Source Code

 Match equity calculator

 From: Claes Thornberg Address: claest@snapper.electrum.kth.se Date: 23 September 1996 Subject: Match Equity Calculator Forum: rec.games.backgammon Google: CLAEST.96Sep23152128@snapper.electrum.kth.se

```Hi all,

Having spotted, what I believe to be some errors in Tomas Szabo's
match equity tables for different ratings I decided to figure out how
to calculate match equities (well described by Tom Keith at URL
http://www.bkgm.com/articles/met.html).  I have now written a program
which can calculate match equity tables.  This program takes as input
(arguments) match length, gammon rate and winning probability in one
game for the better player.  As output it prints a match equity table
for the favorite with respect to those parameters.

The program is available at

http://www.bkgm.com/articles/Thornberg/mec.c

and should compile using any ANSI-C compiler.

Enjoy,
Claes Thornberg (claest @ FIBS)

PS.  If you decide to try/use it, I would appreciate any feedback you
might want to give.

Example:

For instance, suppose I want an equity table for a 9pt match with
gammon rate 20% where the favorite wins 55% of the games, then I start
my program:

mec 9 .2 .55

The output is:

Gammon rate 0.2000
Winning %   0.5500

1     2     3     4     5     6     7     8     9
1 0.550 0.748 0.797 0.869 0.887 0.930 0.941 0.963 0.969
2 0.352 0.550 0.653 0.728 0.796 0.849 0.884 0.913 0.934
3 0.303 0.461 0.563 0.640 0.715 0.777 0.821 0.860 0.889
4 0.215 0.378 0.484 0.563 0.643 0.709 0.762 0.806 0.843
5 0.194 0.310 0.412 0.492 0.573 0.642 0.700 0.750 0.793
6 0.133 0.245 0.343 0.423 0.506 0.577 0.639 0.693 0.742
7 0.118 0.203 0.294 0.368 0.449 0.518 0.582 0.638 0.691
8 0.082 0.162 0.245 0.317 0.394 0.463 0.528 0.585 0.640
9 0.073 0.134 0.208 0.273 0.346 0.412 0.477 0.535 0.591
--
______________________________________________________________________
Claes Thornberg                 Internet: claest@it.kth.se
Dept. of Teleinformatics        URL:      http://www.it.kth.se/~claest
KTH/Electrum 204                Voice:    +46 8 752 1377
164 40 Kista                    Fax:      +46 8 751 1793
Sweden
```

### Source Code

Benchmark player "pubeval.c"  (Gerry Tesauro, Feb 1993)
GamesGrid .CBG viewer in flex  (Gary Wong, Sept 1997)
Match equity calculator  (Claes Thornberg, Sept 1996)
Move generator  (Gary Wong, Oct 1998)
Rfibs and sfibs recorder and replayer  (Jan Spitzkowsky, Aug 1994)
race2.c  (Marc Ringuette, Dec 1993)
race4.c  (Marc Ringuette, Dec 1993)