For a nonexcludable public good with benefit and cost functions independent of the number of participants, this paper studies second-best alocations under Bayesian interium incentive compatibility and interim individual rationality. As the number of participants becomes large, second-best provision levels converge in distribution to first-best levels if the latter are bounded. Second-best provision become large in absolute terms but small relative to first-best levels if benefit and cost functions are isoelastic. In contrast, for an excludable public good, the ratio of second-best to first-best levels is bounded away from zero.
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