English

Transfinite Version of Welter's Game

Combinatorics 2019-05-14 v2

Abstract

We study the transfinite version of Welter's Game, a combinatorial game played on a belt divided into squares numbered with general ordinal. In particular, we give 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.

Keywords

Cite

@article{arxiv.1701.08928,
  title  = {Transfinite Version of Welter's Game},
  author = {Tomoaki Abuku},
  journal= {arXiv preprint arXiv:1701.08928},
  year   = {2019}
}
R2 v1 2026-06-22T18:04:53.672Z