Summary. This paper attempts to merge two strands of the literature on relative deprivation and generalized Gini indices by designing a new class of generalized Gini indices based on the concept of relative deprivation. In this connection, rank-dependent marginal deprivation functions are introduced. A new class of generalized Gini indices is derived axiomatically. It turns out to be the sum of modified versions of the S-Gini and the I-Gini introduced by Donaldson and Weymark (1980).
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Received: December 23, 1998; revised version: November 9, 1999
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Wang, Yq., Tsui, Ky. A new class of deprivation-based generalized Gini indices. Econ Theory 16, 363–377 (2000). https://doi.org/10.1007/PL00004088
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DOI: https://doi.org/10.1007/PL00004088