Stochastic dominance relations for integer variables
type: Item
instance of: scholarly article
title: Stochastic dominance relations for integer variables
zbMATH Open document ID: 1248.91035
author: Satya R. Chakravarty
author: Claudio Zoli
published in: Journal of Economic Theory
publication date: 2012-07-13T00:00:00Z
Mathematics Subject Classification ID: 91B14
Mathematics Subject Classification ID: 91B06
zbMATH DE Number: 6055194
zbMATH Keywords: stochastic dominance
zbMATH Keywords: generalized Lorenz curve
zbMATH Keywords: grids
zbMATH Keywords: measures
zbMATH Keywords: majorization
MaRDI profile type: Publication
full work available at URL: j.jet.2011.05.018
OpenAlex ID: W2051395466
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DOI: 10.1016/J.JET.2011.05.018
review text: Stochastic dominance analysis is frequently employed for ranking alternative social states. In many applications the sum of the scores need not be constant. The objective of this paper is to extend the integer-majorization analysis to the case of variable-sum vectors.NEWLINENEWLINEThe most innovative feature of this article is the demonstration that if one profile of functioning scores integer-generalized Lorenz dominates another, then the former can be obtained from the latter by a sequence of transformations satisfying monotonicity and non-increasingness of marginal social evaluations, where monotonicity demands that if the functioning score of a person increases by one, then the resulting profile of scores cannot have a lower social evaluation than the original one.NEWLINENEWLINEAnother innovative aspect is the determination of the minimal number of transformations that are necessary to move from one distribution to another, where the latter integer-generalized Lorenz dominates the former.NEWLINENEWLINEThe authors use an axiomatic framework to establish equivalence between several intuitively reasonable conditions.
description: scientific article; zbMATH DE number 6055194