Who is responsible for your damages if your car was rear ended by a yellow cab that was hit by a hit and run driver in New York?

The hit and run driver is responsible assuming you only felt one impact, (cab was hit and pushed into you), if you felt two impact, (cab hit you then was hit by fleeing party and hit you again) then the cab will be on the hook for atleast part of your damage. The cab company may, (the don't have to) pay for your damages, if they know, or think they will find this third car, otherwise, you will need to be paid by your company under your collision coverage, your company may then go to the cab company for some contributing factors in the accident, (not far enough back from you etc)........good luck.......