If I'm not mistaken, if there are no injuries, there really is not requirement that Police investigate an accident. As long as you file the necessary accident report, along with proof of insurance, if the damage exceeds the threshold, you're good to go. It's been a long time since I've had an accident but the last time I did, essentially all the Police Officer did was to facilitate the exchange of information. If the other person is cooperative no need for the Police.
Just don't forget to file the accident report if damage limit is exceeded.