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Aggregation Issues in Inequality Measurement

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Measurement in Economics

Abstract

The elementary properties which inequality measures are usually assumed to possess admit a wide variety of specific index forms. In some circumstances, this multiplicity of potential measures does not cause any problem. For instance, if we are only interested in judging whether one distribution has more or less inequality than another, it may be the case that all the indices agree on their ranking. In most applications, however, different indices will lead to different conclusions. It is then necessary to seek criteria that will enable us to discriminate between the admissable alternatives.

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References

  • Aczel, J.: Lectures on Functional Equations and Their Applications. New York: Academic Press, 1966.

    Google Scholar 

  • Atkinson, A. B. “On the Measurement of Inequality”, Journal of Economic Theory, 2 (1970), 244–263.

    Article  Google Scholar 

  • Blackorby, C. and D. Donaldson: “Measures of Relative Equality and Their Meaning in Terms of Social Welfare”, Journal of Economic Theory, 18 (1978) , 59–80.

    Article  Google Scholar 

  • Blackorby, C. and D. Donaldson: “A Theoretical Treatment of Ethical Indices of Absolute Inequality”, International Economic Review, 21 (1980) , 107–136.

    Google Scholar 

  • Blackorby, C., D. Donaldson and M. Auersperg: “A New Procedure for the Measurement of Inequality Within and Among Population Subgroups”, Canadian. Journal of Economics, 14 (1981),665–685.

    Article  Google Scholar 

  • Bourguignon, F.: “Decomposable Income Inequality Measures”, Econometrica, 47 (1979) , 901–920.

    Article  Google Scholar 

  • Cowell, F. A.: “On the Structure of Additive Inequality Measures”, Review of Economic Studies, 47 (1980) , 521–531.

    Article  Google Scholar 

  • Cowell, F. A. and K. Kuga: “Additivity and the Entropy Concept: An Axiomatic Approach to Inequality Measurement”, Journal of Economic Theory, 25 (1981) , 131–143.

    Article  Google Scholar 

  • Das, T. and A. Parikh: “Decomposition of Inequality Measures and a Comparative Analysis”, Empirical Economics, 7 (1982) , 23–48.

    Article  Google Scholar 

  • Dasgupta, P., A. Sen and D. Starrett: “Notes on the Measurement of Inequality”, journal of Economic Theory, 6 (1973) , 180–187.

    Article  Google Scholar 

  • Ebert, U.: “On the Decomposition of Inequality: Partitions into Non-overlapping Subgroups”, mimeo, 1985.

    Google Scholar 

  • Fei, J. C. H., G. Ranis and S. W. Y. Kuo: “Growth and the Family Distribution of Income by Factor Components”, Quarterly Journal of Economics, 92 (1978) , 17–53.

    Article  Google Scholar 

  • Fields, G. S. and J. C. H. Fei: “On Inequality Comparisons”, Econometrica, 46 (1978), 303–316.

    Article  Google Scholar 

  • Foster, J. E.: “Inequality Measurement”, in H. P. Young (ed.) Fair Allocation. Providence, Rhode Island: American Mathematical Society, 1985.

    Google Scholar 

  • Kolm, S.-Ch.: “The Optimum Production of Social Justice”, in J. Margolis and H. Guitton (eds.) Public Economics.- London: Macmillan, 1969.

    Google Scholar 

  • Kolm, S.-Ch.: “Unequal Inequalities, I”, Journal of Economic Theory, 12 (1976a), 416–442.

    Article  Google Scholar 

  • Kolm, S.-Ch.: “Unequal Inequalities, II”, Journal of Economic Theory, 13 (1976b) , 82–111.

    Google Scholar 

  • Mookherjee, D. and A. F. Shorrocks: “A Decomposition Analysis of the Trend in U.K. Income Inequality”, Economic Journal, 92 (1982) , 886–902.

    Article  Google Scholar 

  • Pyatt, G.: “On the Interpretation and Disaggregation of Gini Coefficients”, Economic Journal, 86 (1976), 243–255.

    Article  Google Scholar 

  • Pyatt, G., C. Chen and J. Fei: “The Distribution of Income by Factor Components”, Quarterly Journal of Economics, 94 (1980) , 451–474.

    Article  Google Scholar 

  • Sen, A. K.: On Economic Inequality. Oxford: Clarendon Press, 1973.

    Book  Google Scholar 

  • Shorrocks, A. F.: “The Class of Additively Decomposable Inequality Measures” Econometrica, 48 (1980) , 613–625.

    Article  Google Scholar 

  • Shorrocks, A. F.: “Inequality Decomposition by Factor Components”, Econometrica, 50 (1982), 193–211.

    Article  Google Scholar 

  • Shorrocks, A. F.: “Inequality Decomposition by Population Subgroups”, Econometrica, 52 (1984), 1369–1385.

    Article  Google Scholar 

  • Theil, H.: Economics and Information Theory. Amsterdam: North Holland Publishing Co., 1967.

    Google Scholar 

  • Toyoda, T.: “Decomposability of Inequality Measures”, Economic Studies Quarterly, 31 (1980), 207–216.

    Google Scholar 

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© 1988 Springer-Verlag Berlin Heidelberg

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Shorrocks, A.F. (1988). Aggregation Issues in Inequality Measurement. In: Eichhorn, W. (eds) Measurement in Economics. Physica, Heidelberg. https://doi.org/10.1007/978-3-642-52481-3_32

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  • DOI: https://doi.org/10.1007/978-3-642-52481-3_32

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-642-52483-7

  • Online ISBN: 978-3-642-52481-3

  • eBook Packages: Springer Book Archive

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