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- W1992351232 abstract "It has long been an unsolved problem whether the king, bishop and knight can win against the king alone in the game of kriegspiel. In this paper, it is shown that in general (say, with king initially guarding both bishop and knight), the player with bishop and knight can win with probability one. The proof is constructive; a general procedure for winning is explicitly exhibited. In addition, it may be assumed that the player with king alone plays with full knowledge of the past moves of his opponent. The winning procedure involves randomization and so no upper bound can be placed on the number of moves required to mate. With king, bishop and knight initially on h8, g8 and h7, respectively, the expected number of moves required by the proposed winning strategy is less than 100. Whether or not there exists a strategy that guarantees mate within a fixed number of moves is still unknown." @default.
- W1992351232 created "2016-06-24" @default.
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- W1992351232 date "1992-04-01" @default.
- W1992351232 modified "2023-09-25" @default.
- W1992351232 title "Mate with bishop and knight in kriegspiel" @default.
- W1992351232 cites W170020837 @default.
- W1992351232 doi "https://doi.org/10.1016/0304-3975(92)90344-f" @default.
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