IDEAS home Printed from https://ideas.repec.org/a/spr/cejnor/v28y2020i2d10.1007_s10100-019-00662-9.html
   My bibliography  Save this article

Measuring income inequalities beyond the Gini coefficient

Author

Listed:
  • Mikuláš Luptáčik

    (Vienna University of Economics and Business
    University of Economics in Bratislava)

  • Eduard Nežinský

    (University of Economics in Bratislava)

Abstract

Growing interest in the analysis of interrelationships between income distribution and economic growth has recently stimulated new theoretical and empirical research. Measures such as the head-count ratio for the poverty index or the widely used Gini coefficient are aggregated indicators describing the general extent of inequality without deeper insights into income distribution among households. To derive an indicator accounting for income distribution among income groups, we propose a new approach based on an output oriented DEA model where the input value is unitized to 1 for each country and weights restrictions imposed so as to favour a higher income share in the lower quantiles. We demonstrate the merits of this approach on the quintile income breakdown data of 29 European countries. Prioritizing lower income groups’ welfare, countries such as Slovenia and Slovakia can be equally favoured by the new proposed indicator while being assessed differently by the Gini index. An intertemporal analysis reveals a slight deterioration of income distribution in the majority of 29 European countries over the period of 2007–2016 in a Rawlsian sense.

