Given the difficulty for humans to win the queen versus rook chess endgame against perfect play, how well does a human fare beginning the game with queen for a rook odds? (Human removes one rook, computer removes a queen. Possibly permit the human to castle with absent rook.)
Vaguely relevant is a human can reliably win with knight odds despite knight versus bare king being a theoretical draw (Rybka vs Meyer 2008).
Another way to implement the odds is that the computer's first pawn promotion cannot be to a queen (so, probably rook). Or, all pawn promotions cannot be to queen. Balanced pawn races may result in queen versus rook endgames because the human can promote to queen.
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