A method in which the driving behavior of a vehicle is influenced as a function of data on the surroundings in order to assist an avoidance maneuver, as soon as a risk of a collision is detected on the basis of the data from one or more environment sensors, in particular radar sensors and/or cameras, and the data from one or more vehicle sensors, in particular a steering angle sensor and/or yaw rate sensor and/or wheel speed sensors, and the vehicle has an electronically controlled brake system which permits a driver-independent buildup and modulation of the braking forces at the individual wheels of the vehicle, wherein when a risk of a collision is detected, in a first phase a turning-in operation by the driver is assisted and/or in a second phase a steering operation by the driver is damped. Furthermore, an electronic control unit for a brake system is defined.