I think a better way to do this is to self-play a few hundred games with various komi values. The correct komi will be clear from those games. This worked on 7x7 so I assume it would work on 6x6. Of course this cannot be considered a "proof."
- Don On Wed, 2008-09-24 at 09:53 +0200, "Ingo Althöfer" wrote: > Erik van der Werf wrote: > > ... > > Optimal play on 6x6 under Chinese rules is expected > > to give a Black win by 4 points. > > I want to lay open, why my expectation for > 6x6-Go under Chinese rules is +2 for Black. > > With Leela, I played two games (or game fragments) > in analysis mode, starting the machine from fresh > in each situation, and stopping analysis after > 500,000 nodes. > > Game 1: > Whenever it was Black's turn, komi was set to 3.5 . > Whenever it was White's turn, komi was set to 4.5 . > The numbers in brackets are the win percentages, as > shown by Leela after 500,000 nodes. > 1.c3 (39.9) 2.d4 (73.7) > 3.c4 (46.0) 4.d3 (77.0) > 5.d5 (55.3) 6.e5 (85.6) > 7.d2 (42.0) 8.e2 (91.8) > 9.e4 (24.5) 10.e3 (96.1) > 11.e6(17.6) > Resigned on behalf of Black. > > Game 2: > Whenever it was Black's turn, komi was set to 1.5 . > Whenever it was White's turn, komi was set to 2.5 . > The numbers in brackets are the win percentages, as > shown by Leela after 500,000 nodes. > 1.c3 (71.5) 2.d4 (55.5) > 3.d3 (75.4) 4.c4 (60.2) > 5.b3 (64.1) 6.e3 (74.5) > 7.e2 (59.2) 8.e4 (68.2) > 9.b5 (58.9) 10.b4 (73.3) > 11.a4 (53.3) 12.a5 (73.6) > 13.a3 (65.2) 14.c5 (72.6) > 15.a6 (77.1) 16.f2 (81.6) > 17.e1 (81.7) 18.c6 (76.6) > 19.a5 (81.4) 20.e5 (94.3) > 21.c1 (98.6) > So, both sides are optimistic to reach their respecitve goals. > > Conclusion: From the viewpoint of Leela (at 500,000 nodes), > komi=2.0 is in the "habitable zone" for the > the starting position of 6x6-Go, whereas komi=4.0 is not. > > When instead fair komi would be 4, each of the games above > should contain errors. > > Ingo.
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