The problem of necessary and sufficient conditions for the existence of a unique Cournot equilibrium has been rarely dealt with in the literature, To date there exists virtually only the formulation of the problem given by Kolstad and Mathiesen (1987). Yet several aspects of their approach are debatable. Here, a new formulation is proposed which considers sets of oligopolies rather than single oligopolies. This allows to obtain a new result which brings out the necessity of some important conditions assumed in Kolstad and Mathiesen and often employed to prove the existence of a Cournot equilibrium.
Necessary and sufficient conditions for the existence of a unique Cournot equilibrium / Federico Quartieri. - (2008).
Necessary and sufficient conditions for the existence of a unique Cournot equilibrium
Federico Quartieri
2008
Abstract
The problem of necessary and sufficient conditions for the existence of a unique Cournot equilibrium has been rarely dealt with in the literature, To date there exists virtually only the formulation of the problem given by Kolstad and Mathiesen (1987). Yet several aspects of their approach are debatable. Here, a new formulation is proposed which considers sets of oligopolies rather than single oligopolies. This allows to obtain a new result which brings out the necessity of some important conditions assumed in Kolstad and Mathiesen and often employed to prove the existence of a Cournot equilibrium.
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