A Generalized Oligopoly Model

This paper generalizes and unifies the traditional quantity competition oligopoly models of Cournot and Stackelberg. Traditional oligopoly models predict that, under constant marginal costs, there will only be one market share (Cournot) or a single firm with a large market share and all others with the same market share (Stackelberg). Without altering the basic assumption set, in particular the assumptions of common marginal cost functions, perfect information and linear demand, the paper presents a general model that may be useful to explain many real‐life situations of oligopoly competition, where many different market shares may coexist. Finally, it is shown that certain existing social welfare results are robust to the generalization.