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
Martin
Temperature is really meant for endgame analysis.
When the board situation is too fluid to be broken down into local
situations, even assigning move values becomes speculative.
What is important though for the whole game, is the concept of the last big
move. (http://senseis.xmp.net/?Tedomari)
The temperature may not drop monotonously, but there will be temperature
drops.
If one side got in one more move at the higher temperature than the other,
it profited by the margin of the drop.
One of the many differences between the pros and amateurs is that pros are
keenly aware of this concept.
(We amateurs have our hands full looking for the next big point.)
The decision between war and peace is often influenced by a looming
tedomari.
If the other side threatens to take such a point if the game proceeds
"normally", all hell will usually brake loose instead.
(The commentary usually says "fighting for sente". But the reason they are
fighting for sente is the tedomari.)
Stefan
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