This came up in a tournament yesterday and most people couldn't come up with a consensus on what happenbs, when it happens, and the order in which it happens.
Scenario:
Decimator w/Vader crew and 2 hull remaining
Other ship at higher pilot skill has already fired but with a single hull point remaining
Decimator fires and misses, and then Vaders the last hull off of the other ship.
Question: Does the Decimator get destroyed at the same time, before, or after the other ship that has been destroyed by the Vader critical damage? Since both ships are removed from play, is this an initiative question of who "wins" or does the decimator get removed at the same/before/after as the other ship?
Does the "Suffer 2 damage to cause the other ship to rsuffer 1 critical damage" mean that the Decimator gets destroyed first BEFORE the critical hit is suffered, or does the critical hit land before the Vader damage?

I call into attention the rule book and its ruling on damage.
(Page 13)