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A Gini and concentration index decomposition with an application to the APK reranking measure

Author

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  • Achille VERNIZZI
  • Maria Giovanna MONTI
  • Mauro MUSSINI

Abstract

In this paper, we suggest an alternative way to calculate the concentration index and a new matrix form approach, which can be applied both to the Gini and to the concentration index. For both indices, this approach yields expressions that are decomposable by groups and easily comparable. Our findings are illustrated by applying them to the Atkinson Plotnick Kakwani (APK) reranking measure. It is known that when a population is not homogeneous, the reranking measure can be decomposed following the suggestions of the conventional Gini index decomposition. We show that the reranking between groups and the reranking related with the overlapping term cannot be considered as measures of the tax system unfairness.

Suggested Citation

  • Achille VERNIZZI & Maria Giovanna MONTI & Mauro MUSSINI, 2010. "A Gini and concentration index decomposition with an application to the APK reranking measure," Departmental Working Papers 2010-010, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano, revised 13 Dec 2010.
    • Handle: RePEc:mil:wpdepa:2010-010
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    More about this item

    Keywords

    Inequality measure decomposition; reranking; reranking effect decomposition;
    All these keywords.

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • H23 - Public Economics - - Taxation, Subsidies, and Revenue - - - Externalities; Redistributive Effects; Environmental Taxes and Subsidies

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