IDEAS home Printed from https://ideas.repec.org/a/spr/etbull/v9y2021i2d10.1007_s40505-021-00212-0.html
   My bibliography  Save this article

Designing income distributions with specified inequalities

Author

Listed:
  • Satya R. Chakravarty

    (Indian Statistical Institute
    Indira Gandhi Institute of Development Research)

  • Palash Sarkar

    (Indian Statistical Institute)

Abstract

Often from policy perspective it becomes necessary to arrive at an income distribution whose inequality value coincides with a targeted (low) inequality level. In the present article we address this duality problem in inequality measurement by using the well-known Gini and Bonferroni metrics of inequality. The duality theorem also enables us to determine the financial cost of achieving the targeted inequality value.

Suggested Citation

  • Satya R. Chakravarty & Palash Sarkar, 2021. "Designing income distributions with specified inequalities," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(2), pages 297-311, October.
    • Handle: RePEc:spr:etbull:v:9:y:2021:i:2:d:10.1007_s40505-021-00212-0
    DOI: 10.1007/s40505-021-00212-0
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s40505-021-00212-0
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s40505-021-00212-0?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Lucas Chancel & Thomas Piketty, 2019. "Indian Income Inequality, 1922‐2015: From British Raj to Billionaire Raj?," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 65(S1), pages 33-62, November.
    2. Bossert, Walter & Pfingsten, Andreas, 1990. "Intermediate inequality: concepts, indices, and welfare implications," Mathematical Social Sciences, Elsevier, vol. 19(2), pages 117-134, April.
    3. Elena Bárcena-Martin & Jacques Silber, 2013. "On the generalization and decomposition of the Bonferroni index," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(4), pages 763-787, October.
    4. Kolm, Serge-Christophe, 1976. "Unequal inequalities. II," Journal of Economic Theory, Elsevier, vol. 13(1), pages 82-111, August.
    5. Weymark, John A., 1981. "Generalized gini inequality indices," Mathematical Social Sciences, Elsevier, vol. 1(4), pages 409-430, August.
    6. Kolm, Serge-Christophe, 1976. "Unequal inequalities. I," Journal of Economic Theory, Elsevier, vol. 12(3), pages 416-442, June.
    7. Chakravarty, Satya Ranjan & Dutta, Bhaskar, 1987. "A note on measures of distance between imcome distributions," Journal of Economic Theory, Elsevier, vol. 41(1), pages 185-188, February.
    8. Ziqing Dong & Yves Tillé & Giovanni M. Giorgi & Alessio Guandalini, 2021. "Linearization and variance estimation of the Bonferroni inequality index," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 184(3), pages 1008-1029, July.
    9. Piketty, Thomas & Chancel, Lucas, 2017. "Indian income inequality, 1922-2014: From British Raj to Billionaire Raj ?," CEPR Discussion Papers 12409, C.E.P.R. Discussion Papers.
    10. Satya R. Chakravarty, 2015. "Inequality, Polarization and Conflict," Economic Studies in Inequality, Social Exclusion, and Well-Being, Springer, edition 127, number 978-81-322-2166-1, November.
    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. Chakravarty, Satya R. & Sarkar, Palash, 2022. "A synthesis of local and effective tax progressivity measurement," MPRA Paper 115180, University Library of Munich, Germany.

    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. Chakravarty, Satya R. & Sarkar, Palash, 2022. "A synthesis of local and effective tax progressivity measurement," MPRA Paper 115180, University Library of Munich, Germany.
    2. Satya R. Chakravarty & Palash Sarkar, 2023. "New perspectives on the Gini and Bonferroni indices of inequality," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(1), pages 47-64, January.
    3. Satya R. Chakravarty & Palash Sarkar, 2021. "An inequality paradox: relative versus absolute indices?," METRON, Springer;Sapienza Università di Roma, vol. 79(2), pages 241-254, August.
    4. Satya R. Chakravarty & Rama Pal & Rupayan Pal & Palash Sarkar, 2022. "Minimum inequality taxation, average and minimally progressive taxations and depolarization," Indira Gandhi Institute of Development Research, Mumbai Working Papers 2022-010, Indira Gandhi Institute of Development Research, Mumbai, India.
    5. Alain Chateauneuf & Patrick Moyes, 2005. "Lorenz non-consistent welfare and inequality measurement," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 2(2), pages 61-87, January.
    6. Stéphane Mussard & Françoise Seyte & Michel Terraza, 2006. "La décomposition de l’indicateur de Gini en sous-groupes : une revue de la littérature," Cahiers de recherche 06-11, Departement d'économique de l'École de gestion à l'Université de Sherbrooke.
    7. Patrick Moyes, 2007. "An extended Gini approach to inequality measurement," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 5(3), pages 279-303, December.
    8. Satya R. Chakravarty, 2009. "Equity and efficiency as components of a social welfare function," International Journal of Economic Theory, The International Society for Economic Theory, vol. 5(2), pages 181-199, June.
    9. Satya R. Chakravarty & Palash Sarkar, 2022. "Inequality minimising subsidy and taxation," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(1), pages 53-67, May.
    10. Ebert, Udo, 1997. "Linear inequality concepts and social welfare," LSE Research Online Documents on Economics 6596, London School of Economics and Political Science, LSE Library.
    11. Walter Bossert & Kohei Kamaga, 2020. "An axiomatization of the mixed utilitarian–maximin social welfare orderings," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(2), pages 451-473, March.
    12. Martin Ravallion, 2018. "What might explain today’s conflicting narratives on global inequality?," WIDER Working Paper Series 141, World Institute for Development Economic Research (UNU-WIDER).
    13. Paul Allanson & Dennis Petrie, 2014. "Understanding The Vertical Equity Judgements Underpinning Health Inequality Measures," Health Economics, John Wiley & Sons, Ltd., vol. 23(11), pages 1390-1396, November.
    14. Casilda Lasso de la Vega & Christian Seidl, 2007. "The Impossibility of a Just Pigouvian," Working Papers 69, ECINEQ, Society for the Study of Economic Inequality.
    15. Miguel Niño‐Zarazúa & Laurence Roope & Finn Tarp, 2017. "Global Inequality: Relatively Lower, Absolutely Higher," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 63(4), pages 661-684, December.
    16. 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.
    17. Coral del Río & Olga Alonso-Villar, 2008. "Rankings of income distributions: a note on intermediate inequality indices," Research on Economic Inequality, in: Inequality and Opportunity: Papers from the Second ECINEQ Society Meeting, pages 213-229, Emerald Group Publishing Limited.
    18. Marcello Basili & Paulo Casaca & Alain Chateauneuf & Maurizio Franzini, 2017. "Multidimensional Pigou–Dalton transfers and social evaluation functions," Theory and Decision, Springer, vol. 83(4), pages 573-590, December.
    19. Higgins, Sean & Lustig, Nora, 2016. "Can a poverty-reducing and progressive tax and transfer system hurt the poor?," Journal of Development Economics, Elsevier, vol. 122(C), pages 63-75.
    20. Coral Río & Olga Alonso-Villar, 2010. "New unit-consistent intermediate inequality indices," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(3), pages 505-521, March.

    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:spr:etbull:v:9:y:2021:i:2:d:10.1007_s40505-021-00212-0. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.