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Deadweight value of thickness
Difficulty: Advanced Keywords: Shape, Strategy
Tamsin This is one of my ideas, for what it's worth. The Deadweight Value of Thickness is what you can expect to earn from some thickness simply by virtue of its being there, without you directly attempting to use it. This would be the minimum return to be expected from that thickness, while the Potential Value of Thickness would be the maximum. If one could find some way to estimate these values then it could be very handy in assessing an exchange. For example, if the deadweight value of the thickness gained from ceding the opponent some territory exceeds the value of that territory, then you can be certain that the trade is favourable. NOTE I did see on one of Steve Fawthrop's (or was it Dieter's?)KGS/Wings talks an idea for counting thickness in which one claimed all vacant points within 3 points of the thickness, using Manhattan distances. Perhaps this could give one some idea of the thickness's deadweight value?
Charles It seems reasonable to count these circled points as 'already territory' for Black here, since this fourth line wall is supposed to be just as good as White's third line territory. This is a place to start, certainly. Andre Engels: I disagree. Given that the black position and the white position are assumed equal, and that the black stones clearly have more influence outside the circled area than the white stones have outside the squared area, one has to conclude that black must have less in the circled area than white has in the squared area, and thus certainly not all of it.
But then
HolIgor: A suggestion. If we are talking about the minimum minimorum then applying chinese scoring seems more reasonable. We have to assume first that the wall on the diagram above lives and the white group on the third line lives as well. Then when filling the territory with stones the space above the wall can be filled only with white stones and that is solid territory (12 points). The centre-facing area by the black wall can be filled either with white or with black stones. If White fills it then Black would get moves elsewhere therefore we can safely assume that they would fill it with alternate moves.
So, one can assume that Black has at least a half of the points shown in this diagram as the dame space around the wall. It is 18/2 = 9 points. The other 9 points can be either white's or blacks. So, perhaps one has add a half of this value. One gets 13.5 points then. The shape of the dame zone is a little bit arbitrary here. Perhaps, one can redefine it better. This is only the idea. Charles Well, I'm sceptical about the picture.
This is the picture I'd visualise. The claim of 'control' for Black (which ought to be as good as Chinese-rules analysis) is that Charles Actually there might be a general point buried here. The term deadweight expresses quite well the exclusion of the entire gerund sector. And positional judgement does imply an instantaneous picture of the state of the board. The whole 'electrostatic' approach to influence is suspect, in my view; but it is taking on a difficult task, roughly to explain 'the remainder after you subtract haengma'. This is a copy of the living page "Deadweight value of thickness" at Sensei's Library. ![]() |