English

Fog of War Chess

Computer Science and Game Theory 2026-01-28 v1

Abstract

Fog of War chess is a popular variant of classical chess, in which both players have only partial information about the position of the opponent's pieces. This study provides the first theoretical analysis of endgames in Fog of War chess. In particular, we analyze the setups king and queen versus king, king and rook versus king, and king and two rooks versus king. We show that a king and queen can always guarantee a win against a lone king. In contrast to classical chess, a king and a rook cannot guarantee a win against a lone king. However, adding one more rook guarantees a win.

Cite

@article{arxiv.2601.18813,
  title  = {Fog of War Chess},
  author = {Matthias Gehnen and Julius Stannat},
  journal= {arXiv preprint arXiv:2601.18813},
  year   = {2026}
}

Comments

21 pages, 13 figures

R2 v1 2026-07-01T09:20:57.134Z