Journal of Economics

, Volume 77, Supplement 1, pp 119–161 | Cite as

Inverse stochastic dominance, inequality measurement and Gini indices

Inequality Measurement, Decomposition and Redistribution


We investigate the relationship between the third degree inverse stochastic dominance criterion introduced in Muliere and Scarsini (1989) and inequality dominance when Lorenz curves intersect. We propose a new definition of transfer sensitivity aimed at strengthening the Pigou-Dalton Principle of Transfers. Our definition is dual to that suggested by Shorrocks and Foster (1987). It involves a regressive transfer and a progressive transfer both from the same donor, leaving the Gini index unchanged. We prove that finite sequences of these transfers and/or progressive transfers characterize the third degree inverse stochastic dominance criterion. This criterion allows us to make unanimous inequality judgements even when Lorenz curves intersect. The Gini coefficient becomes relevant in these cases in order to conclusively rank the distributions.


Gini index Inverse stochastic dominance Intersecting Lorenz curves 

JEL Classification

D 63 


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Copyright information

© Springer-Verlag 2002

Authors and Affiliations

  1. 1.School of EconomicsUniversity of NottinghamNottinghamUK

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