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The modern method

Posted By: Nack Ballard
Date: Tuesday, 14 June 2011, at 2:50 a.m.

In Response To: The modern method (neilkaz)

Below, B is the Bye player. The winning N (Non-bye player) is listed second. The losing N (Non-bye player) is listed third. The prize fund is $12,000. The number after the equals sign is the number of thousands (or 12ths) a player wins. In parentheses is each player's win-loss record.

Original

    B = 6 (1-0) or 2 (0-1)
    N = 5 (1-1) or 9 (2-0)
    N = 1 (0-1) or 1 (0-1)

New

    B = 6 (1-0) or 2 (0-1)
    N = 4 (1-1) or 8 (2-0)
    N = 2 (0-1) or 2 (0-1)

The two methods are identical except that in the new/smooth method the two N's (Non-bye players) have forcibly hedged 1/12 of the prize fund. for sure this should appeal to the weaker player. :)

If smoothness (reducing the amount riding on the final matches) is the primary objective, it is possible to "improve" it further (e.g., B = 5 or 3, N = 5 or 7, N = 3 or 3, guaranteeing all three players at least 1/4 of the prize fund).

Purely from an equity perspective, the original method is better for the stronger player. "Better" still (albeit extreme) would be: B = 8 or 0, N = 4 or 12, N = 0 or 0.

Nack

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