# Transfinite Version of Welter's Game

• Published in 2017
In the collections
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.

### 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
}