{"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":3.8000,"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}
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Abstract
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.
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.
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