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Two-player turn-based perfect-information games, surreal numbers, impartial games and Sprague-Grundy theory, partizan games

45 votes

A game on Noetherian rings

I computed the nimbers of a few rings, for what it's worth. I don't see any sensible pattern so perhaps the general answer is hopelessly hard. This wouldn't be surprising, because even for very simple …
Kevin Buzzard's user avatar
9 votes

Neutral tic tac toe

For what it's worth, here are a summary of the answers so far for the Misere game: 1x1: P2 win (poisoned chalice) 2x2: P1 win (P1 makes an arbitrary move) 3x3: P1 win (P1 plays in the centre, and h …