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Nonlinear Cournot duopoly with implementation delays

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  • Matsumoto, Akio
  • Szidarovszky, Ferenc

Abstract

We study the effects of two delays on the local as well as on global stability of nonlinear Cournot duopoly dynamics. The two major findings are an analytical construction of the stability switching curve on which stability is lost and the numerical confirmation of the birth of aperiodic global dynamics when the stationary state is locally unstable. The delays matters and can generate various dynamics ranging from simple to complicated dynamics.

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  • Matsumoto, Akio & Szidarovszky, Ferenc, 2015. "Nonlinear Cournot duopoly with implementation delays," Chaos, Solitons & Fractals, Elsevier, vol. 79(C), pages 157-165.
    • Handle: RePEc:eee:chsofr:v:79:y:2015:i:c:p:157-165
    DOI: 10.1016/j.chaos.2015.05.010
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    References listed on IDEAS

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    1. Matsumoto, Akio & Szidarovszky, Ferenc, 2014. "Discrete and continuous dynamics in nonlinear monopolies," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 632-642.
    2. Howroyd, T. D. & Russell, A. M., 1984. "Cournot oligopoly models with time delays," Journal of Mathematical Economics, Elsevier, vol. 13(2), pages 97-103, October.
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    Cited by:

    1. Culda, Loredana Camelia & Kaslik, Eva & Neamţu, Mihaela & Sîrghi, Nicoleta, 2024. "Dynamics of a discrete-time mixed oligopoly Cournot-type model with three time delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 226(C), pages 524-539.
    2. Culda, Loredana Camelia & Kaslik, Eva & Neamţu, Mihaela, 2022. "Stability and bifurcations in a general Cournot duopoly model with distributed time delays," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    3. Luca Gori & Luca Guerrini & Mauro Sodini, 2017. "A characterisation of duopoly dynamics with frictions in production adjustments," Journal of Evolutionary Economics, Springer, vol. 27(5), pages 963-988, November.

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