MATE WITH THE TWO BISHOPS IN KRIEGSPIEL
Thomas S. Ferguson
In kriegspiel, it is known that in general position with no immediate
loss of a piece, mate with the rook can be accomplished surely, and
mate with the bishop and knight can be accomplished almost surely.
In this paper the problem of mate with the two bishops is
considered. It is shown that this is a win for the player with the
two bishops. Interestingly, there does not exist a strategy that
wins with probability one if the king and two bishops are in the
center of the board, say King at d4, Bishop at d5 and Bishop at e5.
However, if the king and two bishops are along an edge, say King at
b4, Bishop at b3, and Bishop at c3, then mate may be accomplished
surely, and in the suggested position, mate may be accomplished in
at most 32 moves. Some consideration is also given to larger sized
boards and to an infinite quadrant.