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2003•jOURNAL OF southwest University for NationalitiesRequires access

A dynamic analysis of generalized Cournot model

Xiao Fan-ping

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Abstract

In this paper the dynamic Cournot model with firms more than two, which is generalized from the Cournot model for duopoly market, is considered. We propose a mathematical formula of the general dynamic Cournot model, and which shows with some complex deduction that the existence of the equilibrium solution of this model is always kept. Further, we obtain the formula of the equilibrium solution. These results have essential significance to enrich the theory of Cournot model.

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What this paper is about

In this paper the dynamic Cournot model with firms more than two, which is generalized from the Cournot model for duopoly market, is considered. We propose a mathematical formula of the general dynamic Cournot model, and which shows with some complex deduction that the existence of the equilibrium solution of this model is always kept. Further, we obtain the formula of the equilibrium solution. These results have essential significance to enrich the theory of Cournot model.

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Available abstract

In this paper the dynamic Cournot model with firms more than two, which is generalized from the Cournot model for duopoly market, is considered. We propose a mathematical formula of the general dynamic Cournot model, and which shows with some complex deduction that the existence of the equilibrium solution of this model is always kept. Further, we obtain the formula of the equilibrium solution. These results have essential significance to enrich the theory of Cournot model.

Key concepts: Cournot competition, Duopoly, Bertrand competition, Mathematical economics, General equilibrium theory, Economics, Equilibrium solution, Mathematics

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