IDEAS home Printed from https://ideas.repec.org/p/ces/ceswps/_8505.html
   My bibliography  Save this paper

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://www.cesifo.org/DocDL/cesifo1_wp8505.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    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. Robin Jessen & Maria Metzing & Davud Rostam-Afschar, 2017. "Optimal Taxation under Different Concepts of Justness," SOEPpapers on Multidisciplinary Panel Data Research 953, DIW Berlin, The German Socio-Economic Panel (SOEP).
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. Itai Sher, 2021. "Generalized Social Marginal Welfare Weights Imply Inconsistent Comparisons of Tax Policies," Papers 2102.07702, arXiv.org, revised Jun 2024.
    3. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Weinzierl, Matthew, 2014. "The promise of positive optimal taxation: normative diversity and a role for equal sacrifice," Journal of Public Economics, Elsevier, vol. 118(C), pages 128-142.
    2. Felix Bierbrauer, 2016. "Effizienz oder Gerechtigkeit? Ungleiche Einkommen, ungleiche Vermögen und die Theorie der optimalen Besteuerung," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2016_03, Max Planck Institute for Research on Collective Goods.
    3. Bierbrauer Felix J., 2016. "Effizienz oder Gerechtigkeit?: Ungleiche Einkommen, ungleiche Vermögen und Optimale Steuern," Perspektiven der Wirtschaftspolitik, De Gruyter, vol. 17(1), pages 2-24, April.
    4. Fleurbaey, Marc & Maniquet, François, 2015. "Optimal taxation theory and principles of fairness," LIDAM Discussion Papers CORE 2015005, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Morten Nyborg Støstad & Frank Cowell, 2021. "Inequality as an Externality: Consequences for Tax Design," PSE Working Papers halshs-03495989, HAL.
    6. Laurence Jacquet & Etienne Lehmann, 2015. "Optimal Income Taxation when Skills and Behavioral Elasticities are Heterogeneous," CESifo Working Paper Series 5265, CESifo.
    7. Erwin Ooghe & Andreas Peichl, 2015. "Fair and Efficient Taxation under Partial Control," Economic Journal, Royal Economic Society, vol. 125(589), pages 2024-2051, December.
    8. Findeisen, Sebastian & Sachs, Dominik, 2016. "Education and optimal dynamic taxation: The role of income-contingent student loans," Journal of Public Economics, Elsevier, vol. 138(C), pages 1-21.
    9. 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.
    10. Marcus Berliant & Pierre C. Boyer, 2024. "Politics and income taxes: Progress and progressivity," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 26(4), August.
    11. Gerritsen, Aart, 2016. "Optimal taxation when people do not maximize well-being," Journal of Public Economics, Elsevier, vol. 144(C), pages 122-139.
    12. 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.
    13. Jacquet, Laurence & Lehmann, Etienne, 2021. "How to Tax Different Incomes?," IZA Discussion Papers 14739, Institute of Labor Economics (IZA).
    14. 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.
    15. Peter J. Lambert & Helen T. Naughton, 2009. "The Equal Absolute Sacrifice Principle Revisited," Journal of Economic Surveys, Wiley Blackwell, vol. 23(2), pages 328-349, April.
    16. Findeisen, Sebastian & Sachs, Dominik, 2015. "Designing efficient college and tax policies," Working Papers 15-09, University of Mannheim, Department of Economics.
    17. Lawson, Nicholas, 2019. "Taxing the job creators: Efficient taxation with bargaining in hierarchical firms," Labour Economics, Elsevier, vol. 56(C), pages 1-25.
    18. Carina Neisser, 2021. "The Elasticity of Taxable Income: A Meta-Regression Analysis [The top 1% in international and historical perspective]," The Economic Journal, Royal Economic Society, vol. 131(640), pages 3365-3391.
    19. 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.
    20. Rolf Aaberge & Ugo Colombino, 2018. "Structural Labour Supply Models and Microsimulation," International Journal of Microsimulation, International Microsimulation Association, vol. 11(1), pages 162-197.

    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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ces:ceswps:_8505. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Klaus Wohlrabe (email available below). General contact details of provider: https://edirc.repec.org/data/cesifde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.