Non-cooperative Dynamic Game Model Between Drivers And Crossing Pedestrian

With the acceleration of urbanization process and the continuous improvementof people’s living standards, China’s vehicle population is showing a trend ofgeometric growth. Moreover, China is the most populous country, the conflictbetween pedestrian and vehicles is serious in urban road traffic system operation.Among the existing pedestrian crossing facilities, unsignalized pedestrian crosswalkaccounted for the most. The drivers are always self-centered, without consideringthe traffic weak preemption when they pass through, which leads to the increasingpossibility of conflicts between vehicles and crossing pedestrian. Thus, the conflictbetween vehicles and crossing pedestrian has become one of focus in road trafficsafety research field. Establishing the mathematical description of decision-makingbehavior of driver and crossing pedestrian, analyzing the interaction between them,and putting forward reasonable control measures are practical and significant.Through the risk decision-making experiment, the perceived risk and decisionbehaviors of drivers and crossing pedestrian is analyzed, the relationship betweenthe perceived risk and vehicle speed is revealed, the factors influencing the payoffsof different decisions in the process are given, and the impact of risk and delay ondecisions is analyzed.Using probability theory, the collision risk probability model is built up and therisks and delays of drivers and crossing pedestrian in different speed levels arestandardized. Then the payoff function of the one who acts first is obtained.By constructing the strategy spaces and payoff matrix, the dynamicnon-cooperative game model between drivers and crossing pedestrian is built up,and then the equilibrium solutions of the model is analyzed.Eventually, based on the conclusions got from the collision risk probabilitymodel and the dynamic non-cooperative game model, suggestions about thearrangement plan of crossing pedestrian signals and speed limiting facilities areproposed.