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.
翻译:战争迷雾象棋是经典象棋的一种流行变体,其中双方玩家仅掌握对手棋子位置的部分信息。本研究首次对战争迷雾象棋的残局进行了理论分析。具体而言,我们分析了王与后对王、王与车对王,以及王与双车对王的局面。我们证明了王与后总能确保战胜孤王。与经典象棋不同,王与车无法确保战胜孤王。然而,增加一个车即可确保胜利。