Forum Archive :
Match Equities
I've just rechecked Zadeh's formulae from his 1977 paper with my
implementation in gnubg, and found a minor "bug", namely that I used the
lower gammon-ratio[1] for 1-away pre-Crawford scores.
After fixing this the table looks like this:
1-away 2-away 3-away 4-away 5-away 6-away 7-away
1-away 50.0000 68.7500 75.5625 82.2187 84.7359 89.4758 91.2213
2-away 31.2500 50.0000 60.3017 67.7106 74.7389 80.5867 84.6234
3-away 24.4375 39.6983 50.0000 57.4482 65.0828 71.5718 76.5747
4-away 17.7813 32.2894 42.5518 50.0000 57.7182 64.4691 70.0621
5-away 15.2641 25.2611 34.9172 42.2818 50.0000 56.8277 62.7639
6-away 10.5242 19.4133 28.4282 35.5309 43.1723 50.0000 56.2111
7-away 8.7787 15.3766 23.4253 29.9379 37.2361 43.7889 50.0000
Jørn
[1] Zadeh works with two gammon ratios: G1 for the doubler and G2 for the
doublee. Generally G1>G2. For some reason I used G2 for the 1-away pre-
Crawford scores rather than G1.
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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)
- 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)
- ME Table: Big Brother (Peter Fankhauser, July 1996)
- ME Table: Dunstan (Ian Dunstan+, Aug 2004)
- ME Table: Escoffery (David Escoffery, Nov 1991)
- ME Table: Friedman (Elliott C Winslow, Oct 1991)
- ME Table: Kazaross (Neil Kazaross, Dec 2003)
- 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)
- ME Table: Zorba (Robert-Jan Veldhuizen+, Dec 2003)
- ME at 1-away/2-away (crawford) (Fabrice Liardet+, Nov 2007)
- ME at 1-away/2-away (crawford) (Ian Shaw+, Apr 2003)
- 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)
- 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)
- 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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