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Inequality Aversion and the Extended Gini in the Light of a Two-person Cake-sharing Problem

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  • Luisa Tibiletti
  • S. Subramanian

Abstract

This brief note aims to communicate, in simple terms, the "meaning" of the family of "Extended" Gini coefficients of inequality, in terms of the shares accruing to the agents in an elementary two-person cake-sharing problem. In the process, a natural notion of the "potential fairness" of a distribution, as well as the notion of "distribution sensitivity", are sought to be explicated in easily accessible terms.

Suggested Citation

  • Luisa Tibiletti & S. Subramanian, 2015. "Inequality Aversion and the Extended Gini in the Light of a Two-person Cake-sharing Problem," Journal of Human Development and Capabilities, Taylor & Francis Journals, vol. 16(2), pages 237-244, May.
    • Handle: RePEc:taf:jhudca:v:16:y:2015:i:2:p:237-244
    DOI: 10.1080/19452829.2014.956709
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    References listed on IDEAS

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    1. Kolm, Serge-Christophe, 1976. "Unequal inequalities. II," Journal of Economic Theory, Elsevier, vol. 13(1), pages 82-111, August.
    2. Weymark, John A., 1981. "Generalized gini inequality indices," Mathematical Social Sciences, Elsevier, vol. 1(4), pages 409-430, August.
    3. Kolm, Serge-Christophe, 1976. "Unequal inequalities. I," Journal of Economic Theory, Elsevier, vol. 12(3), pages 416-442, June.
    4. Yitzhaki, Shlomo, 1983. "On an Extension of the Gini Inequality Index," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(3), pages 617-628, October.
    5. Yoram Amiel & John Creedy & Stan Hurn, 1999. "Measuring Attitudes Towards Inequality," Scandinavian Journal of Economics, Wiley Blackwell, vol. 101(1), pages 83-96, March.
    6. Rolf Aaberge, 2000. "Characterizations of Lorenz curves and income distributions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(4), pages 639-653.
    7. Donaldson, David & Weymark, John A., 1980. "A single-parameter generalization of the Gini indices of inequality," Journal of Economic Theory, Elsevier, vol. 22(1), pages 67-86, February.
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    Cited by:

    1. John Creedy, 2016. "Interpreting inequality measures and changes in inequality," New Zealand Economic Papers, Taylor & Francis Journals, vol. 50(2), pages 177-192, August.
    2. John Creedy & S. Subramanian, 2023. "Exploring A New Class of Inequality Measures and Associated Value Judgements: Gini and Fibonacci-Type Sequences," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 85(1), pages 110-131, May.
    3. Sreenivasan Subramanian, 2015. "More tricks with the lorenz curve," Economics Bulletin, AccessEcon, vol. 35(1), pages 580-589.

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