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research articles : A general class of additively decomposable inequality measures

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Author Info
James E. Foster () (Department of Economics, Vanderbilt University, Nashville, TN 37235, USA)
Artyom A. Shneyerov () (Department of Managerial Economics and Decision Sciences, J.L. Kellogg Graduate School of Management, Northwestern University, Evanston, IL 60208, USA)

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Abstract

This paper presents and characterizes a two-parameter class of inequality measures that contains the generalized entropy measures, the variance of logarithms, the path independent measures of Foster and Shneyerov (1999) and several new classes of measures. The key axiom is a generalized form of additive decomposability which defines the within-group and between-group inequality terms using a generalized mean in place of the arithmetic mean. Our characterization result is proved without invoking any regularity assumption (such as continuity) on the functional form of the inequality measure; instead, it relies on a minimal form of the transfer principle - or consistency with the Lorenz criterion - over two-person distributions.

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Publisher Info
Article provided by Springer in its journal Economic Theory.

Volume (Year): 14 (1999)
Issue (Month): 1 ()
Pages: 89-111
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Handle: RePEc:spr:joecth:v:14:y:1999:i:1:p:89-111

Note: Received: October 27, 1997; revised: March 25, 1998
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Related research
Keywords: Inequality measures Theil measures Variance of logarithms Generalized entropy measures Additive decomposability Functional equations Axiomatic characterization.

Find related papers by JEL classification:
C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
O15 - Economic Development, Technological Change, and Growth - - Economic Development - - - Economic Development: Human Resources; Human Development; Income Distribution; Migration

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