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Controls of the complex dynamics of a multi-market Cournot model

Author

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  • Ahmed, E.
  • Elettreby, M.F.

Abstract

In this paper, a multi-market Cournot game is proposed based on a specific inverse demand function. The game is studied statically and dynamically. Puu's incomplete information approach, as a realistic method, is used to contract the corresponding dynamical model under this function. Therefore, some stability analysis is carried out on the model to detect the stability and instability conditions of the system's Nash equilibrium. Based on that analysis some dynamic phenomena such as bifurcation and chaos are found. Under certain assumption, chaos control is performed in order to control the monopolistic model. Furthermore, a dynamic multi-market Cournot model is introduced.

Suggested Citation

  • Ahmed, E. & Elettreby, M.F., 2014. "Controls of the complex dynamics of a multi-market Cournot model," Economic Modelling, Elsevier, vol. 37(C), pages 251-254.
  • Handle: RePEc:eee:ecmode:v:37:y:2014:i:c:p:251-254
    DOI: 10.1016/j.econmod.2013.11.016
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    References listed on IDEAS

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    1. Avinash Dixit, 1979. "A Model of Duopoly Suggesting a Theory of Entry Barriers," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 20-32, Spring.
    2. Subhadip Chakrabarti & Hans Haller, 2011. "An Analysis Of Advertising Wars," Manchester School, University of Manchester, vol. 79(1), pages 100-124, January.
    3. Spence, Michael, 1976. "Product Differentiation and Welfare," American Economic Review, American Economic Association, vol. 66(2), pages 407-414, May.
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    Cited by:

    1. Marcelo J. Villena & Axel A. Araneda, 2015. "Dynamics and Stability in Retail Competition," Papers 1510.04550, arXiv.org, revised Mar 2016.
    2. Villena, Marcelo J. & Araneda, Axel A., 2017. "Dynamics and stability in retail competition," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 134(C), pages 37-53.
    3. Thomas Vallée & Gino Baudry & Patrice Guillotreau, 2017. "To discard or to coproduce by recycling waste: An output constraint analysis," Working Papers halshs-01591879, HAL.

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