I call it the aggressive, psychotic driver who makes random, unsafe lane changes, fails to signal, and swoops across several lanes of traffic while doing well over the speed limit.
Lemme see your driverless car handle that, then we'll see.
Let's see now.
Aggressive driver going well over the speed limit cutting in front of me.... Don't really see that as a problem if the autonomous car is doing the speed limit. Yes, there's an interval where the car is too close for safe following, but the aggressive driver fairly rapidly increases the gap. (after all, you did state "going well over the speed limit"). As for failure to signal? I somehow doubt that the programming and sensors for the autonomous car will even notice turn signals. It will however notice the car shifting towards the side of the lane and will likely assume that the car will continue its sideways motion. Given the reaction speed of computer, a lot of the problems caused by aggressive drivers will pretty much go away.
Random - That's the impression a HUMAN driver would have. A better term for "random" would be "unpredictable". And since the autonomous vehicle would be monitoring the relative location of nearby vehicles, people, and other objects the main criteria is "will that object with its current velocity and potential acceleration impact this vehicle?"
Unsafe - Just another aspect of your "random" comment. Please see above response.
Fails to signal - As mentioned, turn signals are not considered a reliable source of data. They are meant as advance warning to us rather slow humans. Stick with the physics based solution.