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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
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    References listed on IDEAS

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    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, December.
    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, June.
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