Well, assuming that its competition has made it that far. If Uber is years ahead of everyone and has the volume it could expand like crazy and crush future competition on the economies of scale alone.
While there are other companies like ZipCar or Car2Go have already the technology, the experience, and the infrastructure on how to own cars, how to service cars, and how to bring the users and those cars together.
On the other side, Uber does not own any car neither have any infrastructure for those cars.
So it should be easier for ZipCar, Car2Go and alike to exchange those cars with self-driving cars vs. Uber to build up that infrastructure.
no, the way it works in Europe is the taxi drivers blockade the street with burning tires because uber and immigrants driving its cars are stealing their property: customers.
No, then Uber will have to lower prices to stay competitive against competition that exactly like uber will be in the same situation.