{"title":"A quantum game model for dual channels under channel cooperation and service","authors":"Jiayu Shen, Lian Shi, Kai Zhu","doi":"10.1007/s11128-025-04926-z","DOIUrl":null,"url":null,"abstract":"<div><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></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 10","pages":""},"PeriodicalIF":2.2000,"publicationDate":"2025-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Quantum Information Processing","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s11128-025-04926-z","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
引用次数: 0
Abstract
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.
期刊介绍：
Quantum Information Processing is a high-impact, international journal publishing cutting-edge experimental and theoretical research in all areas of Quantum Information Science. Topics of interest include quantum cryptography and communications, entanglement and discord, quantum algorithms, quantum error correction and fault tolerance, quantum computer science, quantum imaging and sensing, and experimental platforms for quantum information. Quantum Information Processing supports and inspires research by providing a comprehensive peer review process, and broadcasting high quality results in a range of formats. These include original papers, letters, broadly focused perspectives, comprehensive review articles, book reviews, and special topical issues. The journal is particularly interested in papers detailing and demonstrating quantum information protocols for cryptography, communications, computation, and sensing.
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