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[Bug-gnubg] Gammon theory


From: Ian Shaw
Subject: [Bug-gnubg] Gammon theory
Date: Mon, 12 Aug 2002 11:36:50 +0100

Analyse...Gammon Values brings up the Theory popup with the Market Window
tab displayed. It should have the gammon values tab displayed, otherwise it
is the same as Analyse...Market Window.

Alternatively you could replace both with an Analyse...Cube Action menu
item.

_________________

I'm not sure what the Gammon Value means. Consider playing for the gammon
leading 3-away 5-away while holding a 2-cube.
My Gammon Value = 0.8571

If I win gammon I win the match
If I win single I get to Crawford 5-away = 85% (W-H MET)
If I lose I'm at 3-away 3-away = 50%

My Gammon Price is traditionally (100-85)/(85-50) = 15/35 = 0.4287. This is
exactly half the Gammon Value.

Opp Gammon Value = 1.4286

If Opp wins gammon he is Crawford 3-away = 75%
If Opp wins single he is 3-away 3-away = 50%
If Opp loses he is 5-away Crawford = 15%

Opp's Gammon Price is traditionally (75-50)/(50-15) = 25/35 = 0.5714, again
half the Gammon Value.


My backgammon value is listed as 0, but a gammon is worth exactly the same
as a gammon. Unless you are referring to bg compared to gammon, in which
case there is no value. 

In that case, though, my opponents bg value should be different to his
Gammon value because the extra point wins the match. 

Opp Backgammon Value = 1.4286

If Opp wins bg he wins the match
If Opp wins single he is 3-away 3-away = 50%
If Opp loses he is 5-away Crawford = 15%

Opp's Gammon Price is traditionally (100-50)/(50-15) = 50/35 = 1.4286 which
matches.


Ian Shaw






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