Transfinite Version of Welter's Game
- Published in 2017
- Added on
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We study the transfinite version of Welter's Game, a combinatorial game, which is played on the belt divided into squares with general ordinal numbers extended from natural numbers. In particular, we obtain a straight-forward solution for the transfinite version based on those of the transfinite version of Nim and the original version of Welter's Game.
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@article{TransfiniteVersionofWeltersGame, title = {Transfinite Version of Welter's Game}, abstract = {We study the transfinite version of Welter's Game, a combinatorial game, which is played on the belt divided into squares with general ordinal numbers extended from natural numbers. In particular, we obtain a straight-forward solution for the transfinite version based on those of the transfinite version of Nim and the original version of Welter's Game.}, url = {http://arxiv.org/abs/1701.08928v1 http://arxiv.org/pdf/1701.08928v1}, author = {Tomoaki Abuku}, comment = {}, urldate = {2017-02-06}, archivePrefix = {arXiv}, eprint = {1701.08928}, primaryClass = {math.CO}, collections = {Protocols and strategies,Games to play with friends,Combinatorics}, year = 2017 }