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Analysis of Nonlinear Duopoly Game: A Cooperative Case

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  • S. S. Askar
  • Ahmad M. Alshamrani
  • K. Alnowibet

Abstract

We make further attempts to investigate equilibrium stability of a nonlinear Cournot duopoly game. Our studies in this paper focus on the cooperation that may be obtained among duopolistic firms. Discrete time scales under the assumption of unknown inverse demand function and linear cost are used to build our models in the proposed games. We introduce and study here an adjustment dynamic strategy beside the so-called tit-for-tat strategy. For each model, the stability analysis of the fixed point is analyzed. Numerical simulations are carried out to show the complex behavior of the proposed models and to point out the impact of the models’ parameters on the cooperation.

Suggested Citation

  • S. S. Askar & Ahmad M. Alshamrani & K. Alnowibet, 2015. "Analysis of Nonlinear Duopoly Game: A Cooperative Case," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-5, January.
    • Handle: RePEc:hin:jnddns:528217
    DOI: 10.1155/2015/528217
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    Cited by:

    1. S. S. Askar & A. Al-khedhairi, 2019. "Cournot Duopoly Games: Models and Investigations," Mathematics, MDPI, vol. 7(11), pages 1-15, November.
    2. Askar, S.S. & Alnowibet, K., 2016. "Cooperation versus noncooperation: Cournot duopolistic game based on delay and time-dependent parameters," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 580-584.

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