Bertrand game model and its equilibrium analysis based on RDEU theory

Green supply chain management is a kind of effective management approach for home appliance industry to pursue the strategy of sustainable development and improve the product international competitiveness. In this paper, a game model is proposed to study the relationship and game status between governments and enterprises in the green supply chain of the home appliance industry. Through the equilibrium analysis of the game model, some countermeasures are put forward, which can be helpful to improve the construction of the green supply chain in the home appliance industry.

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Research on a Cournot–Bertrand Game Model with Relative Profit Maximization

Complexity ◽

10.1155/2020/2358125 ◽

2020 ◽

Vol 2020 ◽

pp. 1-12

Author(s):

Yi-min Huang ◽

Qiu-xiang Li ◽

Yan-yan Guo ◽

Yu-hao Zhang

Keyword(s):

Dynamic System ◽

Product Differentiation ◽

Profit Maximization ◽

Stable State ◽

Attraction Domain ◽

Game Model ◽

Stable Range ◽

Adjustment Speed ◽

Bertrand Game ◽

Relative Profit

This paper considers a Cournot–Bertrand game model based on the relative profit maximization with bounded rational players. The existence and stability of the Nash equilibrium of the dynamic model are investigated. The influence of product differentiation degree and the adjustment speed on the stability of the dynamic system is discussed. Furthermore, some complex properties and global stability of the dynamic system are explored. The results find that the higher degree of product differentiation enlarges the stable range of the dynamic system, while the higher unit product cost decreases the stable range of price adjustment and increases the one of output adjustment; period cycles and aperiodic oscillation (quasi-period and chaos) occur via period-doubling or Neimark–Sacker bifurcation, and the attraction domain shrinks with the increase of adjustment speed values. By selecting appropriate control parameters, the chaotic system can return to the stable state. The research of this paper is of great significance to the decision-makers’ price decision and quantity decision.

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Green Investment Decisions in Supply Chains: A Game Model with Complete Information

Information ◽

10.3390/info10060185 ◽

2019 ◽

Vol 10 (6) ◽

pp. 185

Author(s):

Qiuzheng Li ◽

Zuopeng (Justin) Zhang ◽

Wei Rao ◽

Wenwen Xu ◽

Lijia Jiang

Keyword(s):

Supply Chain ◽

Complete Information ◽

Equilibrium Analysis ◽

Green Supply Chain ◽

Critical Conditions ◽

Game Model ◽

Textile And Apparel ◽

Prior Literature ◽

Green Investment ◽

Textile And Apparel Industry

Prior literature on a two-level supply chain has mainly focused on the game between one manufacturer and one supplier. Exploring group game behavior in a green supply chain (GSC), our research develops and studies a sequential GSC game model consisting of a single manufacturer and three suppliers based on the characteristics of the textile and apparel industry clusters. In our GSC model, the manufacturer is the leader of the supply chain and the suppliers are either homogeneous or complementary. Through equilibrium analysis, we identify critical conditions that influence the behavior of the manufacturer and suppliers to improve the green investment in the supply chain. Our study provides a theoretical basis and a decision-making reference for promoting the cooperation in GSCs and improving the performance of the government’s environmental policies.

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