Endgame Problem 25 / Solution

Sub-page of EndgameProblem25
White wins by one  

Bill: A fine point: B2 is better technique than playing the sente at B8 first, because it gives White the chance to make a mistake [with W5 at B8, letting Black jigo with the hane at the top].

Only jigo  


Robert Pauli: (pointing at the diagram on the main page)
Locally best play isn't globally best play, as everyone will find out sooner or later.

I like these miai values (even if I'm still struggling with them), however, would they help White in any way ??

Bill: Gee, maybe I am missing something, but the best local play seems like the best global play to me. (OIC. It depends on what you mean by best play. I think you mean optimal play. I had orthodox play in mind. The normally best local play differs from the best global play at or below temperature 1. They are the same above that.)

Robert Pauli:
Hmm, I'm ahead of the solution in DGoZ 6/03, but . . .
(showing him both diagrams above and pointing at the second)
Locally best for the lower part, but missing the win.

Are you using some kind of mathematical never-ever-draw rules, Bill, or what am now I missing? ;-)
So, how do miai values direct White to choose the "inferior" move?

Bill: Here is what I mean:

Normal local play  

After W1, White has W3 - B6 with sente, and Black has B8 - W9 with sente. This is 2 points better than the result above, starting with W8. With rare exceptions, W should play W1 unless the remaining plays are very small.

(W3 - W5 is sente because of possible later threats against Black's group. But even if it is a 2 2/3 point gote instead of a 3 point sente, W1 is still the normal local play.)

W1 was my first thought, and then I wondered why this was a problem. ;-)

Endgame Problem 25 / Solution last edited by RobertPauli on December 25, 2018 - 11:29
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