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Two-player turn-based perfect-information games, surreal numbers, impartial games and Sprague-Grundy theory, partizan games
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What is a description of winning strategies in this tile game?
Maybe I'm missing something, but it seems that if player 2 lands away from one of the extremal tiles in less than $d$ turns, (s)he has lost (since, then player 1 can order player 2 to move n-1 places) …