An interesting simple number game to wile away some time (and thought) from "MindYourDecisions" blog:
http://mindyourdecisions.com/blog/2011/08/30/a-fun-number-elimination-game-who-will-win/
[...including an explanation of how it always plays out from different initial conditions -- i.e., the ending is automatically (mathematically) determined as soon as the initial set-up is established.]
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