Match Equities

 From: Jørn Thyssen Address: jth@gnubg.org Date: 28 March 2004 Subject: Re: Take that Zadeh table and throw it in the trash Forum: GammOnLine

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.

### 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)