The Blame Game
Make sure you give one of your characters the mutant power of Luck, and the backstabbing will really take care of itself. On our first mission for the computer, everyone died, one guy twice, except me. What really kept pissing people off was I'd pass a post-it to the Ref, and somehow my butt would get saved, and never the same way. Well a few clones later, it didn't matter that they had nothing on me, they were more than happy to provide "observations", and the computer doesn't care if information conflicts as long as everyone's is happy. Unfortunately lying makes people sad, so we were all a few more clones fewer after the mission debreifing.
The computer isn't completely unlike the worlds best, most amoral lawyer, and John Ashton's character from Attack of The Killer Tomatoes II.
Paranoia allows for metagamming at its finest.