Analytic solutions of nonlinear Cournot duopoly game

Akio Matsumoto and Mami Suzuki

Discrete Dynamics in Nature and Society, 2005, vol. 2005, 1-15

Abstract:

We construct a Cournot duopoly model with production externality in which reaction functions are unimodal. We consider the case of a Cournot model which has a stable equilibrium point. Then we show the existence of analytic solutions of the model. Moreover, we seek general solutions of the model in the form of nonlinear second-order difference equation.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:710857

DOI: 10.1155/DDNS.2005.119

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