In this note I give a full characterization of all deterministic direct mechanisms in the public good provision problem with independent private values that are dominant strategy incentive compatible, ex-post individually rational, and ex-post budget balanced.

Consider a mechanism for the binary public good provision problem that is dominant strategy incentive compatible (DSIC), ex-post individually rational (EPIR), and ex-post budget balanced (EPBB). Suppose this mechanism has the additional property that the utility from participating in the...