Nowadays, with a great number of household electrical appliances being discarded in every corner of the world every day, household electrical appliances recycling is attracting more attention. In this paper, we build a closed-loop supply chain that consists of a manufacturer and a third-party recycler based on the development of “Internet Plus” recovery platform. We thoroughly analyze the model and its evolution by chaos theory, complex dynamics theory, and numerical simulation and introduce the adaptive method to control the chaos of the system. We find that as the manufacturer increases the retail price, the stable area of the market becomes smaller. At the same time, when the manufacturers direct recycle price or the price adjustment range of the products recycled from the third party exceeds a certain threshold, all the recycle prices in the whole market will fluctuate, thus causing market chaos. Among them, as an adjustment decision method, delay strategy reduces the volatility of recycle price and makes it return to a stable state, which is an effective method to control system disorder. In addition, the third-party recycler will change the optimal subsidy model according to the government’s price subsidy level, while the manufacturer always prefers the price subsidy model.
22 July 2021 in Discrete Dynamics in Nature and Society
The disordered price competition among various agricultural business agents leads to chaos of agricultural products’ prices, which makes it difficult for customers to form stable price expectation and correct brand cognition, restricting the sales of agricultural products with regional brands. Based on the Salop circular market model with bounded rationality and delayed feedback, this paper discusses the complexity in price competition of agricultural products with regional brands. It is found that when the price adjustment speed of agricultural business agents exceeds the stability region, the pricing system of agricultural products with regional brands would appear the phenomenon of periodic bifurcation or chaos. The delayed feedback controlling mechanism of price adjustment could make the pricing system in the chaos state turn to the equilibrium state. Therefore, the price fluctuation of agricultural products with regional brands needs reasonable control from the industrial associations and government departments.
23 November 2022 in Mathematical Problems in Engineering
Extracting useful information from a large number of policy texts is a challenging and insufficiently discussed topic. Utilizing large sample policy texts and a method of machine learning, this study contributes to the research gap by systematically analyzing the temporal evolution and spatial differentiation of China’s land policy from 1998 to 2018. A framework comprising six major themes of land policy, namely, “land development, land acquisition and demolition, cultivated land protection, land planning, land consolidation and utilization, and land confirmation and transfer” is first established, according to the theoretical and institutional background of land management. Based on this framework, the Latent Dirichlet Allocation analysis of more than 20,000 policy documents at different levels of government shows that, (1) temporally, the priority of land policy evolves with the spirit of the central document and the macropolitical and economic conditions and, (2) spatially, there are significant differences in land policies among provinces. Overall, the analysis of land policy documents shows the tradeoff between cultivated land protection and land development and also the emphasize on other topics, with the changes in land policy priorities in different periods and regions.
Motivated by the electric vehicle battery life performance, we studied the optimal investment decision-making behaviour of duopoly automakers. Based on the framework of game theory, this paper explores the influence of various parameters in the static game and dynamic game on the results, in combination with consumers’ preference for the battery life of electric vehicles. In the static game, a smaller investment coefficient is more beneficial to a firm that adopts an investment strategy rather than a firm that does not. When the investment coefficient increases, the difference between the two manufacturers will become smaller. The change of parameters in the dynamic game system may lead to complex dynamic phenomena, and the system will experience period-doubling bifurcation and N-S bifurcation from a stable state into a chaotic state. It will also significantly impact the basins of attraction, which affect the decision-makers’ initial choice. Consequently, we can use the control method to return the unstable system to stability. Based on these findings, some management insights and suggestions are presented.
4 July 2022 in Mathematical Problems in Engineering
The convenience of business interruption insurance enables the manufacturer to develop direct channels. This dissertation discusses the price decision of duopoly manufacturers by considering the business interruption risk and the price game model of duopoly manufacturers under business interruption insurance, so that the duopoly manufacturers can produce alternative products and finally sell them to consumers. By using game theory and complex dynamics theory, combined with the numerical simulation method, the result shows that when the decision variable adjustment speed of the manufacturer is too fast, the system will fall into a state of chaos and disorder, and the introduction of business interruption insurance will increase the manufacturers optimal sales price and profit. It has a certain reference value to the risk management when the manufacturer faces the risk.
About Me
Dr. Xiao Li is employed by the Zhejiang University of Water Resources and Electric Power,Zhejiang Hang Zhou 310018, China.
Dr. Xiao Li is employed by the Zhejiang University of Water Resources and Electric Power,Zhejiang Hang Zhou 310018, China.