We study environments where a production process is jointly shared by a fin
ite group of agents. The social decision involves the determination of inpu
t contribution and output distribution. We define a competitive solution wh
en there is decreasing-returns-to-scale which leads to a Pareto optimal out
come. Since there is a finite number of agents, the competitive solution is
prone to manipulation, mie construct a mechanism for which the set of Nash
equilibria coincides with the set of competitive solution outcomes. We def
ine a marginal-cost-pricing equilibrium (MCPE) solution for environments wi
th increasing returns to scale. These solutions are Pareto optimal under ce
rtain conditions. We construct another mechanism that realizes the MCPE. (C
) 1999 Elsevier Science S.A. All rights reserved. JEL classification: D51;
D51; D78.