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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.
    2. R.J. Aumann & S. Hart (ed.), 2002. "Handbook of Game Theory with Economic Applications," Handbook of Game Theory with Economic Applications, Elsevier, edition 1, volume 3, number 3.
    3. Sorin, Sylvain, 1992. "Repeated games with complete information," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 4, pages 71-107, Elsevier.
    4. Drew Fudenberg & David K. Levine, 1998. "The Theory of Learning in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061945, April.
    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, 2020. "Duopolistic Stackelberg game: investigation of complex dynamics and chaos control," Operational Research, Springer, vol. 20(3), pages 1685-1699, September.
    3. S. S. Askar & A. Al-khedhairi, 2019. "Cournot Duopoly Games: Models and Investigations," Mathematics, MDPI, vol. 7(11), pages 1-15, November.
    4. 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.
    5. 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.
    6. 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.
    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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