Surplus sharing in Cournot oligopoly

We characterize equilibria of oligopolistic markets where identical rms with constant marginal cost compete a' la Cournot. For given maximal willingness to pay and maximal total demand, we rst identify all combinations of equilibrium consumer surplus and industry prot that can arise from arbitrary demand functions. Then, as a further restriction, we x the average willingness to pay above marginal cost (i.e., rst-best surplus) and identify all possible triples of consumer surplus, industry prot and deadweight loss.