We analyze the private provision of discrete public good games with incompl
ete information and continuous contributions. To use the terminology of [Ad
mati and Perry, Review of Economic Studies 58 (1991) 259], we consider cont
ribution and subscription games. In the former, contributions are not refun
ded if the project is not completed, while in the latter they are. We show
that the contribution game has only the strong free riding equilibria if co
st is high enough. Thus, in this range of cost, the subscription game is su
perior to the contribution game. We present several interesting equilibria
of both types of games and give a new proof of the ex-post inefficiency of
the contribution and the subscription games. (C) 2001 Elsevier Science B.V.
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