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<p>Employing quantum mechanical principles, we construct a dynamic quantum Cournot duopoly game framework involving two public enterprises, characterized by heterogeneous strategic interactions between boundedly rational and adaptive players. Based on this theoretical framework, we first analyze the existence and stability of quantum Nash equilibria in the proposed model. Subsequently, we conduct numerical simulations to demonstrate chaotic dynamics through stability regions, bifurcation and chaos diagrams, phase portraits, and sensitivity to initial conditions. Furthermore, we utilize the delay feedback control method to stabilize the system and suppress chaotic behavior.</p>

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Chaotic dynamics of a quantum duopoly game between public enterprises under Cournot competition

  • 期刊论文

  • 发表日期：

    2025年7月21日

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  • Longfei Wei,
  • Shouli Wang,
  • Jing Wang

摘要

Employing quantum mechanical principles, we construct a dynamic quantum Cournot duopoly game framework involving two public enterprises, characterized by heterogeneous strategic interactions between boundedly rational and adaptive players. Based on this theoretical framework, we first analyze the existence and stability of quantum Nash equilibria in the proposed model. Subsequently, we conduct numerical simulations to demonstrate chaotic dynamics through stability regions, bifurcation and chaos diagrams, phase portraits, and sensitivity to initial conditions. Furthermore, we utilize the delay feedback control method to stabilize the system and suppress chaotic behavior.