Comparing distribution functions is a key task in descriptive research and policy evaluation. In many applications, a reasonable refinement of second-degree stochastic dominance criterion is necessary to attain unambigous ranking of intersecting distribution functions. Although the literature offers dominance criteria of third or higher degree, these ranking criteria are rarely used because the...

Different social planners may have different opinions on the wellbeing of individuals under different social options (Roberts, 1980). If utilities are translationor ratio-scale measurable, or if the social ranking might be incomplete, or if interplanner comparability is allowed; then there exists non-dictatorial aggregation rules. We propose extensions, intersections, and mixtures of the Pareto...