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PR and mwc

Posted By: Christian Plenz
Date: Friday, 9 September 2011, at 11:38 a.m.

In Response To: Blundering early vs. blundering late: UBK's example revisited (Kevin Whyte)

Thats true. Although they are similar strong in the way we have proven, Nelly never plays a PR 0.0

Don plays a 0.0 82.4% of times and his normalized emg in the long run makes him looking the better player with lower PR

They both blunder away 8.81% in the long run.

Nellie does this in the first game with effectively starting at 0-1 (so he has to win 11(+) out of the next 20 games = 41.19% chance instead of 50% at 0-0

Don only blunders at DMP. From all scoring distributions to reach DMP is most likely (17.62%). So he blundersd away 17.62%*0.5 = 8.81%. He always starts with 1-0 against Nellie but that does not make DMP more unlikely. Starting at 0-0 against a perfect playing opponent or starting at 1-0 has the same probability to reach DMP (winning 10 out of 20 or 10 out of 19 games).

When they play each other the match winning chances are 50% and the luck result if perfectly balanced out is 0. Against a perfect opponent they both have 41.19% match winning chances

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