Match Equities

Forum Archive : Match Equities

 
ME Table: Zorba

From:   Robert-Jan Veldhuizen
Address:   zorba@chello.nl
Date:   20 December 2003
Subject:   GNUBG match equity table
Forum:   rec.games.backgammon
Google:   8e504b59.0312201014.296dd7b4@posting.google.com

GNUBG 7pt Match Equity Table

Method: Full rollouts of initial position, 6480 trials x 2 (or less
when SE are low enough).  Settings: 0-ply checker play, 2-ply 25%
(100% for Post-Crawford) cube.

Note: 95% confidence intervals mostly around or below 0.100% MWC, the
extra digits in the MET are for calculation purposes and to preserve
as much accuracy as possible when extending the table.

The scores are to be read as "n points-to-go", more commonly known as
"n-away"

  (Pre-)Crawford % MWC

     1-away  2-away  3-away  4-away  5-away  6-away  7-away
     ------  ------  ------  ------  ------  ------  ------
  1  50.000  68.145  75.077  81.768  84.451  89.025  90.898
  2  31.855  50.000  59.964  67.184  74.524  80.195  84.430
  3  24.923  40.036  50.000  57.373  65.026  71.424  76.514
  4  18.232  32.816  42.627  50.000  57.745  64.533  70.186
  5  15.549  25.476  34.974  42.255  50.000  56.828  62.867
  6  10.975  19.805  28.576  35.447  43.172  50.000  56.315
  7   9.102  15.570  23.486  29.814  37.133  43.685  50.000

  Post-Crawford % MWC Trailer

     1-away  2-away  3-away  4-away  5-away  6-away
     ------  ------  ------  ------  ------  ------
  1  50.000  48.811  31.770  30.588  18.538  17.763

This MET is somewhat close to (especially) the Jacobs MET, but there's
also some notable differences. You can use "Menu: Analyse -> Match
Equity Table" to see the MET your gnubg is using, and click "Load
table..." to select different ones (*.xml files).

Zorba

Robert-Jan Veldhuizen  writes:

[April 2004]

Method: Full rollouts, 0-ply checker play, 2-ply 25% cube, 2160 trials or
more twice per score, SE's <0.06% MWC with a couple of exceptions.

          11 point MET generated using GNUBG full rollouts by Zorba

(Pre-)Crawford

   1-away 2-away 3-away 4-away 5-away 6-away 7-away 8-away 9-away 10away 11away
   ------ ------ ------ ------ ------ ------ ------ ------ ------ ------ ------
 1 .50000 .68145 .75077 .81768 .84451 .89025 .90898 .93560 .94591 .96147 .96784
 2 .31855 .50000 .59964 .67184 .74524 .80195 .84430 .87749 .90373 .92537 .94122
 3 .24923 .40036 .50000 .57373 .65026 .71424 .76514 .80908 .84335 .87438 .89731
 4 .18232 .32816 .42627 .50000 .57745 .64553 .70186 .74855 .79129 .82755 .85733
 5 .15549 .25476 .34974 .42255 .50000 .56828 .62867 .68040 .72739 .76917 .80443
 6 .10975 .19805 .28576 .35447 .43172 .50000 .56315 .61776 .66954 .71561 .75629
 7 .09102 .15570 .23486 .29814 .37133 .43685 .50000 .55605 .60994 .65847 .70268
 8 .06440 .12251 .19092 .25145 .31960 .38224 .44395 .50000 .55493 .60525 .65171
 9 .05409 .09627 .15665 .20871 .27261 .33046 .39006 .44507 .50000 .55048 .59896
10 .03853 .07463 .12562 .17245 .23083 .28439 .34153 .39475 .44952 .50000 .54949
11 .03216 .05878 .10269 .14267 .19557 .24371 .29732 .34829 .40104 .45051 .50000

Post-Crawford

   1-away 2-away 3-away 4-away 5-away 6-away 7-away 8-away 9-away 10away 11away
   ------ ------ ------ ------ ------ ------ ------ ------ ------ ------ ------
   .50000 .48811 .31770 .30588 .18538 .17763 .11064 .10574 .06667 .06277 .03988
 
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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) 

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