A two-stage safety evaluation model for the red light running behaviour of pedestrians using the game theory

•Safety risk attributed to red light running behaviour of pedestrians is investigated.•A game theoretical model is adopted to model the interferences between the decisions of pedestrian and driver.•A bivariate ordered Probit model is adopted to model the risk of pedestrian-vehicle conflicts.•Pedestrian gender, waiting time, walking speed and vehicle speed would affect the crossing decision of pedestrian and associated risk.•Pedestrian walking speed, vehicle speed and vehicle type would affect the yield decision of driver and associated risk.