So I apologize ahead of time if this isn't the correct venue for this question. I've been having a debate with a friend of mine for a few days now about what the best way to run a bracket is for a tournament I am having for a video game. No need to know anything about the video game at all, purely that there is not a single option of play. There are multiple characters and stages, which add variance as opposed to a game like chess, where there is only one thing at play, who goes first, and your mind.
Is there any way to attribute a number to measure accuracy in any way, shape, or form, to the following ways of running a tournament.
Log (base 2) of the # of entrants will give you the amount of rounds of Swiss you need to run.
Taking this # of rounds, I have a few different options.
- Swiss->Double Elimination Bracket: I would use Swiss, and take the top 8 from those results and place them in a double elimination bracket.
- Swiss->Single Elimination Bracket: I would use Swiss, and do the same, but place them in a Single Elim instead.
- Only a Double Elimination Bracket.
In my mind, the difference in accuracy between #1 and #2 is not THAT much different, and I feel #3 is obviously the worst of the 3.
My friend is telling me that I am terribly sacrificing accuracy by doing #1, when I think the amount sacrificed is trivial.
How would I mathematically calculate these things?