An elementary characterization of the Gini index |
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| Institution: | 1. Facultad de Economía, UASLP, San Luis Potosí, Mexico;2. CIMAT, Guanajuato, Mexico;1. Faculty of Business and Commerce, Keio University, 2-15-45 Mita, Minato-ku, Tokyo, 108-8345, Japan;2. Department of Statistics, The University of Chicago, 5734 S. University Avenue Chicago, IL 60637, United States;1. Department of Mathematics, University of Osijek, Trg Ljudevita Gaja 6, 31000 Osijek, Croatia;2. School of Mathematics, Cardiff University, Senghennydd Road, Cardiff, Wales, CF24 4AG, UK;3. Department of Mathematics and Statistics, Boston University, Boston, MA 02215, USA;1. IPAG Business School, France;2. PSE-Université de Paris I, France;3. Université de Paris I, France;4. Paris School of Economics, France;5. Ghent University, Belgium |
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| Abstract: | The Gini index is one of the most used indicators of social and economic inequality. In this paper we characterize the Gini index as the unique function that satisfies the properties of scale independence, symmetry, standardization and comonotone separability. Furthermore, we propose a simpler way to compute it. |
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