Nash equilibrium analysis based on a generalized travel cost

摘要

To explore travel options and travel equilibrium problem in urban traffic, the traditional research mainly focuses on the degree of association & mechanism between the travelers' choice behavior and influence factors. A generalized travel cost model is constructed based on the analysis of the main factors affecting travel behavior in the paper, the Nash equilibrium theory is introduced to analyze the best travel combinations between travel routes and transportation modes during to the travel cost matrix based on generalized travel cost, and Nash equilibrium cost matrix can be get. In this equilibrium condition, the generalized travel cost of each travel route and transportation mode becomes more balanced, which benefit distribution equilibrium; and no operator can obtain higher profits by changing the price strategy unilaterally, which ensure the stability of the cost matrix. The example and conclusion shows that the Nash equilibrium is existed in the analysis of cost in travel choice, and confirms that a better balanced travel can be obtained by adjusting the travel cost.