On a functional equation related to income inequality measures |
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| Authors: | C. T. Ng |
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| Affiliation: | (1) Department of Pure Mathematics, University of Waterloo, N2L 3G1 Waterloo, Ontario, Canada |
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| Abstract: | The functional equationg(u, x)+g(v, y)=g(u, y)+g(v, x) for allu, v, x, y>0 withu+v=x+y is initiated by F. A. Cowell and A. F. Shorrocks in their research on the aggregation of inequality indices. We solve the equation by extension theorems.Dedicated to Professor Janos Aczél on his 60th birthday |
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| Keywords: | Primary 39B40 |
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