Global Analysis, Multi-stability and Synchronization in a Competition Model of Public Enterprises with Consumer Surplus

Li, Wen-Na; Elsadany, A. A.; Zhou, Wei; Zhu, Yan-lan

doi:10.1016/j.chaos.2020.110604

Cited by 12 publications

(2 citation statements)

References 38 publications

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“…Cao et al [39] considered a dynamic duopoly Cournot model based on bounded rationality and consumer surplus, and analysed the global dynamics and synchronization phenomena of the system. Li et al [40] investigated the dynamic model's global dynamic behavior with consumer surplus and found that chaos may lead to the reduction of social welfare. More related studies can be found in references [41]- [44].…”

Section: Introductionmentioning

confidence: 99%

Global dynamics analysis of a duopoly game model with isoelastic demand and consumer surplus

Liu

Zhou

et al. 2023

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We established a dynamic duopoly game model with consumer surplus and isoelastic demand, and studied the local and global dynamic characteristics of the game model. The local stability of the boundary equilibrium point is examined by way of the stability theory and Jacobian matrix, and through the Jury criterion, the stable region of the Nash equilibrium point is determined. The analysis revealed that the system may lose stability via the Flip bifurcation and the Neimark-Sacker bifurcation. The effect of each parameter on the stability of the system is discussed in virtue of numerical simulations, and it is concluded that when enterprises choose relatively small the speed of adjustment, profit weight coefficient and marginal cost, as well as relatively large price elasticity coefficient, it is more beneficial to the future long-term development of enterprises. With the help of the basin of attraction, the problem of attractor coexistence is studied. Multiple stability always implies path dependence, implying that historical chance has a significant impact on the future behavior of enterprises. In other words, the slight perturbations of the initial conditions will have a significant impact on how the system develops. In addition, we investigate the system’s global dynamical behavior using critical curves, basins of attraction, attracting areas and the noninvertible map, and discover three global bifurcations of the system. The boundary of the chaotic attractor and the region with higher density of points are given by the critical curve.

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Section: Introductionmentioning

confidence: 99%

Global dynamics analysis of a duopoly game model with isoelastic demand and consumer surplus

Liu

Zhou

et al. 2023

Preprint

Self Cite

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“…We assume that the manufacturers and retailers are completely rational, pursuing the maximization of their respective interests. In the research of many scholars, firms often seek to maximize their profits as their objectives [36].…”

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confidence: 99%

Can Decentralization Drive Green Innovation? A Game Theoretical Analysis of Manufacturer Encroachment Selection with Consumer Green Awareness

Cao

Liu

et al. 2021

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With the increase of public environmental awareness and the growth of e-commerce, sustainable development promotes the manufacturer to increasingly participate in green innovation and make full use of the online sales channel to enhance competitiveness. Despite decentralized encroachment being widely adopted in business reality, the current literature has commonly paid more attention to centralized encroachment. To complement related research, a dual-channel green supply chain composed of a manufacturer (its retail subsidiary) and a retailer is investigated. We focus on what encroachment strategy (centralization vs. decentralization) drives the green innovation and analyze the impact of consumer green awareness and product substitutability on the manufacturer’s encroachment strategy, green innovation efforts and supply chain performance. Under each encroachment strategy, we build a Stackelberg game model and derive the equilibrium outcome. Then, we theoretically analyze the effects of consumer green awareness and product substitutability on green innovation and each party’s profitability. Our comparative analysis shows what encroachment strategy drives green innovation and what encroachment strategy benefits both parties and social welfare. Numerical studies are also conducted to support the analytical results. Our key findings reveal that decentralization improves the green innovation and achieves a both-win situation for the manufacturer and the retailer. Besides that, decentralization can reduce the environmental damage and increase social welfare as well.

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Complex dynamics investigations of a mixed Bertrand duopoly game: synchronization and global analysis

2022

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Global Analysis, Multi-stability and Synchronization in a Competition Model of Public Enterprises with Consumer Surplus

Cited by 12 publications

References 38 publications

Global dynamics analysis of a duopoly game model with isoelastic demand and consumer surplus

Global dynamics analysis of a duopoly game model with isoelastic demand and consumer surplus

Can Decentralization Drive Green Innovation? A Game Theoretical Analysis of Manufacturer Encroachment Selection with Consumer Green Awareness

Complex dynamics investigations of a mixed Bertrand duopoly game: synchronization and global analysis

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