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grenv: No. I was discussing the case where the winner will be determined on SB points (the case of a sole winner I have already described - that's both trivial and efficient). For SB points, all games in the tournament are relevant, even of players that have no chance of winning. (Ok, ok, if there are two players A and B that have the most points (and hence their scores are tied) and there are players C and D that both won all their games against A and B, the outcome of the games between C and D doesn't matter for the SB points of A and B).
Remember that the SB of a player i equals Σ s_j P_j, (summing over all opponents j), with s_j the score i got in his game(s) against j, and P_j the total number of points j got.