9

Does every situation (except where the Queen team gets mated or the Queen is captured immediately) result in a win for the Queen team? Or can the Rook team, by perfect play, force a stalemate?

  • 2
    There should be positions on 16x16 board where queen can't break defense, but on standard 8x8 any draw or loss is caused only by immediate tactics – hoacin Aug 7 '17 at 9:10
15

Mate is always possible, except in the cases you've outlined already. From Wikipedia:

A queen wins against a lone rook, unless there is an immediate draw by stalemate or due to perpetual check (Nunn 2002a:49) (or if the rook or king can immediately capture the queen). ... With perfect play, in the worst winning position, the queen can win the rook or checkmate within 31 moves (Müller & Lamprecht 2001:400).

  • 1
    When did that change? I could have sworn the worst case for queen vs rook took 127 moves? – Shufflepants Aug 7 '17 at 15:31
  • 2
    @Shufflepants I think you've misremembered. Thomas Ströhlein solved KQ-KR by tablebases in 1970, according to Wikipedia. – David Richerby Aug 8 '17 at 0:29

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