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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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For which number of pairs is it an advantage to start in memory

There is also an older paper which the above thesis doesn't refer to: U. Zwick & M. S. Paterson, "The memory game", Theoretical Computer Science 110 (1993), 169-196. I havent looked at the details.
Kasper Andersen's user avatar