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Sep 5, 2010 at 13:52 comment added Kevin O'Bryant @Hugo: you're assuming that a stable cyclic formation is the way to have an infinite game. Here's another game to try the reasoning on: Pick a random rational (somehow), and then add it to itself until you get an integer. Variation: Pick a random rational, and then add it to your running total until you get an integer. In the variation, the randomness makes it much easier to have an infinite game.
Sep 5, 2010 at 6:33 comment added dakota On the other hand the randomness assumption is a statistical one, therefore the proof may be informative in cases of, sufficiently defined, pseudorandomness.
Sep 4, 2010 at 9:12 comment added Hugo van der Sanden Moving the played cards to the bottom of the winner's stack in random order makes it much harder to retain a stable cyclic formation, so this result seems not at all surprising, and minimally informative about the answer for any variant without the randomness.
Jul 9, 2010 at 13:30 comment added Joel David Hamkins Great !
Jul 9, 2010 at 13:16 history answered Kevin O'Bryant CC BY-SA 2.5