English

A New Algorithm for the Subtraction Games

Computer Science and Game Theory 2012-08-31 v2

Abstract

Subtraction games is a class of combinatorial games. It was solved since the Sprague-Grundy Theory was put forward. This paper described a new algorithm for subtraction games. The new algorithm can find win or lost positions in subtraction games. In addition, it is much simpler than Sprague-Grundy Theory in one pile of the games.

Keywords

Cite

@article{arxiv.1208.3832,
  title  = {A New Algorithm for the Subtraction Games},
  author = {Guanglei He and Zhihui Qin},
  journal= {arXiv preprint arXiv:1208.3832},
  year   = {2012}
}

Comments

5 pages, 3 figures

R2 v1 2026-06-21T21:52:38.212Z