Except insurance also covers for costs that are not your fault or not anyone’s fault. An insurance premium could be divided into two components: one based on individual risk and the other component based on no-fault risk that applies to pretty much everyone equally. How are you going to get bad drivers to pay for hail damage? How are you going to get bad drivers to pay for a tree falling on your car? How are you going to get bad drivers to pay for an accident caused by a random tire blowout?

The personal risk component can be accounted by “perfect” information and that component can get bigger or smaller depending on your definition of perfect, but there’s another component which can’t.