Abstract: A method for controlling an automated vehicle when driving into a crossing of equal-ranking roads involves the vehicle granting grants the further vehicles right of way at least for a pre-determined waiting time. The vehicle determines, according to a pre-determined arbitration rule, whether it should have priority over the further vehicles for passing through the crossing. After the waiting time has passed, the vehicle begins a crossing traversal maneuver to traverse the crossing if it is determined that it should have priority for passing through the crossing and if none of the further vehicles has driven on in the interim.