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Antoine Augustin Cournot (1801–1877) first outlined his theory of competition in his 1838 volume Recherches sur les Principes Mathématiques de la Théorie des Richesses as a way of describing the competition with a market for spring water dominated by two suppliers (a duopoly). [3] The model was one of a number that Cournot set out ...
A Cournot duopoly is a model of strategic interaction between two firms where they simultaneously choose their output levels, assuming the rival's output level is fixed. The firms compete on quantity, and each firm attempts to maximize its profit given the other firm's output level.
The Cournot duopoly model developed in his book also introduced the concept of a (pure strategy) Nash equilibrium, the reaction function and best-response dynamics. Cournot believed that economists must utilize the tools of mathematics only to establish probable limits and to express less stable facts in more absolute terms.
In oligopoly theory, conjectural variation is the belief that one firm has an idea about the way its competitors may react if it varies its output or price. The firm forms a conjecture about the variation in the other firm's output that will accompany any change in its own output.
The first use of game-theoretic analysis was by Antoine Augustin Cournot in 1838 with his solution of the Cournot duopoly. The use of game theory in the social sciences has expanded, and game theory has been applied to political, sociological, and psychological behaviors as well. [67]
The first use of the Nash equilibrium was in the Cournot duopoly as developed by Antoine Augustin Cournot in his 1838 book. [4] Both firms produce a homogenous product: given the total amount supplied by the two firms, the (single) industry price is determined using the demand curve.
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The Cournot model and Bertrand model are the most well-known models in oligopoly theory, and have been studied and reviewed by numerous economists. [54] The Cournot-Bertrand model is a hybrid of these two models and was first developed by Bylka and Komar in 1976. [55] This model allows the market to be split into two groups of firms.