Bi-level Game Model for Interaction between Arctic and Traditional Routes

作者：Wang, Yangjun^*; Zhang, Ren

来源：Journal of Navigation, 2019, 72(2): 269-289.

DOI：10.1017/S0373463318000759

• Bi-level game model
• Arctic routes
• Generalised Nash equilibrium
• Elastic demand

This paper proposes a bi-level model from the perspective of game theory to describe the effect of the rise of Arctic shipping routes on traditional routes and their response. The upper-level model demonstrates the competition between shipping companies that maximise their own profits via speed adjustment, which can be presented as a generalised Nash equilibrium problem and is solved by the generalised reduced-gradient method. The lower-level model illustrates the response of customers who reassign their demands with an elastic total demand, which is presented as a logit-type multi-path assignment problem and is solved by the iterative balancing method. A case study is used to examine the rationality of the proposed model and algorithm.

• 出版日期2019-3
• 单位中国人民解放军国防科学技术大学