Model Cournot. Stackelberg duopoly also called Stackelberg competition is a model of imperfect competition based on a noncooperative game It was developed in 1934 by Heinrich Stackelberg in his “Market Structure and Equilibrium” and represented a breaking point in the study of market structure particularly the analysis of duopolies since it was a model based on different starting.
What are the firms’ outputs in a Nash equilibrium of Cournot’s model? First find the firms’ best response functions If firm 1 chooses the output y 1 its profit is y 1 (120 y 1 y 2) y 1 2 Taking the derivative of this profit with respect to y 1 (holding y 2 constant) and setting the derivative equal to zero we obtain 120 2y 1 y 2 2y 1 = 0 or y 1 = (120 y 2)/4 Thus the best response function.
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In the Cournot model it is the quantity not price which is adjusted with one firm altering its output on the assumption that his rival’s output will remain unchanged Since both firms reason in this way output will eventually be expanded to the point where the firms share the market equally and both are able to make only normal profits The original model was presented in a simple way by.
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The Stackelberg model can be solved to find the subgame perfect Nash equilibrium or equilibria (SPNE) In Cournot competition it is the simultaneity of the game (the imperfection of knowledge) that results in neither player (ceteris paribus) being at a disadvantage Game theoretic considerations As mentioned imperfect information in a leadership game reduces to Cournot.