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GG/GS versus GG+/GS+

Posted By: David Levy
Date: Thursday, 16 May 2013, at 9:14 p.m.

In Response To: Gammon Go (GG) and Gammon Save (GS) Considerations (Rick Janowski)

Theoretically, it seems sound to express Rick's conclusions in terms of GG+ and GS+ rather than GG and GS, because, as he says in a followup post "GG+ and GS+ are better representatives of the extremes of pre-Crawford scores."

At a practical level, I can imagine two different things happening as one moves from GG/GS to GG+/GS+.

First, the best checker play could actually change. Does this actually happen, say with replies to opening moves? How frequently?

Second, the spreads between the best move and other choices will be different at GG/GS versus GG+/GS+. For a quick example consider the 4-1 opening at GG and GG+:





White is Player 2

score: 1
pip: 167
2 point match
Crawford
pip: 167
score: 0

Blue is Player 1
XGID=-b----E-C---eE---c-e----B-:0:0:1:41:0:1:1:2:10
Blue to play 41

1.Book113/9 6/5eq: +0.301
Player:
Opponent:		50.16% (G:14.91% B:1.42%)
49.84% (G:18.64% B:3.07%)		Conf.: ± 0.002 (+0.299...+0.304) - [100.0%]
2.Book124/23 13/9eq: +0.292 (-0.009)
Player:
Opponent:		50.20% (G:14.42% B:1.35%)
49.80% (G:16.49% B:1.93%)		Conf.: ± 0.002 (+0.290...+0.294) - [0.0%]
1 Generated by GameSite 2000, Ltd on 2/26/2011 using eXtreme Gammon 2.00
20736 Games rolled with Variance Reduction.
Dice Seed: 34567
Moves and cube decisions: 3-ply

eXtreme Gammon Version: 2.10, MET: Kazaross XG2
White is Player 2

score: 2
pip: 167
4 point match
pip: 167
score: 0

Blue is Player 1
XGID=-b----E-C---eE---c-e----B-:0:0:1:41:0:2:0:4:10
Blue to play 41

1.Book113/9 6/5eq: +0.377
Player:
Opponent:		49.95% (G:14.73% B:1.22%)
50.05% (G:17.62% B:3.02%)		Conf.: ± 0.005 (+0.372...+0.382) - [100.0%]
2.Book124/23 13/9eq: +0.352 (-0.025)
Player:
Opponent:		50.22% (G:14.45% B:1.23%)
49.78% (G:16.03% B:1.98%)		Conf.: ± 0.005 (+0.348...+0.357) - [0.0%]
1 Generated by Neil Kazaross on 6/18/2011 using eXtreme Gammon 2.00
12960 Games rolled with Variance Reduction.
Dice Seed: 83467239
Moves and cube decisions: 4-ply

eXtreme Gammon Version: 2.10, MET: Kazaross XG2

Is this increased spread between the plays what makes it a more useful basis for considering the "aggression index?"

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