IDEAS home Printed from https://ideas.repec.org/a/bla/jpbect/v24y2022i2p380-409.html
   My bibliography  Save this article

A general rank‐dependent approach for distributional comparisons

Author

Listed:
  • Flaviana Palmisano
  • Ida Petrillo

Abstract

This paper provides a normative model for distributional comparisons that can be easily adapted for the evaluation of public policies. This model considers individuals whose well‐being is characterized by a monetary and a nonmonetary dimension. It also accounts for inequality at the top and bottom of the distribution of both dimensions. It derives third‐order inverse stochastic dominance conditions for classes of social welfare functions satisfying: (i) threshold dependent positional transfer (TDPT) sensitivity with respect to the monetary dimension; (ii) TDPT combined with downside inequality aversion with respect to the nonmonetary dimension; (iii) TDPT combined with upside inequality aversion with respect to the nonmonetary dimension. This paper's results emerge along with the existing one supporting downside inequality aversion both with respect to the monetary and nonmonetary dimension, and upside inequality aversion with respect to the monetary dimension.

Suggested Citation

  • Flaviana Palmisano & Ida Petrillo, 2022. "A general rank‐dependent approach for distributional comparisons," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 24(2), pages 380-409, April.
  • Handle: RePEc:bla:jpbect:v:24:y:2022:i:2:p:380-409
    DOI: 10.1111/jpet.12548
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/jpet.12548
    Download Restriction: no

