 One of the problems with this approach, however, is that if the interpersonal comparisons are incomplete they will not be able to produce a complete social ordering. As Sen points out, this will lead to a maximal set of alternatives where no alternative is dominated by any other within the set but also where no particular alternative is optimal (Sen, 1997). Instead of solving the aggregation problem, then, interpersonal comparisons may only be able to reduce the set of alternatives without being able to complete the ordering of alternatives.