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Comparing monopoly bundling with separate sales is relatively straightforward in an environment with a large number of goods. We show that results similar to those for the asymptotic case can be obtained in the more realistic case with a given finite number of goods, provided that the distributions of valuations are symmetric and log‐concave.

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Constrained efficient provision of an excludable public good is studied in a model where preferences are private information. The provision level is asymptotically deterministic, making it possible to approximate the optimal mechanism with a mechanism that provides a fixed quantity of the good and charges fixed user fees for access. In general, the fixed fees involve third degree price discrimination, but, if names are uninformative about preferences, the analysis provides a justification for average cost pricing.