Around Wythoff's game

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.