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Increasing Nth degree inequality

Jean-Pascal Gayant () and Nicolas Le Pape ()

Journal of Mathematical Economics, 2017, vol. 70, issue C, 185-189

Abstract: In this paper we define and introduce the notion of Nth degree inequality which is the particular case of Nth order stochastic dominance which preserves the (N−1) first moments. We exhibit that transfer à la Fishburn and Willig (1984) indeed generate decreases in Nth degree inequality. We then show that whereas Kolm and Atkinson indices are consistent with aversion to any degree of inequality, only a limited class of indices of the generalized entropy family is.

Keywords: Nth degree inequality; Downside inequality; Favourable composite transfer; Generalized entropy (search for similar items in EconPapers)
Date: 2017
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Handle: RePEc:eee:mateco:v:70:y:2017:i:c:p:185-189