  We analyze the welfare impact of a monopolist able to segment a multiproduct
market and offer differentiated price menus within each segment. We
characterize a family of extremal distributions such that all achievable
welfare outcomes can be reached by selecting segments from within these
distributions. This family of distributions arises as the solution to the
consumer maximizing distribution of values for multigood markets. With these
results, we analyze the effect of segmentation on consumer surplus and prices
in both interior and extremal markets, including conditions under which there
exists a segmentation benefiting all consumers. Finally, we present an
efficient algorithm for computing segmentations.
