Puzzle Answers (sane and less sane)

I posted puzzles about Rock-Paper-Scissors on Thursday. One person got both answers, in the comments on DreamWidth, and you can check that out if you want the short version. I'll throw in extra thoughts here, including an idea of how even the "right" answer might become problematic.

( Solutions and rambling. Simultaneous equations, and an abortive look at the Prisoner's Dilemma. )