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Transitive Avoidance Games
2017
the electronic journal of combinatorics
unpublished
Positional games are a well-studied class of combinatorial games. In their usual form, two players take turns to play moves in a set ('the board'), and certain subsets are designated as 'winning': the first person to occupy such a set wins the game. For these games, it is well known that (with correct play) the game cannot be a second-player win. In the avoidance (or misère) form, the first person to occupy such a set loses the game. Here it would be natural to expect that the game cannot be a
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