Setting weights in multidimensional indices of well-being

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On Weighting the Components of the Human Development Index: A Statistical Justification (2011, background): “Some also argue that the implicit trade-offs implied by these weights are not transparent and may imply questionable value judgments (for example, Ravallion, 1997; Decancq and Lugo, 2008).”
An automatic-democratic approach to weight setting for the new human development index (2012, unknown): “But as Decancq and Lugo (2008) point out The main source of concern with participatory methods relates to the selection of participants, a concern that holds true for any sets of groups (experts, representative individuals, and policy-makers).”