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Notes on the postulate of the monotonicity in distance in inequality

Satya R. Chakravarty,Palash Sarkar

Bulletin of Economic Research（2022）

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Abstract
In this paper, we strengthen Cowell and Flachaire's observation regarding the failure to satisfy Cowell's "monotonicity in distance" postulate by several well-known inequality indices. We also identify a general analytical reason for this failure to arise.
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Key words
Bonferroni index, Gini index, generalized entropy family, monotonicity in distance
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