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<p>Quantum game theory merges game theory and quantum mechanics to explore decision-making using quantum principles like superposition and entanglement. This study examines a dual-channel supply chain with one retailer and one manufacturer. Applying the Li-Du quantization scheme, we develop a dynamic Cournot model incorporating bounded rationality and analyze the local stability of its quantum Nash equilibrium. Numerical simulations reveal behaviors such as stability regions, chaos, bifurcations, and sensitivity to starting conditions. Findings show that low adjustment speeds maintain system stability and mutual benefit, while greater quantum entanglement degree improves stability and reduces sensitivity. However, overly high service levels in one channel harm the other.</p>

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A quantum game model for dual channels under channel cooperation and service

  • 期刊论文

  • 发表日期：

    2025年9月23日

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  • Jiayu Shen,
  • Lian Shi,
  • Kai Zhu

摘要

Quantum game theory merges game theory and quantum mechanics to explore decision-making using quantum principles like superposition and entanglement. This study examines a dual-channel supply chain with one retailer and one manufacturer. Applying the Li-Du quantization scheme, we develop a dynamic Cournot model incorporating bounded rationality and analyze the local stability of its quantum Nash equilibrium. Numerical simulations reveal behaviors such as stability regions, chaos, bifurcations, and sensitivity to starting conditions. Findings show that low adjustment speeds maintain system stability and mutual benefit, while greater quantum entanglement degree improves stability and reduces sensitivity. However, overly high service levels in one channel harm the other.