IDEAS home Printed from https://ideas.repec.org/p/nys/sunysb/18-08.html
   My bibliography  Save this paper

Value Preserving Welfare Weights for Social Optimization

Author

Listed:
  • Alexis Anagnostopoulos
  • Eva Carceles-Poveda
  • Yair Tauman

Abstract

We propose a method to endogenize social welfare weights. We provide three axioms which uniquely determine the contribution of a bundle of goods to a welfare function. We define weights to be value preserving (VP) if the contribution of an individual to social welfare is proportional to the contribution of the final allocation to the individual's welfare. We show that VP weights coincide with Negishi weights in Arrow-Debreu economies. With wealth heterogeneity, VP weights prescribe higher than capital labor taxes even for extreme inequality levels. With ability differences, VP weights redistribute towards high ability, high effort and low wealth types.

Suggested Citation

  • Alexis Anagnostopoulos & Eva Carceles-Poveda & Yair Tauman, 2018. "Value Preserving Welfare Weights for Social Optimization," Department of Economics Working Papers 18-08, Stony Brook University, Department of Economics.
  • Handle: RePEc:nys:sunysb:18-08
    as

    Download full text from publisher

    File URL: https://www.stonybrook.edu/commcms/economics/research/papers/2018/shapley_1808.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Thomas Piketty & Emmanuel Saez, 2013. "Optimal Taxation of Labor Income," PSE-Ecole d'économie de Paris (Postprint) halshs-00944881, HAL.
    2. Jonathan Heathcote & Hitoshi Tsujiyama, 2021. "Optimal Income Taxation: Mirrlees Meets Ramsey," Journal of Political Economy, University of Chicago Press, vol. 129(11), pages 3141-3184.
    3. Jonathan Heathcote & Kjetil Storesletten & Giovanni L. Violante, 2017. "Optimal Tax Progressivity: An Analytical Framework," The Quarterly Journal of Economics, Oxford University Press, vol. 132(4), pages 1693-1754.
    4. Aumann, Robert J, 1975. "Values of Markets with a Continuum of Traders," Econometrica, Econometric Society, vol. 43(4), pages 611-646, July.
    5. S. Rao Aiyagari, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(3), pages 659-684.
    6. Aiyagari, S Rao, 1995. "Optimal Capital Income Taxation with Incomplete Markets, Borrowing Constraints, and Constant Discounting," Journal of Political Economy, University of Chicago Press, vol. 103(6), pages 1158-1175, December.
    7. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680, Decembrie.
    8. Thomas Piketty & Emmanuel Saez, 2012. "Optimal Labor Income Taxation," NBER Working Papers 18521, National Bureau of Economic Research, Inc.
    9. 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.
    10. John C. Harsanyi, 1953. "Cardinal Utility in Welfare Economics and in the Theory of Risk-taking," Journal of Political Economy, University of Chicago Press, vol. 61, pages 434-434.
    11. Roland Benabou, 2002. "Tax and Education Policy in a Heterogeneous-Agent Economy: What Levels of Redistribution Maximize Growth and Efficiency?," Econometrica, Econometric Society, vol. 70(2), pages 481-517, March.
    12. Ábrahám, Árpád & Cárceles-Poveda, Eva, 2010. "Endogenous trading constraints with incomplete asset markets," Journal of Economic Theory, Elsevier, vol. 145(3), pages 974-1004, May.
    13. Samet, Dov & Tauman, Yair, 1982. "The Determination of Marginal Cost Prices under a Set of Axioms," Econometrica, Econometric Society, vol. 50(4), pages 895-909, July.
    14. John C. Harsanyi, 1955. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility," Journal of Political Economy, University of Chicago Press, vol. 63, pages 309-309.
    15. Anagnostopoulos, Alexis & Cárceles-Poveda, Eva & Lin, Danmo, 2012. "Dividend and capital gains taxation under incomplete markets," Journal of Monetary Economics, Elsevier, vol. 59(7), pages 599-611.
    16. Leonard J. Mirman & Yair Tauman, 1982. "Demand Compatible Equitable Cost Sharing Prices," Mathematics of Operations Research, INFORMS, vol. 7(1), pages 40-56, February.
    17. 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.
    18. Young, H. P., 1988. "Distributive justice in taxation," Journal of Economic Theory, Elsevier, vol. 44(2), pages 321-335, April.
    19. Bo Hyun Chang & Yongsung Chang & Sun-Bin Kim, 2018. "Pareto Weights in Practice: A Quantitative Analysis of 32 OECD Countries," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 28, pages 181-204, April.
    Full references (including those not matched with items on IDEAS)

