Abstract
This paper characterizes unit-consistent poverty indices. The unit consistency axiom requires that poverty rankings (not poverty indices) remain unaffected when all incomes and the poverty lines are expressed in different measuring units. We consider two general frameworks of poverty measurement: the semi-individualistic framework that includes all decomposable indices and all rank-based indices; and the Dalton–Hagenaars framework that contains a subset of decomposable indices. Within the semi-individualistic framework, classes of unit-consistent poverty indices can be characterized for different value judgements about poverty measurement. Within the Dalton-Hagenaars framework, unit-consistent poverty indices are completely characterized without invoking any value judgement a priori.
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I thank Peter Lambert, Mike Hoy, Thesia Garner and an anonymous referee for their very helpful comments and suggestions.
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Zheng, B. Unit-Consistent Poverty Indices. Economic Theory 31, 113–142 (2007). https://doi.org/10.1007/s00199-006-0085-7
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DOI: https://doi.org/10.1007/s00199-006-0085-7
Keywords
- Semi-individualistic poverty indices
- Dalton-Hagenaars poverty indices
- Unit consistency
- Scale invariance
- Decomposability