古诺竞争下公共企业量子双寡头博弈的混沌动力学

IF 2.2 3区物理与天体物理 Q1 PHYSICS, MATHEMATICAL

Quantum Information Processing Pub Date : 2025-07-21 DOI:10.1007/s11128-025-04848-w

Longfei Wei, Shouli Wang, Jing Wang

{"title":"古诺竞争下公共企业量子双寡头博弈的混沌动力学","authors":"Longfei Wei, Shouli Wang, Jing Wang","doi":"10.1007/s11128-025-04848-w","DOIUrl":null,"url":null,"abstract":"<div><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></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 8","pages":""},"PeriodicalIF":2.2000,"publicationDate":"2025-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Chaotic dynamics of a quantum duopoly game between public enterprises under Cournot competition\",\"authors\":\"Longfei Wei, Shouli Wang, Jing Wang\",\"doi\":\"10.1007/s11128-025-04848-w\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><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></div>\",\"PeriodicalId\":746,\"journal\":{\"name\":\"Quantum Information Processing\",\"volume\":\"24 8\",\"pages\":\"\"},\"PeriodicalIF\":2.2000,\"publicationDate\":\"2025-07-21\",\"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/s11128-025-04848-w\",\"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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Quantum Information Processing","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s11128-025-04848-w","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

摘要

运用量子力学原理，构建了一个涉及两家公共企业的动态量子古诺双寡头博弈框架，其特征是有限理性和自适应参与者之间的异质性战略互动。在此理论框架下，我们首先分析了模型中量子纳什均衡的存在性和稳定性。随后，我们进行了数值模拟，通过稳定区域、分岔和混沌图、相位肖像和对初始条件的敏感性来展示混沌动力学。此外，我们利用延迟反馈控制方法来稳定系统并抑制混沌行为。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

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

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Quantum Information Processing 物理-物理：数学物理

CiteScore

4.10

自引率

20.00%

发文量

337

审稿时长

4.5 months

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.