Let's say that I caused some nasty accident and someone was hurt and a judge told me that I have an obligation to amend their damage somehow. 

However, some other person (or entity) will decide *how* these damages should be amended. E.g. paying the claimant 1000$ or helping mow their lawn for a month. What could this person be called in this context? Something more graceful than *damage-fulfilment-decider*.