For anyone looking to practice some expected value calculations, there is a format from Finland that is ‘interesting’ to say the least.
Link to the bracket is here:
It’s top16 double elimination bracket best of 5 on winners side and best of 3 on losers side.
This bracket has top4 double byes and top8 byes.
It has a weird 3-player match on losers side on second round,
Final is best of seven, but starting 1-0 for the player advanced from the winners side.
In my old standardized test days, I would just answer “C” and move on. I’m also all out of Advil trying to figure this out myself, so figured it was worth offering a math problem to the Bowen/Jeff Palmer’s of the world
Question about this year’s qualifying games though… If players have the option to skip qualifying completely and just be seeded into the bracket, should those games count toward TGP if some people don’t play them? Maybe that would depend on whether or not anyone actually chooses to go that route?
We’re kind of ignoring the fact that the B division winner enters the A bracket, so a person ‘not qualifying’ and then working their way through the B bracket to enter the A division will likely be more games played than the number of qualifying games played . . . so we’re calling it a ‘push’ for TGP purposes.
Sorry, I should have been more specific. I was referring more to someone who is A restricted and either chooses not to play qualifying games (unlikely) or doesn’t make it to Expo until after qualifying has ended and is randomly placed at the bottom of the A bracket.
For the tournament directors out there: Why do you make these complicated formats? I’m genuinely curious.
As a player my eyes glaze over after two sentence and I stop paying attention. I know others are the same way because we all have to ask the TD the same questions (“I won my game, what happens now?”)
I got 21.52 overall TGP. The format for the finals results in the winner coming from that side about 66% of the time. The winner’s side was pretty easy to calculate and is just over 20 TGP. The loser’s side is a bit messier but comes to just under 24 TGP. Taking them together results in 21.52 TGP. The spreadsheet I used for calculations is here: https://docs.google.com/spreadsheets/d/1B1i9Fn2loc1H2sJKV5rBHzHkc578UpN07Uy1PT8ISP4/edit?usp=sharing
I used 4.125 as the expected number of games played for a best of 5. I think 4 was used in other TGP calculations. If you use 4 instead, it rounds down to 21 TGP for the tournament.