Today's brain twister is how to think about strategy for this game: http://www.cameronius.com/games/mutton/ Basically, it's a deduction game where the wolf hides among the sheep and periodically eats one. The farmer is trying to shoot the "sheep" he suspects are actually wolves in disguise. My two guiding thoughts are (1) that any identifiable strategy by either player leaks a lot of information, which leads to that strategy being ineffective. For example, it's clearly advantageous for the wolf be be adjacent to as many sheep as possible, to make himself harder to identify - but if the wolf always runs to hide among the largest number of sheep, he's very easy to identify. (2) which leads to the thought that a completely random strategy might be best. But some actions are so clearly non-optimum that they ought to be excluded completely. For example, eating the only adjacent sheep unequivocally identifies the wolf. It seems like some sort of Nash equilibrium must exist, but there probably are too many possibilities to make a complete analysis practical.