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为研究行人与机动车驾驶员在行人过街过程中各自采取的行为决策,引用博弈论进行分析,构建了行人过街博弈树,以行人与机动车的过街决策(不避让、减速避让)建立只考虑时间的支付矩阵,求得行人与机动车的Nash均衡解,即行人与机动车分别采取何种行动为最优决策;引入风险因素对该博弈进行改进,在同时考虑时间因素和风险因素对行人与机动车行为决策影响的情况下建立新的支付矩阵,分情况讨论不同条件下的Nash均衡解,描述均衡解表达的博弈论意义,即在不同情况下行人与机动车的最佳行为决策。
In order to study the behavior decisions of pedestrians and motorists in the process of crossing pedestrians, the game theory is used to analyze and construct pedestrian crossing game trees. The pedestrian and motor vehicle crossing decision-making (non-avoidance and deceleration avoidance) is only considered Time payment matrix to find the pedestrian and motor vehicle Nash equilibrium solution, that is, pedestrians and motor vehicles, respectively, what kind of action to take the best decision-making; the introduction of risk factors to improve the game, taking into account both time and risk factors on pedestrians Establishes a new payment matrix under the influence of vehicle behavior decision-making, discusses Nash equilibrium under different conditions according to different situations, and describes the game theory meaning of equilibrium solution, that is, the best behavior decision of pedestrians and vehicles in different situations.