As part of another thread ( The Good ol' Tie Swarm ), DraconPyrothayan gave a quick explanation of his process for determining priority targets during each game. This is useful in both determining how to protect your ships that represent the highest priorities for your opponents, and which of your opponent's ships you need to take out first or fire on during a given turn.
In my opinion, this is one of the most subtle parts of the game and it can help you swing the game in your favor early.
What is your process for prioritizing targets? How do you decide who to take off the board first?
I'll let Dracon explain his own thinking (or you can check it out from the link above).