Towards a game-theoretic model of co-operative context-aware driving under random influences

Cooperative driving is currently an active area of research, where considerable effort is put on providing drivers with precise information about their surrounding and actions of others in order to have a valuable decision support system. Still, the final decision does and should always remain with the driver. Hence, any recommendation may be followed or disregarded by the driver, yielding to avoidance or increase of danger for others and oneself. This paper makes an attempt to model cooperative driving as a non-cooperative game with an explicit account for the free will of a driver. We derive results on how much the optimal situation may deviate from the actual situation if the driver is unwilling or unable to precisely follow the recommendation of a driving assistance system.