Abstract

Abstract Derived from the game of Nim, we present well-known Wythoff's game as a special case of two “larger” types of combinatorial games: • The domination game. We explain that lots of combinatorial games can be con sidered as domination games on a specific graph (called the move-graph). • The three-vectors game. It has been constructed as a geometrical extension of Wythoff's game. We give the sets of losing positions of this game in several cases.

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