Poverty orderings and welfare dominance
type: Item
instance of: scholarly article
title: Poverty orderings and welfare dominance
zbMATH Open document ID: 0656.90025
DOI: 10.1007/BF00735760
published in: Social Choice and Welfare
publication date: 1988-01-01T00:00:00Z
review text: This paper examines the partial orderings of discrete distributions derived from various poverty indices and sets of welfare functions. The poverty ordering with respect to some index P is the ordering obtained when P ranks consistently over a range of admissible poverty lines. The poverty orderings derived from the headcount ratio, the per-capita income gap and another ``distribution-sensitive'' index are characterized in some detail when the poverty standard is allowed to take any positive value, and these orderings are shown to coincide with the natural interpretation of first, second and third degree ``welfare dominance'', respectively. Additional results are then obtained for the situation in which the admissible poverty lines cannot exceed some finite upper bound.
Mathematics Subject Classification ID: 91B82
Mathematics Subject Classification ID: 91B14
zbMATH DE Number: 4072670
zbMATH Keywords: partial orderings of discrete distributions
zbMATH Keywords: poverty indices
author: James E. Foster
author: Anthony Shorrocks
MaRDI profile type: Publication
cites work: On Inequality Comparisons
cites work: A Class of Decomposable Poverty Measures
cites work: Q5635232
cites work: Poverty: An Ordinal Approach to Measurement
cites work: Transfer Sensitive Inequality Measures
cites work: Poverty, Income Inequality, and Their Measures: Professor Sen's Axiomatic Approach Reconsidered
full work available at URL: https://doi.org/10.1007/bf00735760
OpenAlex ID: W4251398181
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description: scientific article; zbMATH DE number 4072670