We investigate private provision of discrete public goods under refund and cost-sharing. If it is commonly believed that individuals may be warm-glow altruists and the group-size is a Poisson random variable, then the equilibrium distribution of collected contributions is uniquely determined. If...

This paper shows that when agents on both sides of the market are heterogeneous, varying in their costs of investment, ex ante investments by firms and workers (or buyers and sellers more generally) may be too high when followed by stochastic matching and bargaining over quasi-rents. The...