Because these focus on areas of disagreement they should be seen in context . I like the authors overall approach.
A democratic approach has already partly built into the design of the PDI. The weighting system assumes each person's preferences have equal value. There is no sociological or anthropological justification for such a valuation. It is a statement of aspiration rather than reality. It is normative, not descriptive of day to day reality.
Adjusting weightings according to the views of appropriate reference groups seems to me deeply problematic, and arbitrary. In extreme, there will always be a reference group where even the most obscure items will be seen as necessities. Demographically defined reference groups are not less arbitrary in their selection than political or economic ones. Analysing differences between groups, after a poverty figure has been calculated by a common weighting scheme seems to be another matter, and entirely worthwhile.
The use of the "don't have and don't want / don't have and don't want" question (part of the definition of the seen to be poor and feel poor) automatically means that very local criteria of poverty are taken into account in the measurement process. Presumably these would be influenced by various reference groups relevant to that persons life.
I don't think the choice needs to be between the MNI and the PDI, as you suggest on p31. My preference would be to keep the basic weighting system used by the PDI (but not adjusted by preferences of respondents' demographic group) but to include the 50% or more of respondents agreeing an item is a necessity as the definition of a necessity.
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