MDOS

    Keywords: Tournament

MDOS - Mean of Defeated Opponents' Scores is a possible tiebreaker. It is an alternative to SODOS.

MDOS is calculated by adding together the MMS of each opponent you defeated and dividing that by your number of wins. (Should jigo be available then half the MMS of the opponent you drew with would be added. The win count would also be incremented by a half.) In this way it can be said to indicate the average 'performance strength' of the opponents a player defeated.

It will not be influenced by the number of wins a player has, something which cannot be said of SODOS, whose value can change depending on the [ext] chosen origin of the McMahon bar.

So far, MDOS is a theoretical tie breaker, it has not been used in any tournaments.


Discussion

pwaldron: The influence of the number of wins a player has is still there, but it's reduced. Consider player A, who starts with an initial McMahon score of 0 and wins 5 games, and player B, who starts with an initial McMahon score of 1 and wins 4 games.

If player A wins and player B loses their first games, then the two players will have the same McMahon score in round 2 and should be treated equivalently. If the two players meet equivalent opposition then those opponents should effectively cancel each other out in the tiebreaks. But player A's first opponent will also be in the mix, and on average he'll post a weaker score than the other opponents that A and B faced, which will in turn bias the results in B's favour.

Bass: To me it looks like this is exactly what the tie breaker is trying to measure. The player who wins early is likely to have an edge in MDOS, and the initial MMS does count as wins for any other purpose too.

isd: I calculated a few tiebreak scores for MDOS (or whatever you want to call it) and found that they generally gave the same result as SODOS. The one key advantage I see is that they don't suffer from the MM-bar origin choice problem that can cause different results.


This is a copy of the living page "MDOS" at Sensei's Library.
(OC) 2014 the Authors, published under the OpenContent License V1.0.
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