Interesting Esoterica

Transfinite Version of Welter's Game

Article by Tomoaki Abuku
  • Published in 2017
  • Added on
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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BibTeX entry

@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},
	year = 2017
}