Analysis of chaotic economic models through Koopman operators, EDMD, Takens' theorem and Machine Learning

Leventides, John; Melas, Evangelos; Poulios, Costas; Boufounou, Paraskevi

doi:10.3934/dsfe.2022021

Cited by 1 publication

(1 citation statement)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Analyzing the chaotic characteristics of the system plays an important role in studying the sensitivity of the system. Therefore, scholars often analyze the system's chaotic characteristics in light of the dynamic game theory [20][21][22][23][24][25][26][27]. Zhang et al [28] established a bounded rational Bertrand model, analyzed the system equilibrium solution with dynamic theory, and studied the impact of the speed of parameter adjustment on the stability of Nash equilibrium using sensitivity analysis.…”

Section: Introductionmentioning

confidence: 99%

A Joint Distribution Pricing Model of Express Enterprises Based on Dynamic Game Theory

Fan,

Sun,

Yun

et al. 2023

Mathematics

View full text Add to dashboard Cite

With the development of sharing economy, a joint distribution mode has been increasingly adopted as the preferred cooperation mode of third-party logistics enterprises to achieve the efficient, resource-saving, and profit-optimal business goals of enterprises. In the joint distribution mode, the distribution price is one of key factors that influences the operation of the joint distribution. Thus, to acquire the optimal pricing for the logistics enterprises, we establish a pricing model based on dynamic game theory for a joint distribution system including one joint distribution company and two express enterprises. In the proposed model, two dimensions of games exist simultaneously, including the game between express competitors and the game between express and distribution enterprises. The multidimensional game leads to more complex system characteristics. Through the stability analysis, we find the Nash equilibrium point and its stability conditions. Numerical simulations are conducted to investigate the complex dynamical behaviors of the game model, such as the system stability region, the bifurcation diagram, the largest Lyapunov exponent, strange attractors, etc. The simulation results indicate that different price adjustment speeds and ranges have a significant impact on the system stability and the profits of all participants in the game. The parameter adjustment control can well dominate the chaotic behaviors of the system. Enterprises should make pricing decisions based on their market positions to promote the continuous and stable development of the operation mode of the multi-agent joint sharing distribution center.

show abstract