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Dynamical systems and the arising of cooperation in a Cournot duopoly

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  • Cafagna, Vittorio
  • Coccorese, Paolo

Abstract

Using the approach first introduced by Smale, we study a duopolistic market where agents have bounded memory and rationality. A stable cooperative equilibrium is achieved by employing a dynamical system that takes into account repeated interactions between firms and a set of behavioural rules.

Suggested Citation

  • Cafagna, Vittorio & Coccorese, Paolo, 2005. "Dynamical systems and the arising of cooperation in a Cournot duopoly," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 655-664.
    • Handle: RePEc:eee:chsofr:v:25:y:2005:i:3:p:655-664
    DOI: 10.1016/j.chaos.2004.11.051
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    References listed on IDEAS

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    1. Fudenberg, Drew & Levine, David, 1998. "Learning in games," European Economic Review, Elsevier, vol. 42(3-5), pages 631-639, May.
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    5. Smale, Steve, 1980. "The Prisoner's Dilemma and Dynamical Systems Associated to Non-Cooperative Games," Econometrica, Econometric Society, vol. 48(7), pages 1617-1634, November.
    6. Elsayed Ahmed & Ahmed Sadek Hegazi, 1999. "On discrete dynamical systems associated to games," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 2(04), pages 423-430.
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    Cited by:

    1. Ding, Zhanwen & Shi, Guiping, 2009. "Cooperation in a dynamical adjustment of duopoly game with incomplete information," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 989-993.
    2. S. S. Askar & A. Al-khedhairi, 2019. "Cournot Duopoly Games: Models and Investigations," Mathematics, MDPI, vol. 7(11), pages 1-15, November.
    3. Askar, S.S. & Alshamrani, Ahmad M. & Alnowibet, K., 2016. "The arising of cooperation in Cournot duopoly games," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 535-542.
    4. S. S. Askar, 2020. "Duopolistic Stackelberg game: investigation of complex dynamics and chaos control," Operational Research, Springer, vol. 20(3), pages 1685-1699, September.
    5. 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.
    6. Arranz Sombría, M. Rosa, 2011. "Cooperación en modelos de Cournot con información incompleta/Cooperation in Cournot’s Models with Incomplete Information," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 29, pages 397(18á)-39, Abril.
    7. Askar, S.S., 2018. "Tripoly Stackelberg game model: One leader versus two followers," Applied Mathematics and Computation, Elsevier, vol. 328(C), pages 301-311.

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