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Income Inequality Indices Interpreted as Measures of Relative Deprivation/Satisfaction

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  • Luis Imedio-Olmedo
  • Encarnación Parrado-Gallardo
  • Elena Bárcena-Martín
Abstract
This paper considers different ways of making comparisons between individuals in terms of deprivation and/or satisfaction. This allows the Gini index, the Bonferroni index and the De Vergottini index to be interpreted as social deprivation measures as well as social satisfaction measures. The inequality measures that belong to the β family, or linear combinations of them, are obtained when using different weighting schemes to average the deprivation and satisfaction associated with each income level. Particularly, the generalised Gini indices (Yitzhaki, Int Econ Rev 24:617–628 in 1983 ), the indices proposed by Aaberge (J Econ Inequal 5(3):305–322, 2007 ) or those proposed by Imedio-Olmedo et al. (J Public Econ Theory 13(1):97–124, 2011 ) can be used to evaluate social deprivation or social satisfaction in an income distribution. Copyright Springer Science+Business Media B.V. 2012

Suggested Citation

  • Luis Imedio-Olmedo & Encarnación Parrado-Gallardo & Elena Bárcena-Martín, 2012. "Income Inequality Indices Interpreted as Measures of Relative Deprivation/Satisfaction," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 109(3), pages 471-491, December.
    • Handle: RePEc:spr:soinre:v:109:y:2012:i:3:p:471-491
    DOI: 10.1007/s11205-011-9912-8
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    References listed on IDEAS

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    1. Chakravarty, Satya R & Mukherjee, Diganta, 1998. "Lorenz Domination, Utilitarian Deprivation Rule and Equal Sacrifice Principle," The Manchester School of Economic & Social Studies, University of Manchester, vol. 66(5), pages 521-531, December.
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    5. Yitzhaki, Shlomo, 1983. "On an Extension of the Gini Inequality Index," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(3), pages 617-628, October.
    6. 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.
    7. Frank Cowell & Udo Ebert, 2004. "Complaints and inequality," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 23(1), pages 71-89, August.
    8. 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.
    9. Easterlin, Richard A., 1995. "Will raising the incomes of all increase the happiness of all?," Journal of Economic Behavior & Organization, Elsevier, vol. 27(1), pages 35-47, June.
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    14. Blackorby, Charles & Donaldson, David, 1978. "Measures of relative equality and their meaning in terms of social welfare," Journal of Economic Theory, Elsevier, vol. 18(1), pages 59-80, June.
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    Cited by:

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    2. Iddo Eliazar & Giovanni M. Giorgi, 2020. "From Gini to Bonferroni to Tsallis: an inequality-indices trek," METRON, Springer;Sapienza Università di Roma, vol. 78(2), pages 119-153, August.
    3. Bossert, Walter & D’Ambrosio, Conchita, 2014. "Proximity-sensitive individual deprivation measures," Economics Letters, Elsevier, vol. 122(2), pages 125-128.
    4. Elena Bárcena-Martín & Cortés Aguilar Alexandra & Ana I. Moro Egido, 2013. "The role of proximity and social comparisons on subjective well-being," ThE Papers 13/10, Department of Economic Theory and Economic History of the University of Granada..
    5. Edward Anderson & Lucio Esposito, 2014. "On the joint evaluation of absolute and relative deprivation," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 12(3), pages 411-428, September.
    6. Monti Maria Giovanna & Pellegrino Simone & Vernizzi Achille, 2024. "The Zenga Index Reveals More Than the Gini and the Bonferroni Indexes. An Analysis of Distributional Changes and Social Welfare Levels," Working papers 084, Department of Economics, Social Studies, Applied Mathematics and Statistics (Dipartimento di Scienze Economico-Sociali e Matematico-Statistiche), University of Torino.

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