Rankings of income distributions: a note on intermediate inequality indices
Coral del Rio Otero and
Olga Alonso-Villar
A chapter in Inequality and Opportunity: Papers from the Second ECINEQ Society Meeting, 2008, pp 213-229 from Emerald Group Publishing Limited
Abstract:
The purpose of this paper is to analyze the advantages and disadvantages of several intermediate inequality measures, paying special attention to the unit-consistency axiom proposed by Zheng (2007). First, we demonstrate why one of the most referenced intermediate indices, proposed by Bossert and Pfingsten (1990), is not unit-consistent. Second, we explain why the invariance criterion proposed by Del Río and Ruiz-Castillo (2000), recently generalized by Del Río and Alonso-Villar (2008), leads instead to inequality measures that are unaffected by the currency unit. Third, we show that the intermediate measures proposed by Kolm (1976) may also violate unit-consistency. Finally, we reflect on the concept of intermediateness behind the above notions together with that proposed by Krtscha (1994). Special attention is paid to the geometric interpretations of our results.
Date: 2008
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Working Paper: Rankings of Income Distributions: A Note on Intermediate Inequality Indices (2007) 
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Persistent link: https://EconPapers.repec.org/RePEc:eme:reinzz:s1049-2585(08)16010-0
DOI: 10.1016/S1049-2585(08)16010-0
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