 One way to respond to the impossibility results of preference aggregation is to argue that mere rankings of alternatives in an order of preference provide insufficient information for making satisfactory collective decisions. The idea is that if we enrich the informational basis of social choice, we can avoid some of the negative results. This can be done in at least two ways. The first, which has received the most attention, is to replace preference orderings with richer welfare measures, which may allow interpersonal comparisons. The bulk of this section will be devoted to this proposal. A second, recently popular proposal is to replace preference orderings with qualitative ratings of the alternatives. This will be discussed at the end of the section.