Determining the optimal selling strategy for a multiproduct firm facing con
sumers with unobservable tastes is a difficult task. This paper aims to sho
w how almost optimal nonlinear tariffs can often be found when the number o
f products is large. Moreover, such tariffs take a simple form: (i) when ta
ste parameters are independently distributed across products, the almost op
timal tariff is a single cost-based two-part tariff which can extract virtu
ally all consumer surplus; (ii) when tastes are correlated across products,
perhaps because of income differences across consumers, the almost optimal
tariff can be implemented as a menu of two-part tariffs each of which has
prices proportional to marginal costs.