First Uber isn't going to actually ever do this - programming is not their core competency, and they don't make enough to fund it for the length of time necessary.
Second it'll be decades before there are self driving cars, so the drivers can make money in the meantime.
Third, once the cars do arrive they will start with long distance highway trips, which is not what Uber does.
You need the right people to know who the right people are.
Uber is just not well equipped for this. They could do it certainly (throw enough money at it), but their risk/reward is not in the right place.
(But it I mean setup a research team and at least type, I don't expect a self driving car for decades. Maybe a sort of road train that only drives on pre-marked routes would happen first.)
First Uber isn't going to actually ever do this - programming is not their core competency, and they don't make enough to fund it for the length of time necessary.
Second it'll be decades before there are self driving cars, so the drivers can make money in the meantime.
Third, once the cars do arrive they will start with long distance highway trips, which is not what Uber does.