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Balancing uneven team games - An attempt at quantifying the advantage of the larger team

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Date Editor Before After
7/1/2023 6:51:49 PMDErankdunno before revert after revert
Before After
1 Rendered notebook here (for ease of including plots and formulas): 1 Rendered notebook here (for ease of including plots and formulas):
2 \n 2 \n
3 * https://jklw. github. io/WHR-ZeroK/posting1. html 3 * https://jklw. github. io/WHR-ZeroK/posting1_v2. html
4 \n 4 \n
5 Summary: Uneven team games should probably be balanced such that the smaller team has about 50-200 higher average Elo than the larger team (depending on the specifics). Also a little background on how WHR (which I had to reimplement here) works mathematically. 5 Summary: Uneven team games should probably be balanced such that the smaller team has about 50-200 higher average Elo than the larger team (depending on the specifics). Also a little background on how WHR (which I had to reimplement here) works mathematically.
6 \n 6 \n
7 The code is [url=https://github.com/jklw/WHR-ZeroK]here[/url], though parts of the notebooks other than posting1.ipynb have already bitrotten, and I didn't include the input data (not sure if there are any privacy issues), nor the sampling traces (which are needed to run posting1) because they are about 16 GB :) You can recreate these by running the initial (still working) parts of whr_cumsum_matrix_model.ipynb and then whr_fixed_rating_model.ipynb though (after downloading malric's data). 7 The code is [url=https://github.com/jklw/WHR-ZeroK]here[/url], though parts of the notebooks other than posting1.ipynb have already bitrotten, and I didn't include the input data (not sure if there are any privacy issues), nor the sampling traces (which are needed to run posting1) because they are about 16 GB :) You can recreate these by running the initial (still working) parts of whr_cumsum_matrix_model.ipynb and then whr_fixed_rating_model.ipynb though (after downloading malric's data).
8 \n 8 \n
9 I used @malric's data from [url=http://zerok-local-analysis.s3-website.eu-west-3.amazonaws.com/release2023-06-11-02/]Zero-K Local Analysis[/url] (thanks!); if there's interest by the admins, I could re-run this stuff on a DB dump (of game dates, teams and outcomes) as a check. 9 I used @malric's data from [url=http://zerok-local-analysis.s3-website.eu-west-3.amazonaws.com/release2023-06-11-02/]Zero-K Local Analysis[/url] (thanks!); if there's interest by the admins, I could re-run this stuff on a DB dump (of game dates, teams and outcomes) as a check.