I need to know what you would call a cocktail party with wait staff walking aroung with trays of drinks?
"catered cocktail party" is not right, because this means the services comes from outside of the establishment where the event is held
"hosted cocktail party" also doesn't work, as "hosted" means there is some VIP type person there.
I know when the trays have food on them it's called "passed hors-deourves" but I do not think there is an actual name for that kind of party. "passed cocktails" is the most reasonable though I have never heard that said before. And actually, when you say "hosted cocktail party", it makes the most sense because "hosted" does not necessarily mean a vip or guest of honor, it means the cocktails are provided by the host, which is the one throwing the party.
Has nothing to do with the play, but I happen to be in the business of catering! Hope this helped and wasn't too late.