Personally, I staved off fatigue in a meeting once by thinking about strategies for my favourite games. There I would be, almost nodding off, when suddenly I would think "7 Wonders, you get points from military, blue cards, and science. You really can only affect those to each side of you, so..."
Or "Ghost Stories. Certainly a luck element. I think maybe if we play to try and make sure no board ever gets completely full, that would help our chances..."
I could go on. But it was a great career-saving move.
I usually just try to picture whomever is speaking naked.