Dominant Strategy Compromises

We study dominant strategy implementation in a variant of the canonical public good provision model, as proposed by Borgers and Postl (2009). In this set up, we fully characterize the set of budget-balanced dominant strategy deterministric mechanisms, which are simple threshold rules. For probabilistic mechanisms that are continuously differentiable we provide a necessary and sufficient condition for dominant strategy implementation. When allowing for discontinuities in the mechanism, our necessary condition remains valid, but additional requirements must be met in order to ensure sufficiency.