You will have to pay for damage caused by your vehicle. Even if the car is driving itself. Autonomous cars won't be viable if the drivers aren't taking responsibility. There will probably be some kind of contact that you'll have to agree to when buying the car. Seems fair to me. If an autonomous car is ten times less likely to get in an accident than a human driver, then your cost for insurance would be way down and the insurance would pay for the accidents caused by the autonomous cars. Accidents caused by unpredictable circumstances as well as software bugs would be covered by insurance.