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NG Opening 52

Posted By: Nack Ballard
Date: Saturday, 17 July 2010, at 10:49 a.m.


2O2O ' ' '4X '3X ' ' '4O

2X2X ' ' '4O '3O ' ' '4X

Opening 52


The question was first posed in this thread.

How do you play opening 52 in Nackgammon?

The three bots are in basic agreement. The money rollouts are:

Snowie .. [Q Z10 S16 z19] 10k
GnuBG .. [Q Z5.3 z8.8 S15 R34 U57 C58] 62k 46kS 5k
XG 3-ply [Q z11 Z13 S24 R36 U50] 62k 31kR 15k

And Gnu's rollout results at other scores are:

d[Q Z11 z16 S20 R20 U29] 20kQZ 13kS 10k
s[Z z9 Q12 S25 U36] 31k 10kS 5k
g[Z z4 S8 Q9 U32] 31k 20kQ 5k

Key: Q = Quadruple split (24/22 23/18), Z = reverse split (23/21 13/8), z = alt reverse split (24/22 13/8), S = Split (23/18 13/11), R = Run (23/16), U = Up (23/21 23/18), C = Cross (23/18 8/6). Error sizes are in thousandths.

Before the brackets, d = dmp, s = (gammon) save, g = (gammon) go; else assume money. Number of trials ("k") is in thousands, rounded down. For example, "Q Z10 S16 z19] 10k" means that (for money) Q is best, Z is -.010, S is -.016 and z is -.019, after 10000+ trials.

In short, Q (Quadruple split, 24/22 23/18), chosen by David, aoleg1, and Christian, is best for money and dmp.

The "agg" (bot aggregate) can be summarized as [Q Z9 z12 S19 R35 U53 C58]. Those seven plays are diagrammed below, in order of (money) rollout strength.


1O1O1O ' '4X1O3X ' ' '4O

2X2X ' ' '4O '3O ' ' '4X

Blue played Q (best)



2O1O '1O '4X '3X ' ' '3O

2X2X ' ' '4O '4O ' ' '4X

Blue played Z (-.009), best at GS and GG



1O2O1O ' '4X '3X ' ' '3O

2X2X ' ' '4O '4O ' ' '4X

Blue played z (-.012)



2O1O ' ' '4X1O3X ' ' '3O

2X2X ' ' '4O '3O ' '1O4X

Blue played S (-.019)



2O1O ' ' '4X '3X1O ' '4O

2X2X ' ' '4O '3O ' ' '4X

Blue played R (-.035)



2O ' '1O '4X1O3X ' ' '4O

2X2X ' ' '4O '3O ' ' '4X

Blue played U (-.053)



2O1O ' ' '4X1O3X ' ' '4O

2X2X ' ' '5O '2O ' ' '4X

Blue played C (-.058)


Again, agg for NG opening 52 is: [Q Z9 z12 S19 R35 U53 C58]

Nack

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