Theoretical analysis reveals that the Break and Take game reduces to Nim, indicating that Bouton's classic strategy solves combinatorial variants with interactive moves.
SummaryThis article is about a combinatorial game that was inspired by Nim and Grundy’s Game. However, compared to conventional combinatorial games, the players influence each other’s moves to a certain extent. Despite this special feature, we will see, however, that the game can still be considered a Nim game. The solution is closely related to Bouton’s winning strategy for the game of Nim.
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Daniel Dieser (2026) studied this question.
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