usually the family will forgive the defendant for a price, if the perpetrator is rich and can pay, it may be better and more reasonable for the victim to take the money instead of seeing the criminal punished.
afaik you have something similar: civil lawsuits. unless a settlement is made for a price, the victim can sue for compensation.

imo this however should not prevent criminal proceedings or else rich people get off the hook much easier for committing crimes.