I was in an auto accident both parties were issued tickets my car was damaged who is responsible for the damages?

ANSWER

In this case you need to go to court and fight the ticket, if you believe that you are not at fault for the accident, however, based on your own insurance policy, it may be different. Most likely, both of the Insurance co. will deny liability to each other, and if you don't win your ticket in court, you are stuck with your own costs.