Generally any damage done by a car is the responsibility of its owner. The owner will likely be sued anyway, because they have insurance and assets, and the thief (even if known) does not.
reply> The majority common law rule among the 50 states is that the owner of a stolen vehicle will not be held liable for damages when the vehicle is stolen and then involved in an accident that causes injury or property damage. This is because the vehicle was taken without the consent of the owner, who did not cause the accident.
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