It is well established that the provision of a pure public good is increasing in group size if the good is normal. What I show is that if the good exhibits even a small degree of rivalry, then the individual level of consumption of the public good falls to 0 in a large group. Thus, a strong version of the Olson hypothesis applies to anything other than an pure public good. Technically, what is
... [Show full abstract] important is the nature of the public good as the group size grows large. If the good approaches a pure public good in the limit, we will not obtain a strong version of the Olson hypothesis, but if the commodity exhibits any degree of rivalry in the limit, then we do obtain a strong version of his hypothesis.