Multi-player Wythoff’s game and its variants

Abstract Wythoff’s game is a well-known 2 -player impartial combinatorial game, introduced by W.A. Wythoff in 1907. In recent years, many scholars studied the variants of Wythoff’s game, including mainly extensions and restrictions, with fruitful results achieved. One way of solving n -player impartial games was presented by W.O. Krawec in 2012. We employ Krawec’s function in this paper to analyze n -player Wythoff’s game and its nine restricted versions. The game values are completely determined for all ten n -player impartial games.