Match Equities

Forum Archive : Match Equities

 
Which match equity table is best?

From:   Ian Shaw
Address:   ian.shaw@iee.org
Date:   7 December 2001
Subject:   Re: Match equity tables
Forum:   rec.games.backgammon
Google:   AW0Q7.1444$Jm.76789@stones

I use the Woolsey-Heinrich MET, because I can remember it! Well, almost. I
learnt the 1-away & 2-away values, and use Neil's Numbers for the rest.
http://www.gammonline.com/demo/equity.htm

The most scientific comparison I know of is by Kit Woolsey. GammOnLine
subscribers can check out this discussion by Kit Woolsey.
http://www.gammonline.com/members/Jan01/articles/sneq.htm. Kit writes,

"Snowie assumes a gammon rate of 26%, while for my table I assumed a gammon
rate of about 21%. I agree that Snowie's gammon rate is more accurate in
theory. In practice most backgammon players (even experts) do not play
aggressively enough for a gammon, since they are more concerned about
winning the game. Thus the empirical gammon rate is considerably lower than
Snowie's theoretical rate."

Ian

Gregg Cattanach  writes:

I use the Woolsey table because 1) I believe the gammon rate assumtions are
more valid, and 2) there are several very simple algorithms to compute all
of the ME values in your head.  I don't know any method to create Snowie's
numbers with some simple algorithm, and it isn't practical to use Snowie's
numbers which are expressed in 10ths of percentages.  Only a trivial number
of people could effectively do 3 digit precision math for ME calculations
in their head.  Snowie's tables generally only differ from Woolsey's by
1.5% or less.  Granted this can have an effect on a close decision, but
over the board that precision isn't really required.

Btw, my favorite method of coming up with the Woolsey numbers is the Turner
method:

50 + (24/T + 3) * D where T is the number of points the trailer has to go
and D is the differences in scores.  This gets to within 1% of the Woolsey
number for all scores up to 11-a, 11-a, except you should at 2% to the
results for 2-a 5-a to 2-a 8-a.  Also, you just need to memorize the
Crawford score sequence: 30,25,17,15,10,9,6,5,3,3,2,2,1,1 as the formula
doesn't work for those scores.

Gregg
 
Did you find the information in this article useful?          

Do you have any comments you'd like to add?     

 

Match Equities

Constructing a match equity table  (Walter Trice, Apr 2000) 
Does it matter which match equity table you use?  (Klaus Evers+, Nov 2005)  [GammOnLine forum]
Does it matter which match equity table you use?  (Achim Mueller+, Dec 2003) 
Does it matter which match equity table you use?  (Chuck Bower+, Sept 2001)  [GammOnLine forum] [Long message]
ME Table: Big Brother  (Peter Fankhauser, July 1996) 
ME Table: Dunstan  (Ian Dunstan+, Aug 2004)  [GammOnLine forum]
ME Table: Escoffery  (David Escoffery, Nov 1991) 
ME Table: Friedman  (Elliott C Winslow, Oct 1991) 
ME Table: Kazaross  (Neil Kazaross, Dec 2003)  [GammOnLine forum]
ME Table: Kazaross-XG2  (neilkaz, Aug 2011) 
ME Table: Rockwell-Kazaross  (Chuck Bower+, June 2010) 
ME Table: Snowie  (Chase, Apr 2002) 
ME Table: Snowie  (Harald Retter, Aug 1998) 
ME Table: Woolsey  (Raccoon, Apr 2006) 
ME Table: Woolsey  (Kit Woolsey, May 1994) 
ME Table: Woolsey  (William R. Tallmadge, Jan 1994) 
ME Table: Zadeh  (Jørn Thyssen, Mar 2004)  [GammOnLine forum]
ME Table: Zorba  (Robert-Jan Veldhuizen+, Dec 2003) 
ME at 1-away/2-away (crawford)  (Fabrice Liardet+, Nov 2007)  [GammOnLine forum]
ME at 1-away/2-away (crawford)  (Ian Shaw+, Apr 2003)  [GammOnLine forum]
Match equities--an alternate view  (Durf Freund, Oct 1994) 
Neil's new numbers  (neilkaz, Aug 2011) 
Neil's numbers  (Kit Woolsey+, Oct 1994) 
On calculating match equity tables  (Neil Kazaross, July 2004)  [GammOnLine forum]
Turner formula  (Gregg Cattanach, Feb 2003) 
Turner formula  (Stephen Turner, June 1994) 
Using a match equity table  (Michael J. Zehr, June 1992) 
Value of free drop  (Neil Kazaross, Oct 2002)  [GammOnLine forum]
Which match equity table is best?  (Martin Krainer+, Oct 2003) 
Which match equity table is best?  (Ian Shaw+, Dec 2001) 
Why use a match equity table?  (Kit Woolsey, Feb 1999) 
Worth memorizing?  (Alef Rosenbaum+, Feb 2003) 

[GammOnLine forum]  From GammOnLine       [Long message]  Long message       [Recommended reading]  Recommended reading       [Recent addition]  Recent addition
 

  Book Suggestions
Books
Cheating
Chouettes
Computer Dice
Cube Handling
Cube Handling in Races
Equipment
Etiquette
Extreme Gammon
Fun and frustration
GNU Backgammon
History
Jellyfish
Learning
Luck versus Skill
Magazines & E-zines
Match Archives
Match Equities
Match Play
Match Play at 2-away/2-away
Miscellaneous
Opening Rolls
Pip Counting
Play Sites
Probability and Statistics
Programming
Propositions
Puzzles
Ratings
Rollouts
Rules
Rulings
Snowie
Software
Source Code
Strategy--Backgames
Strategy--Bearing Off
Strategy--Checker play
Terminology
Theory
Tournaments
Uncategorized
Variations

 

Return to:  Backgammon Galore : Forum Archive Main Page