Transfinite Version of Welter's Game

• Published in 2017
• Added on 2017-02-06

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.

Links

• http://arxiv.org/abs/1701.08928v1
• http://arxiv.org/pdf/1701.08928v1

Other information

BibTeX entry

@article{TransfiniteVersionofWeltersGame,
	key = {TransfiniteVersionofWeltersGame},
	type = {article},
	title = {Transfinite Version of Welter's Game},
	author = {Tomoaki Abuku},
	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.},
	comment = {},
	date_added = {2017-02-06},
	date_published = {2017-07-10},
	urls = {http://arxiv.org/abs/1701.08928v1,http://arxiv.org/pdf/1701.08928v1},
	collections = {Protocols and strategies,Games to play with friends,Combinatorics},
	url = {http://arxiv.org/abs/1701.08928v1 http://arxiv.org/pdf/1701.08928v1},
	urldate = {2017-02-06},
	archivePrefix = {arXiv},
	eprint = {1701.08928},
	primaryClass = {math.CO},
	year = 2017
}