Model Cournot. Cournot’s model leads to a stable equilibrium However his model may be criticized on several accounts The behavioural pattern of firms is naive Firms do not learn from past miscalculations of competitors’ reactions Although the quantity produced by the competitors is at each stage assumed constant a quantity competition emerges which drives P down towards the.
The model was formulated in 1883 by Bertrand in a review of Antoine Augustin Cournot‘s book Recherches sur les Principes Mathématiques de la Théorie des Richesses (1838) in which Cournot had put forward the Cournot model Cournot argued that when firms choose quantities the equilibrium outcome involves firms pricing above marginal cost and.
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Cournot‘s model has had some modifications over the past century most notably due to the work of John Nash which is why the Cournot equilibrium is also called the CournotNash equilibrium Cournot Competition Theory Cournot competition theory is an economic model that describes how two rival companies can compete when they are offering the same.
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Common models that explain oligopoly output and pricing decisions include cartel model Cournot model Stackelberg model Bertrand model and contestable market theory The reason there are more than one model of oligopoly is that the interaction between firms is very complex It depends on whether the product is homogeneous or differentiated whether there is.
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This model was developed by the German economist Heinrich von Stackelberg and is an extension of Cournot’s model It is assumed by von Stackelberg that one duopolist is sufficiently sophisticated to recognise that his competitor acts on the Cournot assumption This recognition allows the sophisticated duopolist to determine the reaction curve of his rival and incorporate it.
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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.