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23. november 2005, 17:34:08
grenv 
Emne: Re: Draws?
tonyh: Reasonable it may be, but the rules of the game don't allow it.

Drawing a 2 game series is only a little better, but I don't agree that the ratings should be affected at all.

e.g if you stood to gain 4, -2, -8 (for w/d/l) and you are evenly matched your expected loss for one game is -2

In a 2 game match:
win 25% = 1
loss 25% = -2
draw 50% = -1
for an expected change of -2. exactly the same!!!

but for example if you were a better player and win 55% of the games then the expected results are:

single game .55x4-.45x8 = -1.4
2 game match
win 30.25% (1.21)
loss 20.25% (-1.62)
draw 49.5% (-0.99)
1.21-1.62-0.99 = -1.4, in fact it's always the same!

QED

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