    File URL: https://libkey.io/10.1111/jpet.12548?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. P. Brunori & F. Palmisano & V. Peragine, 2014. "Income taxation and equity: new dominance criteria and an application to Romania," SERIES 0050, Dipartimento di Economia e Finanza - Università degli Studi di Bari "Aldo Moro", revised Dec 2014.
    2. Claudio Zoli & Peter Lambert, 2012. "Sequential procedures for poverty gap dominance," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(2), pages 649-673, July.
    3. Atkinson, A. B. & Piketty, Thomas (ed.), 2010. "Top Incomes: A Global Perspective," OUP Catalogue, Oxford University Press, number 9780199286898.
    4. Flaviana Palmisano, 2018. "Evaluating Patterns of Income Growth when Status Matters: A Robust Approach," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 64(1), pages 147-169, March.
    5. Ernst Fehr & Klaus M. Schmidt, 1999. "A Theory of Fairness, Competition, and Cooperation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 817-868.
    6. Facundo Alvaredo & Lucas Chancel & Thomas Piketty & Emmanuel Saez & Gabriel Zucman, 2017. "Global Inequality Dynamics: New Findings from WID.world," American Economic Review, American Economic Association, vol. 107(5), pages 404-409, May.
    7. Roy van der Weide & Branko Milanovic, 2018. "Inequality is Bad for Growth of the Poor (but Not for That of the Rich)," The World Bank Economic Review, World Bank, vol. 32(3), pages 507-530.
    8. Maria C. Lo Bue & Flaviana Palmisano, 2020. "The Individual Poverty Incidence of Growth," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 82(6), pages 1295-1321, December.
    9. Flaviana Palmisano & Vito Peragine, 2015. "The Distributional Incidence of Growth: A Social Welfare Approach," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 61(3), pages 440-464, September.
    10. repec:bla:econom:v:59:y:1992:i:233:p:1-16 is not listed on IDEAS
    11. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
    12. Ebert, Udo, 2000. "Sequential Generalized Lorenz Dominance and Transfer Principles," Bulletin of Economic Research, Wiley Blackwell, vol. 52(2), pages 113-122, April.
    13. repec:bla:revinw:v:39:y:1993:i:4:p:337-56 is not listed on IDEAS
    14. Joseph Stiglitz & Amartya K. Sen & Jean-Paul Fitoussi, 2009. "The measurement of economic performance and social progress revisited: Reflections and Overview," SciencePo Working papers Main hal-01069384, HAL.
    15. Stephen P. Jenkins & Philippe Van Kerm, 2016. "Assessing Individual Income Growth," Economica, London School of Economics and Political Science, vol. 83(332), pages 679-703, October.
    16. repec:bla:econom:v:50:y:1983:i:197:p:3-17 is not listed on IDEAS
    17. Louis Kaplow, 2020. "A Unified Perspective on Efficiency, Redistribution, and Public Policy," NBER Working Papers 26683, National Bureau of Economic Research, Inc.
    18. repec:hal:wpspec:info:hdl:2441/5l6uh8ogmqildh09h4687h53k is not listed on IDEAS
    19. Rolf Aaberge, 2009. "Ranking intersecting Lorenz curves," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(2), pages 235-259, August.
    20. Kolm, Serge-Christophe, 1976. "Unequal inequalities. II," Journal of Economic Theory, Elsevier, vol. 13(1), pages 82-111, August.
    21. Peragine, Vitorocco, 2002. "Opportunity egalitarianism and income inequality," Mathematical Social Sciences, Elsevier, vol. 44(1), pages 45-64, September.
    22. repec:hal:spmain:info:hdl:2441/5l6uh8ogmqildh09h4687h53k is not listed on IDEAS
    23. Claudio Zoli, 1999. "Intersecting generalized Lorenz curves and the Gini index," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(2), pages 183-196.
    24. Philippe Mongin & Marcus Pivato, 2021. "Rawls’s difference principle and maximin rule of allocation: a new analysis," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(4), pages 1499-1525, June.
    25. Rolf Aaberge & Tarjei Havnes & Magne Mogstad, 2013. "A theory for ranking distribution functions," Discussion Papers 763, Statistics Norway, Research Department.
    26. repec:bla:econom:v:69:y:2002:i:276:p:549-62 is not listed on IDEAS
    27. Glaeser, Edward & Scheinkman, Jose & Shleifer, Andrei, 2003. "The injustice of inequality," Journal of Monetary Economics, Elsevier, vol. 50(1), pages 199-222, January.
    28. Vito Peragine & Maria G. Pittau & Ernesto Savaglio & Stefano Vannucci, 2021. "On multidimensional poverty rankings of binary attributes," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 23(2), pages 248-274, April.
    29. Weymark, John A., 1981. "Generalized gini inequality indices," Mathematical Social Sciences, Elsevier, vol. 1(4), pages 409-430, August.
    30. Mehran, Farhad, 1976. "Linear Measures of Income Inequality," Econometrica, Econometric Society, vol. 44(4), pages 805-809, July.
    31. Anthony Atkinson & Thomas Piketty, 2010. "Top Incomes : A Global Perspective," PSE-Ecole d'économie de Paris (Postprint) halshs-00754875, HAL.
    32. Christine Chambaz & Eric Maurin, 1998. "Atkinson And Bourguignon'S Dominance Criteria: Extended And Applied To The Measurement Of Poverty In France," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 44(4), pages 497-513, December.
    33. Kolm, Serge-Christophe, 1976. "Unequal inequalities. I," Journal of Economic Theory, Elsevier, vol. 12(3), pages 416-442, June.
    34. Stephen P. Jenkins & Peter J. Lambert, 1993. "Ranking Income Distributions When Needs Differ," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 39(4), pages 337-356, December.
    35. Henry de Frahan, Lancelot & Maniquet, François, 2021. "Preference responsibility versus poverty reduction in the taxation of labor incomes," Journal of Public Economics, Elsevier, vol. 197(C).
    36. Friedman, Daniel & Ostrov, Daniel N., 2008. "Conspicuous consumption dynamics," Games and Economic Behavior, Elsevier, vol. 64(1), pages 121-145, September.
    37. Axel Ockenfels & Gary E. Bolton, 2000. "ERC: A Theory of Equity, Reciprocity, and Competition," American Economic Review, American Economic Association, vol. 90(1), pages 166-193, March.
    38. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    39. Easterly, William, 2001. "The Middle Class Consensus and Economic Development," Journal of Economic Growth, Springer, vol. 6(4), pages 317-335, December.
