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Analytic solutions of nonlinear Cournot duopoly game

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  • Akio Matsumoto
  • Mami Suzuki

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.

Suggested Citation

  • Akio Matsumoto & Mami Suzuki, 2005. "Analytic solutions of nonlinear Cournot duopoly game," Discrete Dynamics in Nature and Society, Hindawi, vol. 2005, pages 1-15, January.
    • Handle: RePEc:hin:jnddns:710857
    DOI: 10.1155/DDNS.2005.119
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