To study the effect of the degradable road network on travel decision and traffic assignment, firstly all travelers were categorized into three classes: risk-averse travelers, risk-prone travelers and risk-neutral travelers. Secondly, two travel modes including car trip and car-subway trip were considered in a multi-modal networks. A stochastic traffic equilibrium model was proposed by using the variational inequality theory, and the properties of the solution were discussed. Finally, an example was used to testify the validity of the model and the algorithm. The results show that the travel behavior varies greatly with different travel time budget; with the decrease of traffic capacity, travelers prefer to choose the combined modes
