Poisson–Cournot games

Abstract We construct a Cournot model with uncertainty in the number of firms industry. such an as Poisson game and characterize set equilibria after deriving novel properties distribution. When marginal costs are zero, increases expected ( n ) for $$n\ge 3$$ n ≥ 3 every equilibrium exhibits overproduction relative to deterministic population size. For fixed , is robust sufficiently small costs. The can be Pareto ranked. If even consumer surplus induced by lowest quantity larger than without uncertainty.