Suggested Citation

  • Mikuláš Luptáčik & Eduard Nežinský, 2020. "Measuring income inequalities beyond the Gini coefficient," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 28(2), pages 561-578, June.
  • Handle: RePEc:spr:cejnor:v:28:y:2020:i:2:d:10.1007_s10100-019-00662-9
    DOI: 10.1007/s10100-019-00662-9
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10100-019-00662-9
    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/s10100-019-00662-9?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. Anthony B. Atkinson & Thomas Piketty & Emmanuel Saez, 2011. "Top Incomes in the Long Run of History," Journal of Economic Literature, American Economic Association, vol. 49(1), pages 3-71, March.
    2. Charles I. Jones & Peter J. Klenow, 2016. "Beyond GDP? Welfare across Countries and Time," American Economic Review, American Economic Association, vol. 106(9), pages 2426-2457, September.
    3. Martin Feldstein, 2005. "Rethinking Social Insurance," American Economic Review, American Economic Association, vol. 95(1), pages 1-24, March.
    4. PierCarlo Nicola, 2013. "Efficiency and Equity in Welfare Economics," Lecture Notes in Economics and Mathematical Systems, Springer, edition 127, number 978-3-642-30071-4, July.
    5. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    6. Russell G. Thompson & F. D. Singleton & Robert M. Thrall & Barton A. Smith, 1986. "Comparative Site Evaluations for Locating a High-Energy Physics Lab in Texas," Interfaces, INFORMS, vol. 16(6), pages 35-49, December.
    7. Caves, Douglas W & Christensen, Laurits R & Diewert, W Erwin, 1982. "The Economic Theory of Index Numbers and the Measurement of Input, Output, and Productivity," Econometrica, Econometric Society, vol. 50(6), pages 1393-1414, November.
    8. Sen, Amartya, 2000. "Social justice and the distribution of income," Handbook of Income Distribution, in: A.B. Atkinson & F. Bourguignon (ed.), Handbook of Income Distribution, edition 1, volume 1, chapter 1, pages 59-85, Elsevier.
    9. Fare, Rolf & Grosskopf, Shawna, 1992. "Malmquist Productivity Indexes and Fisher Ideal Indexes," Economic Journal, Royal Economic Society, vol. 102(410), pages 158-160, January.
    10. PierCarlo Nicola, 2013. "Efficiency and Welfare," Lecture Notes in Economics and Mathematical Systems, in: Efficiency and Equity in Welfare Economics, edition 127, chapter 0, pages 41-47, Springer.
    11. William W. Cooper & Lawrence M. Seiford & Kaoru Tone, 2007. "Data Envelopment Analysis," Springer Books, Springer, edition 0, number 978-0-387-45283-8, January.
    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. Eduard Nezinsky & Mikulas Luptacik, 2018. "Measuring income inequalities beyond Gini index," Department of Economic Policy Working Paper Series 013, Department of Economic Policy, Faculty of National Economy, University of Economics in Bratislava.
    2. Goto, Mika & Tsutsui, Miki, 1998. "Comparison of Productive and Cost Efficiencies Among Japanese and US Electric Utilities," Omega, Elsevier, vol. 26(2), pages 177-194, April.
    3. Adel Hatami-Marbini & Aliasghar Arabmaldar & John Otu Asu, 2022. "Robust productivity growth and efficiency measurement with undesirable outputs: evidence from the oil industry," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 44(4), pages 1213-1254, December.
    4. Rafael Benítez & Vicente Coll-Serrano & Vicente J. Bolós, 2021. "deaR-Shiny: An Interactive Web App for Data Envelopment Analysis," Sustainability, MDPI, vol. 13(12), pages 1-19, June.
    5. Barnabé Walheer, 2018. "Cost Malmquist productivity index: an output-specific approach for group comparison," Journal of Productivity Analysis, Springer, vol. 49(1), pages 79-94, February.
    6. Chang, Hsihui & Choy, Hiu Lam & Cooper, William W. & Ruefli, Timothy W., 2009. "Using Malmquist Indexes to measure changes in the productivity and efficiency of US accounting firms before and after the Sarbanes-Oxley Act," Omega, Elsevier, vol. 37(5), pages 951-960, October.
    7. Huichen Jiang & Yifan He, 2018. "Applying Data Envelopment Analysis in Measuring the Efficiency of Chinese Listed Banks in the Context of Macroprudential Framework," Mathematics, MDPI, vol. 6(10), pages 1-18, September.
    8. Mahlberg, Bernhard & Luptacik, Mikulas & Sahoo, Biresh K., 2011. "Examining the drivers of total factor productivity change with an illustrative example of 14 EU countries," Ecological Economics, Elsevier, vol. 72(C), pages 60-69.
    9. Iveta Palecková, 2017. "Application of Window Malmquist Index for Examination of Efficiency Change of Czech Commercial Banks," DANUBE: Law and Economics Review, European Association Comenius - EACO, issue 3, pages 173-190, September.
    10. Ajayi, Victor & Anaya, Karim & Pollitt, Michael, 2022. "Incentive regulation, productivity growth and environmental effects: the case of electricity networks in Great Britain," Energy Economics, Elsevier, vol. 115(C).
    11. Claudio Pinto, 2014. "Efficiency comparison for directly managed public hospitals for different geographical area in Italy," Working papers 5, Società Italiana di Economia Pubblica.
    12. Shijie Ding & Jing Zhao & Meng Zhang & Sheng Yang & Hongwei Zhang, 2022. "Measuring the environmental protection efficiency and productivity of the 49 largest iron and steel enterprises in China," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 24(1), pages 454-472, January.
    13. Tingting Yang & Xuefeng Guan & Yuehui Qian & Weiran Xing & Huayi Wu, 2019. "Efficiency Evaluation of Urban Road Transport and Land Use in Hunan Province of China Based on Hybrid Data Envelopment Analysis (DEA) Models," Sustainability, MDPI, vol. 11(14), pages 1-18, July.
    14. Nocera Alves Junior, Paulo & Costa Melo, Isotilia & de Moraes Santos, Rodrigo & da Rocha, Fernando Vinícius & Caixeta-Filho, José Vicente, 2022. "How did COVID-19 affect green-fuel supply chain? - A performance analysis of Brazilian ethanol sector," Research in Transportation Economics, Elsevier, vol. 93(C).
    15. Barros, Carlos Pestana & Peypoch, Nicolas, 2008. "Technical efficiency of thermoelectric power plants," Energy Economics, Elsevier, vol. 30(6), pages 3118-3127, November.
    16. Md Ali & K. Klein, 2014. "Water Use Efficiency and Productivity of the Irrigation Districts in Southern Alberta," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(10), pages 2751-2766, August.
    17. Tae Hoon Oum & Katsuhiro Yamaguchi & Yuichiro Yoshida, 2011. "Efficiency Measurement Theory and its Application to Airport Benchmarking," Chapters, in: André de Palma & Robin Lindsey & Emile Quinet & Roger Vickerman (ed.), A Handbook of Transport Economics, chapter 13, Edward Elgar Publishing.
    18. Vincenzo Patrizii & Anna Pettini & Giuliano Resce, 2017. "The Cost of Well-Being," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 133(3), pages 985-1010, September.
    19. Kyuseok Lee & Kyuwan Choi, 2010. "Cross redundancy and sensitivity in DEA models," Journal of Productivity Analysis, Springer, vol. 34(2), pages 151-165, October.
    20. Fragoudaki, Alexandra & Giokas, Dimitrios, 2020. "Airport efficiency in the dawn of privatization: The case of Greece," Journal of Air Transport Management, Elsevier, vol. 86(C).

    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:cejnor:v:28:y:2020:i:2:d:10.1007_s10100-019-00662-9. 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.