In message <e02c6ee5407d4d01ba9b42e34a9cd...@drecksack>, Stefan Kaitschick <[email protected]> writes
In the simplest model, ambient never increases. But in a case such as this, it would make sense to "restart".

The typical model in Go seems that there is large-scale fighting with very high temperatures in the middle game, then it sooner or later settles into the large endgame with a few moves at temperature of maybe 10, then drops quickly. It would be interesting to do a large-scale study but we cannot do this automatically yet.

Here is what I know about real-life endgame analysis using temperatures:

Berlekamp, Spight and their students have analyzed a number of difficult human endgames by using combinatorial game theory. Their analyses usually uncover a number of mistakes even in top professional play.

In Berlekamp's "environmental Go", the values of moves on the board must constantly be compared to a stack of "coupons", simple gote plays worth a decreasing number of points. There have been several matches where professionals play environmental Go. One such endgame is analyzed in great depth by Spight at
http://www.msri.org/publications/books/Book42/files/spight.pdf

It is possible to calculate the importance of tedomari.

Suppose we play a game ignoring tedomari. As the value of sente drops from (about) 14 to 0, which will each get about seven points' worth of tedomari effect, though we won't be aware of it. Now suppose we play another game, in which you manage the tedomari perfectly, while I ignore it. You will gain all 14 points' worth. Thus you will win the second game by 14 more points than the first. So the value of understanding and applying tedomari perfectly is twice the correct value of komi, or the marginal value of one handicap stone.

Nick
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Nick Wedd    [email protected]
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