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A better approch?

Posted By: eXtreme Gammon
Date: Sunday, 1 November 2009, at 6:12 p.m.

In Response To: A better approch? (Timothy Chow)

Let me understand exactly what you're saying here. Are you sure that you're going to display the chance that it can be the best, or just the chance that it can be better than the top-scoring play?

Yes I mean the chances that each move has to be the best overall.
It took me a while to find out how to do it.

for instance
is Player 2

score: 0
pip: 102
Money session
pip: 95
score: 0

is Player 1
XGID=-a--ECCbB----B-----bbbbbb-:2:-1:1:14:0:0:0:0:8
to play 14

1.Rollout16/2 5/4eq: -0.264
Player:
Opponent:
46.11% (G:3.97% B:0.17%)
53.89% (G:14.06% B:0.21%)
Conf: ± 0.028 (-0.292...-0.236)
Duration: 0.0 second
2.Rollout113/8eq: -0.275 (-0.011)
Player:
Opponent:
42.03% (G:5.25% B:0.21%)
57.97% (G:6.80% B:0.08%)
Conf: ± 0.023 (-0.298...-0.252)
Duration: 0.0 second
3.Rollout16/1*eq: -0.278 (-0.014)
Player:
Opponent:
44.19% (G:7.67% B:0.24%)
55.81% (G:17.30% B:0.23%)
Conf: ± 0.023 (-0.301...-0.255)
Duration: 0.0 second
4.1 ply8/4 6/5eq: -0.575 (-0.311)
Player:
Opponent:
36.32% (G:3.26% B:0.14%)
63.68% (G:11.77% B:0.11%)
5.1 ply8/4 5/4eq: -0.607 (-0.343)
Player:
Opponent:
35.03% (G:2.86% B:0.12%)
64.97% (G:11.52% B:0.11%)
1 162 Games rolled with Variance Reduction.
Moves and cube decisions: 1 ply

eXtreme Gammon Version: 1.10.pre-release

6/2 5/4 has 63.1% chance to the best

13/8 has 22.0%

6/1* has 14.9%

Note the equity and sd are (with more decimals)

e=-0.2641669 s=0.0145117
e=-0.2748757 s=0.0115227
e=-0.2783770 s=0.0119285

It would be great if someone can validate these numbers.. I am pretty sure that's right (again assuming normal and independence). But extra validation never hurts.

thanks,

Xavier

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