Match Equities

Forum Archive : Match Equities

 
ME Table: Zadeh

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.
 
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Match Equities

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