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I see no good reason for making a blanket rule like: 'Draw offers are not allowed'. In his detailed notes to Scirocco (1999) Adrian King wrote: 'It is conceivable that both players may be reduced to a small number of weak but highly mobile pieces, so that the repetition rule must be invoked to determine who wins the game. For example, each player might have an Emperor and a Harpy. In this case, the 2 sides can wander aimlessly about the board for an astronomical number of moves before the repetition rule finally cuts off one player or the other, and figuring out which player will lose is an absurdly difficult proposition (I think. I haven't actually tried to prove this; there may be some mathematical shortcut that makes the winner in this case obvious). In such a case, unless the players are particularly pigheaded, they should agree to the draw.'