    40. Marc Fleurbaey & Giacomo Valletta, 2018. "Fair optimal tax with endogenous productivities," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 20(6), pages 849-873, December.
    41. Serge-Christophe Kolm, 1977. "Multidimensional Egalitarianisms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 91(1), pages 1-13.
    42. Anthony B. Atkinson & François Bourguignon, 1987. "Income Distribution and Differences in Needs," Palgrave Macmillan Books, in: George R. Feiwel (ed.), Arrow and the Foundations of the Theory of Economic Policy, chapter 12, pages 350-370, Palgrave Macmillan.
    43. Louis Kaplow, 2020. "A Unified Perspective on Efficiency, Redistribution, and Public Policy," National Tax Journal, National Tax Association;National Tax Journal, vol. 73(2), pages 429-472, June.
    44. Joseph E. Stiglitz & Amartya Sen & Jean-Paul Fitoussi, 2009. "The measurement of economic performance and social progress revisited," Documents de Travail de l'OFCE 2009-33, Observatoire Francais des Conjonctures Economiques (OFCE).
    45. Anthony Atkinson & Thomas Piketty, 2007. "Top incomes over the twentieth century: A contrast between continental european and english-speaking countries," Post-Print halshs-00754859, HAL.
    46. Atkinson, A. B. & Piketty, Thomas (ed.), 2007. "Top Incomes Over the Twentieth Century: A Contrast Between Continental European and English-Speaking Countries," OUP Catalogue, Oxford University Press, number 9780199286881.
    47. Gastwirth, Joseph L, 1971. "A General Definition of the Lorenz Curve," Econometrica, Econometric Society, vol. 39(6), pages 1037-1039, November.
    48. Yaari, Menahem E., 1988. "A controversial proposal concerning inequality measurement," Journal of Economic Theory, Elsevier, vol. 44(2), pages 381-397, 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. Flaviana Palmisano & Ida Petrillo, 2021. "A general rank-dependent approach for distributional comparisons," Working Papers 567, ECINEQ, Society for the Study of Economic Inequality.
    2. Ida Petrillo, 2017. "Ranking income distributions: a rank-dependent and needs-based approach," SERIES 03-2017, Dipartimento di Economia e Finanza - Università degli Studi di Bari "Aldo Moro", revised Jul 2017.
    3. Rolf Aaberge & Magne Mogstad, 2011. "Robust inequality comparisons," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 9(3), pages 353-371, September.
    4. Rolf Aaberge & François Bourguignon & Andrea Brandolini & Francisco H. G. Ferreira & Janet C. Gornick & John Hills & Markus Jäntti & Stephen P. Jenkins & Eric Marlier & John Micklewright & Brian Nolan, 2017. "Tony Atkinson and his Legacy," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 63(3), pages 411-444, September.
    5. Francesco Andreoli & Claudio Zoli, 2020. "From unidimensional to multidimensional inequality: a review," METRON, Springer;Sapienza Università di Roma, vol. 78(1), pages 5-42, April.
    6. Flaviana Palmisano, 2024. "Compassion and envy in distributional comparisons," Theory and Decision, Springer, vol. 96(1), pages 153-184, February.
    7. Claudio Zoli, 2002. "Inverse stochastic dominance, inequality measurement and Gini indices," Journal of Economics, Springer, vol. 77(1), pages 119-161, December.
    8. Rolf Aaberge & Tarjei Havnes & Magne Mogstad, 2021. "Ranking intersecting distribution functions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 36(6), pages 639-662, September.
    9. Rolf Aaberge, 2007. "Gini’s nuclear family," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 5(3), pages 305-322, December.
    10. Rolf Aaberge & François Bourguignon & Andrea Brandolini & Francisco H. G. Ferreira & Janet C. Gornick & John Hills & Markus Jäntti & Stephen P. Jenkins & Eric Marlier & John Micklewright & Brian Nolan, 2017. "Tony Atkinson and his Legacy," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 63(3), pages 411-444, September.
    11. Rolf Aaberge, 2009. "Ranking intersecting Lorenz curves," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(2), pages 235-259, August.
    12. Aaberge, Rolf & Peluso, Eugenio & Sigstad, Henrik, 2019. "The dual approach for measuring multidimensional deprivation: Theory and empirical evidence," Journal of Public Economics, Elsevier, vol. 177(C), pages 1-1.
    13. Rolf Aaberge, 2003. "Mean-Spread-Preserving Transformations," Discussion Papers 360, Statistics Norway, Research Department.
    14. Rolf Aaberge & Magne Mogstad, 2009. "On the Measurement of Long-Term Income Inequality and Income Mobility," ICER Working Papers 09-2009, ICER - International Centre for Economic Research.
    15. Fabio Maccheroni & Pietro Muliere & Claudio Zoli, 2005. "Inverse stochastic orders and generalized Gini functionals," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 529-559.
    16. Oihana Aristondo & JosŽ Luis Garc’a-Lapresta & Casilda Lasso de la Vega & Ricardo Alberto Marques Pereira, 2012. "Classical inequality indices, welfare functions, and the dual decomposition," DISA Working Papers 2012/06, Department of Computer and Management Sciences, University of Trento, Italy, revised Jun 2012.
    17. Satya Chakravarty, 2007. "A deprivation-based axiomatic characterization of the absolute Bonferroni index of inequality," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 5(3), pages 339-351, December.
    18. Chateauneuf, Alain & Gajdos, Thibault & Wilthien, Pierre-Henry, 2002. "The Principle of Strong Diminishing Transfer," Journal of Economic Theory, Elsevier, vol. 103(2), pages 311-333, April.
    19. Peter J. Lambert & Xavier Ramos, 2001. "Welfare comparisons: sequential procedures for heterogenous population," Working Papers wp0114, Department of Applied Economics at Universitat Autonoma of Barcelona.
    20. Aaberge, Rolf & Havnes, Tarjei & Mogstad, Magne, 2013. "A Theory for Ranking Distribution Functions," IZA Discussion Papers 7738, Institute of Labor Economics (IZA).

    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:bla:jpbect:v:24:y:2022:i:2:p:380-409. 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: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/apettea.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.