.
    24. Stovall, John E., 2020. "Equal sacrifice taxation," Games and Economic Behavior, Elsevier, vol. 121(C), pages 55-75.
    25. Christopher P. Chambers & Juan D. Moreno-Ternero, 2017. "Taxation and poverty," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(1), pages 153-175, January.
    26. Paolo Giovanni Piacquadio, 2017. "A Fairness Justification of Utilitarianism," Econometrica, Econometric Society, vol. 85, pages 1261-1276, July.
    27. Feldstein, Martin, 1976. "On the theory of tax reform," Journal of Public Economics, Elsevier, vol. 6(1-2), pages 77-104.
    28. Eric Maskin, 1978. "A Theorem on Utilitarianism," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 45(1), pages 93-96.
    29. Stiglitz, Joseph E., 1982. "Self-selection and Pareto efficient taxation," Journal of Public Economics, Elsevier, vol. 17(2), pages 213-240, March.
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    Cited by:

    1. Itai Sher, 2021. "Generalized Social Marginal Welfare Weights Imply Inconsistent Comparisons of Tax Policies," Papers 2102.07702, arXiv.org, revised Jun 2023.
    2. Itai Sher, 2021. "Generalized Social Marginal Welfare Weights Imply Inconsistent Comparisons of Tax Policies," Working Papers 2021-009, Human Capital and Economic Opportunity Working Group.
    3. Robin Jessen & Maria Metzing & Davud Rostam-Afschar, 2022. "Optimal Taxation When the Tax Burden Matters," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 78(3), pages 312-340.

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    More about this item

    Keywords

    equal-sacrifice principle; optimal income taxation; welfare criterion;
    All these keywords.

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • I31 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - General Welfare, Well-Being

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