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Inequality and negative income

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  • Stich, Andreas

Abstract

This paper deals with some problems in the measurement of inequality when negative incomes are allowed. A helpful axiom is defined, called the Greatest Gets More axiom. Using this axiom it can be shown that the properties of some inequality measures depend on whether there are negative incomes or not. In this paper for the intermediate measures of Eichhorn and the centrist measures of Kolm a threshold value is given above which the Greatest Gets More axiom holds. Furthermore, a simple proof is given for the fact that there exists no function which fulfills the three axioms Pigou-Dalton, homogeneity and additive invariance when the data contain negative incomes. --

Suggested Citation

  • Stich, Andreas, 1996. "Inequality and negative income," Discussion Papers in Econometrics and Statistics 4/96, University of Cologne, Institute of Econometrics and Statistics.
  • Handle: RePEc:zbw:ucdpse:9604
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    Cited by:

    1. Giorgio Calcagnini & Francesco Perugini, 2016. "A Well-Being Indicator for the Italian Provinces a," Working Papers 1608, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2016.
    2. repec:taf:cijwxx:v:33:y:2017:i:5:p:770-787 is not listed on IDEAS
    3. Nkonya, Ephraim & Phillip, Dayo & Mogues, Tewodaj & Pender, John & Kato, Edward, 2012. "Impacts of Community-driven Development Programs on Income and Asset Acquisition in Africa: The Case of Nigeria," World Development, Elsevier, vol. 40(9), pages 1824-1838.
    4. Emanuela Raffinetti & Elena Siletti & Achille Vernizzi, 2015. "On the Gini coefficient normalization when attributes with negative values are considered," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 24(3), pages 507-521, September.
    5. Nkonya, Ephraim & Phillip, Dayo & Mogues, Tewodaj & Pender, John & Yahaya, Muhammed Kuta & Adebowale, Gbenga & Arokoyo, Tunji & Kato, Edward, 2008. "From the ground up: Impacts of a pro-poor community-driven development project in Nigeria," IFPRI discussion papers 756, International Food Policy Research Institute (IFPRI).
    6. repec:psl:pslqrr:2017:22 is not listed on IDEAS
    7. Peter Lindner, 2015. "Factor decomposition of the wealth distribution in the euro area," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 42(2), pages 291-322, May.
    8. Loek Groot & Erik Zonneveld, 2013. "European Union Budget Contributions and Expenditures: A Lorenz Curve Approach," Journal of Common Market Studies, Wiley Blackwell, vol. 51(4), pages 649-666, July.

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