    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. Alexis Anagnostopoulos & Eva Carceles‐Poveda & Yair Tauman, 2021. "Value Preserving Welfare Weights For Social Optimization Problems," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 62(4), pages 1627-1653, November.
    2. Antràs, Pol & de Gortari, Alonso & Itskhoki, Oleg, 2017. "Globalization, inequality and welfare," Journal of International Economics, Elsevier, vol. 108(C), pages 387-412.
    3. Saez, Emmanuel & Stantcheva, Stefanie, 2018. "A simpler theory of optimal capital taxation," Journal of Public Economics, Elsevier, vol. 162(C), pages 120-142.
    4. Bo Hyun Chang & Yongsung Chang & Sun-Bin Kim, 2018. "Pareto Weights in Practice: A Quantitative Analysis of 32 OECD Countries," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 28, pages 181-204, April.
    5. Lyon, Spencer G. & Waugh, Michael E., 2018. "Redistributing the gains from trade through progressive taxation," Journal of International Economics, Elsevier, vol. 115(C), pages 185-202.
    6. YiLi Chien & Yi Wen, 2023. "Optimal Dynamic Tax-Transfer Policies in Heterogeneous-Agents Economies," Working Papers 2023-009, Federal Reserve Bank of St. Louis.
    7. Findeisen, Sebastian & Sachs, Dominik, 2015. "Designing efficient college and tax policies," Working Papers 15-09, University of Mannheim, Department of Economics.
    8. Athreya, Kartik B., 2014. "Big Ideas in Macroeconomics: A Nontechnical View," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262019736, December.
    9. Conesa, Juan Carlos & Krueger, Dirk, 2006. "On the optimal progressivity of the income tax code," Journal of Monetary Economics, Elsevier, vol. 53(7), pages 1425-1450, October.
    10. 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.
    11. Marc Fleurbaey & Stéphane Zuber, 2021. "Fair Utilitarianism," American Economic Journal: Microeconomics, American Economic Association, vol. 13(2), pages 370-401, May.
    12. Ferrreira, Ana Melissa, 2019. "Skill-Biased Technological Change and Inequality in the U.S," MPRA Paper 93914, University Library of Munich, Germany.
    13. Daniel Carroll & Sewon Hur, 2023. "On The Distributional Effects Of International Tariffs," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 64(4), pages 1311-1346, November.
    14. Yongsung Chang & Yena Park, 2021. "Optimal Taxation with Private Insurance [Uninsured Idiosyncratic Risk and Aggregate Saving]," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 88(6), pages 2766-2798.
    15. Dirk Krueger, 2006. "Public Insurance against Idiosyncratic and Aggregate Risk: The Case of Social Security and Progressive Income Taxation," CESifo Economic Studies, CESifo, vol. 52(4), pages 587-620, December.
    16. Nóbrega, Valter, 2020. "Optimal Taxation and Investment-Specific Technological Change," MPRA Paper 98917, University Library of Munich, Germany.
    17. 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.
    18. Eunseong Ma, 2019. "The Heterogeneous Responses of Consumption between Poor and Rich to Government Spending Shocks," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 51(7), pages 1999-2028, October.
    19. Drenik, Andres & Perez-Truglia, Ricardo, 2018. "Sympathy for the diligent and the demand for workfare," Journal of Economic Behavior & Organization, Elsevier, vol. 153(C), pages 77-102.
    20. Simon Fan & Yu Pang & Pierre Pestieau, 2020. "A model of the optimal allocation of government expenditures," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 22(4), pages 845-876, August.

    More about this item

    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:nys:sunysb:18-08. 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: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/edstous.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.