EXPERIMENT 15:

GnuBG 2-ply checker and 3-ply cube vs GnuBG 2-ply checker and 2-ply cube.

After noticing that the results in Experiments 14-a, 14-b, 14-c and 14-d were
all within less than 2% of each other, even though some of the formulae for
the mutant cube strategies were different enough and that the games were
played against GnuBG 2-ply, 3-ply and 4-ply, I wondered if (and how much)
there were cube skill differences between those different ply settings.

So I made GnuBG 2-ply cube skill play 20,000 money games against GnuBG
3-ply cube skill, with the checker skill set to 2-ply for both sides. In the end,
3-ply won 23,426 points (50.26%) vs 2-ply's 23,179 points (49.74%), with a
total of 46,605 points for both and an average of 2.3303 points per game.

Only 0.52% difference between 2-ply and 3-ply after 20,000 games? Really?

I am sure you guys can all interpret these things better than I can but to me
it looks like GnuBG is cheating against itself... ;)

This will probably be my last experiment for now. With my new computer 5
times faster than my old one, I may simply run more trials for some previous
experiments in order to more accurate results, until I may come up with new
ideas to experiment with.

BTW, you can run this experiment yourselves without a Python script. Just run
gnubg-cli.exe, set the seed for each batch of games (i.e. 1000, 2000, 3000, etc.)
start a new session with the number of games to run (i.e. 1000). You can then
manually save the session and results. Let us know what you all come up with.