Match Equities

Forum Archive : Match Equities

 
ME Table: Escoffery

From:   David Escoffery
Address:   davide@sco.COM
Date:   1 November 1991
Subject:   equity charts
Forum:   rec.games.backgammon
Google:   20952@scorn.sco.COM

Here are my personal equity charts which I have developed over the years.
I tend to lean more towards a cubeless gammon frequency (CGF) of 25 percent
in my play, but I recognize that the more accepted level today is around
the 35 percent level.  Elliott, feel free to contact me about how the
Crawford Rule has been taken into account, or what assumptions I have made
about the value of owning the cube, and at which point a mandatory double
is required by the trailing party. And if you do decide to repost or
publish the charts, I only ask that you properly identify them as mine.
Enjoy.


                   EQUITY CHART FOR 11 POINT MATCH WITH CGF = 35.00%

        10c     10      9      8      7      6      5      4      3      2      1      0

10c   50.00% 50.00% 66.25% 75.00% 80.28% 83.13% 87.69% 90.14% 92.55% 93.84% 95.42% 96.27%
10    50.00% 50.00% 50.00% 66.25% 66.25% 80.28% 80.28% 87.69% 87.69% 92.55% 92.55% 95.42%
 9    33.75% 50.00% 50.00% 64.03% 73.15% 79.50% 84.64% 88.21% 91.06% 93.03% 94.68% 95.84%
 8    25.00% 33.75% 39.03% 50.00% 60.90% 68.93% 75.91% 81.18% 85.46% 88.64% 91.23% 93.16%
 7    19.72% 33.75% 33.75% 44.72% 50.00% 60.39% 67.86% 74.44% 79.78% 84.04% 87.49% 90.19%
 6    16.88% 19.72% 24.28% 34.86% 42.49% 50.00% 59.02% 66.33% 72.77% 78.08% 82.51% 86.10%
 5    12.31% 19.72% 19.72% 29.74% 35.67% 43.62% 50.00% 58.47% 65.36% 71.56% 76.82% 81.26%
 4     9.86% 12.31% 14.72% 23.28% 29.17% 36.48% 43.54% 50.00% 57.85% 64.47% 70.48% 75.66%
 3     7.45% 12.31% 12.31% 19.91% 24.35% 30.89% 37.20% 43.98% 50.00% 57.42% 63.76% 69.58%
 2     6.16%  7.45%  9.03% 15.67% 19.69% 25.57% 31.46% 37.74% 44.15% 50.00% 57.03% 63.14%
 1     4.58%  7.45%  7.45% 13.16% 16.24% 21.30% 26.50% 32.30% 38.23% 44.38% 50.00% 56.71%
 0     3.73%  4.58%  5.51% 10.38% 13.06% 17.46% 22.08% 27.33% 32.90% 38.65% 44.55% 50.00%

                                                         (c)  D. Escoffery 1991

                   EQUITY CHART FOR 11 POINT MATCH WITH CGF = 25.00%

        10c     10      9      8      7      6      5      4      3      2      1      0

10c   50.00% 50.00% 68.75% 75.00% 82.03% 84.38% 89.36% 91.02% 93.76% 94.68% 96.33% 96.88%
10    50.00% 50.00% 50.00% 68.75% 68.75% 82.03% 82.03% 89.36% 89.36% 93.76% 93.76% 96.33%
 9    31.25% 50.00% 50.00% 63.28% 73.24% 79.52% 84.98% 88.44% 91.45% 93.35% 95.06% 96.15%
 8    25.00% 31.25% 38.28% 50.00% 61.25% 69.59% 76.79% 82.04% 86.38% 89.49% 92.04% 93.87%
 7    17.97% 31.25% 31.25% 42.97% 50.00% 60.16% 68.23% 74.92% 80.45% 84.76% 88.24% 90.90%
 6    15.63% 17.97% 22.95% 33.98% 42.02% 50.00% 59.19% 66.80% 73.41% 78.85% 83.34% 86.93%
 5    10.64% 17.97% 17.97% 28.02% 34.76% 42.81% 50.00% 58.51% 65.78% 72.14% 77.56% 82.06%
 4     8.98% 10.64% 13.39% 22.36% 28.35% 35.73% 43.09% 50.00% 57.98% 64.90% 71.09% 76.41%
 3     6.24% 10.64% 10.64% 18.22% 23.14% 29.70% 36.44% 43.44% 50.00% 57.54% 64.18% 70.17%
 2     5.32%  6.24%  7.89% 14.63% 18.69% 24.44% 30.55% 37.05% 43.71% 50.00% 57.17% 63.55%
 1     3.67%  6.24%  6.24% 11.71% 15.07% 19.99% 25.39% 31.35% 37.57% 43.95% 50.00% 56.85%
 0     3.12%  3.67%  4.63%  9.45% 12.11% 16.28% 20.96% 26.28% 32.03% 38.03% 44.16% 50.00%

                                                         (c)  D. Escoffery 1991

                   EQUITY CHART FOR 11 POINT MATCH WITH CGF = 20.00%

        10c     10      9      8      7      6      5      4      3      2      1      0

10c   50.00% 50.00% 70.00% 75.00% 83.00% 85.00% 90.20% 91.50% 94.38% 95.10% 96.77% 97.19%
10    50.00% 50.00% 50.00% 70.00% 70.00% 83.00% 83.00% 90.20% 90.20% 94.38% 94.38% 96.77%
 9    30.00% 50.00% 50.00% 63.00% 73.40% 79.66% 85.28% 88.68% 91.75% 93.61% 95.33% 96.37%
 8    25.00% 30.00% 38.00% 50.00% 61.46% 69.95% 77.26% 82.52% 86.87% 89.95% 92.48% 94.25%
 7    17.00% 30.00% 30.00% 42.00% 50.00% 60.15% 68.49% 75.29% 80.89% 85.23% 88.70% 91.34%
 6    15.00% 17.00% 22.20% 33.50% 41.77% 50.00% 59.30% 67.09% 73.81% 79.32% 83.84% 87.43%
 5     9.80% 17.00% 17.00% 27.02% 34.21% 42.40% 50.00% 58.60% 66.05% 72.53% 78.02% 82.57%
 4     8.50%  9.80% 12.68% 21.80% 27.85% 35.28% 42.83% 50.00% 58.08% 65.18% 71.47% 76.88%
 3     5.62%  9.80%  9.80% 17.26% 22.44% 29.06% 36.00% 43.16% 50.00% 57.64% 64.45% 70.55%
 2     4.90%  5.62%  7.29% 14.03% 18.10% 23.79% 30.01% 36.65% 43.47% 50.00% 57.27% 63.82%
 1     3.23%  5.62%  5.62% 10.90% 14.41% 19.28% 24.75% 30.81% 37.19% 43.72% 50.00% 56.95%
 0     2.81%  3.23%  4.18%  8.92% 11.56% 15.60% 20.30% 25.67% 31.52% 37.66% 43.94% 50.00%

                                                         (c)  D. Escoffery 1991

===========================================================================
David Escoffery                          Tel:        (408) 458-4227 x4621
The Santa Cruz Operation                 Internet:   davide@sco.COM
P.O. Box 1900
Santa Cruz, CA 95061
===========================================================================
 
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Match Equities

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