Three bounded proofs for nonlinear multi‐input multi‐output approximate dynamic programming based on the <scp>L</scp>yapunov stability theory

Huang, Zhijian; Xiong, Xuemei; Chen, Wentao; Zhang, Qin; Liu, Yihua; Chen, Yuli

doi:10.1002/oca.2332

Cited by 6 publications

(2 citation statements)

References 32 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…If the evolutionary stable equilibrium E is asymptotically stable, then E must satisfy a strict Nash equilibrium, and the strict Nash equilibrium must be a pure strategy equilibrium [56]. According to Lyapunov's stability theory [57,58], the eigenvalues of the Jacobian matrix can determine the asymptotic stability of the equilibrium points of the system, that is, the necessary and sufficient condition for an equilibrium point in a replicator dynamics system to represent an evolutionary stable strategy is that all the eigenvalues of its Jacobian matrix are negative real numbers [59]. The Jacobian matrix of the four-dimensional dynamic system is shown in Equation 32:…”

Section: The Stability Of the Four-dimensional Dynamic Systemmentioning

confidence: 99%

Research on Air Pollution Control in China: From the Perspective of Quadrilateral Evolutionary Games

Yang

2020

Sustainability

View full text Add to dashboard Cite

By constructing a quadrilateral evolutionary game model involving the central government, local governments, polluting enterprises, and the public, this paper attempts to comprehensively analyze the development and implementation of China’s air pollution control policies. Through the quadrilateral evolutionary game model, this paper systematically studies the evolutionary stable strategies of the four parties involved and obtains 27 equilibrium points, strategy sets, and their corresponding policy performance with the help of the four-dimensional dynamic system. The research results show that there are five equilibrium points that represent the least ideal scenarios, 14 equilibrium points that represent the less than ideal scenarios, four equilibrium points that represent the ideal scenarios, three equilibrium points that represent the more than ideal scenarios, and one equilibrium point that represents the most ideal scenarios. By analyzing the eight equilibrium points that represent the ideal, more than ideal and most ideal scenarios, especially the four stable points, this paper has obtained the conditions as well as policy implications of the four stable points in China’s air pollution control campaign.

show abstract

Section: The Stability Of the Four-dimensional Dynamic Systemmentioning

confidence: 99%

Research on Air Pollution Control in China: From the Perspective of Quadrilateral Evolutionary Games

Yang

2020

Sustainability

View full text Add to dashboard Cite

show abstract

“…Therefore, it is of significance for this paper to propose a new method of evolutionary game theory and deep learning to solve the problem of enterprise growth. The emergence of game evolution provides new ideas for solving the problems faced by enterprise innovation [7,8]. At present, enterprise growth innovation is more oriented towards the technical means, industry competition, and enterprise performance considerations, and the role of incentive mechanisms in enterprise growth innovation has not been elucidated.…”

Section: Introductionmentioning

confidence: 99%

Innovative Technology Method Based on Evolutionary Game Model of Enterprise Sustainable Development and CNN–GRU

Zhang

2023

Sustainability

View full text Add to dashboard Cite

Realizing the sustainable innovation growth of enterprises is one of the important research directions of management science. Traditional enterprise growth innovation methods cannot effectively estimate the emotional tendency of online public opinion (PO), and they cannot guide the effective growth of enterprises. For this reason, This paper proposes an enterprise growth innovation technology based on the evolutionary game (EG) model of sustainable development and deep learning (DL). Firstly, by obtaining the game payment matrix between network users and enterprises, combined with the deep neural network model, the PO evolution model of the enterprise growth network was constructed and solved. Then, a convolutional neural network (CNN) model was used to extract sequence features from global information, and a gated recurrent unit (GRU) was used to consider the context. A DL network model based on CNN–GRU was proposed. Finally, by introducing the EG model, a stable strategy was generated through the dynamic adjustment of the whole system, which improved the accuracy of online PO judgment. Through simulation experiments, the enterprise growth innovation method proposed in this paper was compared with the other three methods. The results show that the accuracy, precision, recall, and f1 value of this method are 92.21%, 89.33%, 91.86%, and 91.64%, respectively, which are better than the other three methods. This method is of great significance for promoting enterprise innovation technology and sustainable development of enterprises.

show abstract

Online Car-Hailing Market Regulation Strategy in China: From the Perspective of Quadrilateral Evolutionary Games

Peng,

Hou,

Gao

2023

Comput Econ

View full text Add to dashboard Cite

Three bounded proofs for nonlinear multi‐input multi‐output approximate dynamic programming based on the Lyapunov stability theory

Cited by 6 publications

References 32 publications

Research on Air Pollution Control in China: From the Perspective of Quadrilateral Evolutionary Games

Research on Air Pollution Control in China: From the Perspective of Quadrilateral Evolutionary Games

Innovative Technology Method Based on Evolutionary Game Model of Enterprise Sustainable Development and CNN–GRU

Online Car-Hailing Market Regulation Strategy in China: From the Perspective of Quadrilateral Evolutionary Games

Contact Info

Product

Resources

About