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A game is played as follows. There is a set $X = \{1, \ldots, n\}$. Player 1 is trying to find a "locally minimal subset" $M \subseteq X$ - that is, player 2 has said that $M$ is good, and also that ...

No, not the war on drugs, but the game of War considered in Does War have infinite expected length? As noted in that discussion, the game of war can go on forever, but my question is: can it be ...