Before you can regulate you need standards and those standards should actually cover the specifications of automated vehicles and their real world capabilities and how they are promoted. First up detection capabilities should be fully publicised and 3D image maps of what they can detect and how far they can detect it, what the detection cycles are and the standards it has been tested under and the validity and completeness of those test ie what the vehicle can see and how it sees it and what independent tests have been carried out to confirm the truth of the claims.
Then you have vehicle action processing capability, how it can react to what it sees, how it processes it, what some important decision trees are, will it purposefully run down a person in order to preserve value in the vehicle and the safety of the occupant ie an imminent collision with another vehicle, the only evasive action is through a bunch of pedestrians but it is much safer to run them down for the vehicles passenger, than to take the impact with the other vehicle (so a vehicle might be designated as a zero evasive action, breaking only and always adhering to road traffic rules regardless of consequence for the passenger).
A lot of automated vehicle rules should not be a matter of convenience for profit first corporations but standards and regulations approved by the public and their representatives ie to illegally evade a collision or to take the impact and stay within the law and that coding should be audited to ensure it complies no bloody secrets with vehicle automation.
The other big thing is remote control vs localised control, whether or not the vehicle owned by the individual can be remotely controlled by the corporation, keep in mind servicing laws for automated vehicles will end up being compulsary and extremely highly priced and profitable, don't pay and the remote control vehicle wont go, price to change oil $1,000, change computer 50% of vehicle price, the sky is the limit. All automated vehicles will only be able to be serviced or repaired by the original manufacturer with massively inflated profit margins, else lose the warranty on automation, instantly and as a bonus the car simply stops where it is and requires towing to an manufacturer authorised location.
Watch, they will want to ban bicycles because they are not remotely controlled and they cause problems for automated vehicles, and why have them, a child can climb into an automated vehicle and be taken where the corporation wants to take them. More than public safety, this is an issue of total control over your movements. The corporations don't want you to go somewhere and you will be walking and likely get run down by an automated vehicle.