Abstract
Letting a = 1 in a- Wythoff’s game introduced by Fraenkel yields Wythoff’s game which is a well-known 2-player impartial combinatorial game introduced by Wythoff in 1907. A method of solving n-player impartial games was presented by Krawec in 2012. In this paper, we employ Krawec’s function to analyze n > 2 players a-Wythoff’s game and obtain game values for all a 1. The results obtained cover n-player Wythoff’s game, a special case 1-Wythoff’s game.
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Foundation item: Supported by the National Natural Science Foundation of China (61373174)
Biography: LI Haiyan, female, Ph.D. candidate, research direction: game theory, discrete optimization.
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Li, H., Liu, S. a-Wythoff’s game with n players. Wuhan Univ. J. Nat. Sci. 22, 57–62 (2017). https://doi.org/10.1007/s11859-017-1216-7
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DOI: https://doi.org/10.1007/s11859-017-1216-7