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<p>In this paper, quantum game theory is applied to develop a dynamic model of the quantum Cournot triopoly game. First, we construct a nonlinear dynamic quantum Cournot triopoly game characterized by players with heterogeneous expectations. The three players are considered to be boundedly rational, naïve, and adaptive. Second, the local stability of the quantum equilibrium, the influence of quantum entanglement on stability region, and nonlinear dynamic behavior of the discrete dynamical system are analyzed. Numerical simulations are used to illustrate the stability region, bifurcation and chaos diagrams, strange attractors, and sensitive dependence on initial conditions. Finally, an appropriate control scheme is applied to stabilize the chaotic behavior at the quantum Nash equilibrium point.</p>

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Nonlinear dynamics of a quantum Cournot triopoly game with heterogeneous players

  • 期刊论文

  • 发表日期：

    2025年4月29日

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  • Longfei Wei,
  • Shouli Wang,
  • Zhenhua Bao

摘要

In this paper, quantum game theory is applied to develop a dynamic model of the quantum Cournot triopoly game. First, we construct a nonlinear dynamic quantum Cournot triopoly game characterized by players with heterogeneous expectations. The three players are considered to be boundedly rational, naïve, and adaptive. Second, the local stability of the quantum equilibrium, the influence of quantum entanglement on stability region, and nonlinear dynamic behavior of the discrete dynamical system are analyzed. Numerical simulations are used to illustrate the stability region, bifurcation and chaos diagrams, strange attractors, and sensitive dependence on initial conditions. Finally, an appropriate control scheme is applied to stabilize the chaotic behavior at the quantum Nash equilibrium point.