English

A mis\`ere play $\star$-operator

Combinatorics 2016-08-26 v1

Abstract

We study the \star-operator (Larsson et al. 2011) of impartial vector subtraction games (Golomb 1965). Here we extend the notion to the mis\`ere-play convention, and prove convergence and other properties; notably more structure is obtained under mis\`ere-play as compared with the normal-play convention (Larsson 2012).

Keywords

Cite

@article{arxiv.1608.06996,
  title  = {A mis\`ere play $\star$-operator},
  author = {Matthieu Dufour and Silvia Heubach and Urban Larsson},
  journal= {arXiv preprint arXiv:1608.06996},
  year   = {2016}
}

Comments

17 pages, 9 figures

R2 v1 2026-06-22T15:30:00.800Z