The unidimensional Pigou-Dalton transfer principle demands that a regressive transfer in income--a transfer from worse-off (poor) to better-off (rich)--decreases social welfare. In a multidimensional setting the direct link between income (or any other attribute) and individual well-being is...

Different social planners may have different opinions on the well-being of individuals under different social options (Roberts, 1980). If utilities are translation- or ratio-scale measurable, or if the social ranking might be incomplete, or if interplanner comparability is allowed; then there...