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A Family of Aggregative Compromise Inequality Measures

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  • Ebert, Udo

Abstract

This paper presents and discusses a set of axioms which characterizes a family of compromise inequality measures. These are indices of absolute inequality that can be easily converted to measures of relative inequality (division by the average income). The family consists of all r-means (r = 1) of the absolute difference between each individual's income and the average income. Adding further properties, one obtains an axiomatization of the absolute mean deviation, the relative mean deviation, the standard deviation, the coefficient of variation, and the subfamily of all r-means for r = 2. Copyright 1988 by Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and Economic Research Association.

Suggested Citation

  • Ebert, Udo, 1988. "A Family of Aggregative Compromise Inequality Measures," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 29(2), pages 363-376, May.
  • Handle: RePEc:ier:iecrev:v:29:y:1988:i:2:p:363-76
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    Cited by:

    1. Udo Ebert & Patrick Moyes, 2003. "The Difficulty of Income Redistribution with Labour Supply," Economics Bulletin, AccessEcon, vol. 8(2), pages 1-9.
    2. Ebert, Udo, 2010. "The decomposition of inequality reconsidered: Weakly decomposable measures," Mathematical Social Sciences, Elsevier, vol. 60(2), pages 94-103, September.
    3. Satya R. Chakravarty & Nachiketa Chattopadhyay & Conchita D'Ambrosio, 2016. "On a Family of Achievement and Shortfall Inequality Indices," Health Economics, John Wiley & Sons, Ltd., vol. 25(12), pages 1503-1513, December.
    4. Ebert U., 1996. "Income inequality and differences in household size," Mathematical Social Sciences, Elsevier, vol. 31(1), pages 57-58, February.
    5. Giorgio Di Maio & Paolo Landoni, 2015. "Beyond the Gini index: Measuring inequality with the Balance of Inequality index," a/ Working Papers Series 1506, Italian Association for the Study of Economic Asymmetries, Rome (Italy).
    6. 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.
    7. repec:ebl:ecbull:v:8:y:2003:i:2:p:1-9 is not listed on IDEAS

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