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The basic ideas of Cournot and those who came after him are related to the recent work of Nash and his notion of an “equilibrium point.” It is shown that the Nash equilibrium point incorporates the main contribution of Cournot to the solution of the duopoly problem and that the major criticism that may be made against the Cournot equilibrium may also be made against the Nash equilibrium. It is then indicated to what use this weakness might be put in the study of bargaining.