信息优势对非线性需求下双头垄断竞争动态的影响

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-10-10 DOI:10.1016/j.cnsns.2024.108390

Xiaoliang Li , Bo Li , Zohreh Eskandari

{"title":"信息优势对非线性需求下双头垄断竞争动态的影响","authors":"Xiaoliang Li , Bo Li , Zohreh Eskandari","doi":"10.1016/j.cnsns.2024.108390","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, we focus on the impact of one firm’s information advantage over the other on the dynamic behavior of duopolistic competition. We establish conditions for the local stability of the model and find that more information does not necessarily lead to more stability. A bifurcation analysis shows that the Nash equilibrium may lose its stability through period-doubling, Neimark–Sacker, 1:2 resonance, 1:3 resonance, and 1:4 resonance bifurcations. In addition, we explore through numerical simulations complex dynamics such as chaos and multistability that may occur in the model.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"140 ","pages":"Article 108390"},"PeriodicalIF":3.4000,"publicationDate":"2024-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Impact of information advantage on dynamics of duopolistic competition under nonlinear demand\",\"authors\":\"Xiaoliang Li , Bo Li , Zohreh Eskandari\",\"doi\":\"10.1016/j.cnsns.2024.108390\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>In this paper, we focus on the impact of one firm’s information advantage over the other on the dynamic behavior of duopolistic competition. We establish conditions for the local stability of the model and find that more information does not necessarily lead to more stability. A bifurcation analysis shows that the Nash equilibrium may lose its stability through period-doubling, Neimark–Sacker, 1:2 resonance, 1:3 resonance, and 1:4 resonance bifurcations. In addition, we explore through numerical simulations complex dynamics such as chaos and multistability that may occur in the model.</div></div>\",\"PeriodicalId\":50658,\"journal\":{\"name\":\"Communications in Nonlinear Science and Numerical Simulation\",\"volume\":\"140 \",\"pages\":\"Article 108390\"},\"PeriodicalIF\":3.4000,\"publicationDate\":\"2024-10-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in Nonlinear Science and Numerical Simulation\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1007570424005756\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Nonlinear Science and Numerical Simulation","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1007570424005756","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}

引用次数: 0

摘要

在本文中，我们重点研究了一家公司相对于另一家公司的信息优势对双头垄断竞争动态行为的影响。我们建立了模型局部稳定性的条件，并发现更多的信息并不一定会带来更多的稳定性。分岔分析表明，纳什均衡可能会通过周期加倍、Neimark-Sacker、1:2 共振、1:3 共振和 1:4 共振分岔而失去稳定性。此外，我们还通过数值模拟探索了模型中可能出现的混沌和多稳定性等复杂动态。

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

Impact of information advantage on dynamics of duopolistic competition under nonlinear demand

In this paper, we focus on the impact of one firm’s information advantage over the other on the dynamic behavior of duopolistic competition. We establish conditions for the local stability of the model and find that more information does not necessarily lead to more stability. A bifurcation analysis shows that the Nash equilibrium may lose its stability through period-doubling, Neimark–Sacker, 1:2 resonance, 1:3 resonance, and 1:4 resonance bifurcations. In addition, we explore through numerical simulations complex dynamics such as chaos and multistability that may occur in the model.

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

Communications in Nonlinear Science and Numerical Simulation MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

6.80

自引率

7.70%

发文量

378

审稿时长

78 days

期刊介绍： The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity. The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged. Topics of interest: Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity. No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.