I have found and read some topics that explain the flagging system and are very helpful (below):
So What Exactly Happens when you "Flag"?
What are Flags and how do they work?
User Reputation and Flag Priorities
However, none of these spell out what notifications the person flagging and the person who wrote the flagged post get in different situations? It seems to vary not only by type of flag (eg. off topic, inappropriate, etc) and by the action that a moderator takes (agree, disagree, ignore).
Are all the possibilities listed somewhere? If not, you you consider making an FAQ on this?