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Chaos Control on a Duopoly Game with Homogeneous Strategy

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  • Manying Bai
  • Yazhou Gao

Abstract

We study the dynamics of a nonlinear discrete-time duopoly game, where the players have homogenous knowledge on the market demand and decide their outputs based on adaptive expectation. The Nash equilibrium and its local stability are investigated. The numerical simulation results show that the model may exhibit chaotic phenomena. Quasiperiodicity is also found by setting the parameters at specific values. The system can be stabilized to a stable state by using delayed feedback control method. The discussion of control strategy shows that the effect of both firms taking control method is better than that of single firm taking control method.

Suggested Citation

  • Manying Bai & Yazhou Gao, 2016. "Chaos Control on a Duopoly Game with Homogeneous Strategy," Discrete Dynamics in Nature and Society, Hindawi, vol. 2016, pages 1-7, July.
    • Handle: RePEc:hin:jnddns:7418252
    DOI: 10.1155/2016/7418252
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    Cited by:

    1. Long, Jianjun & Wang, Fenglian, 2024. "Complexity of a two-stage R&D game within a cluster supply chain considering vertical R&D spillovers, effective information, and government subsidies," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 221(C), pages 606-621.
    2. Garmani, Hamid & Ait Omar, Driss & El Amrani, Mohamed & Baslam, Mohamed & Jourhmane, Mostafa, 2020. "Analysis of a dynamics duopoly game with two content providers," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).

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