LocalTally/old version

Sub-page of LocalTally

Local tallies count the difference (between two resulting board positions) of the difference in the number of stones invested by each side (black and white).


[Diagram]

board position P

For example, given an endgame problem position (P), we consider two positions (P1 and P2) which result when either black plays first (P1) or white plays first (P2).

[Diagram]

position P1: black plays first

The single-board tally is simply the count of how many extra stones were played by a given player (positive for black, negative for white) for each board position. In other words, if, in the continuation P1, black plays two stones and white plays one (read: gote for black), then the single-board tally is +1 (positive one).

[Diagram]

position P2: white plays first

We make a similar calculation for P2 (gote for white as well, so -1) and then subtract P1-P2 to get the local tally, in this case 1 - - 1 = 1 + 1 = 2.

This makes possible the conversion of deiri (swing) endgame values to miai (true value) endgame values by simply dividing the swing value (value of P1 - value of P2) by the number of stones invested (single-board tally for P1 - single-board tally for P2 = local tally for P ). In this way miai values give you a "return on investment" for a single stone.


This is a copy of the living page "LocalTally/old version" at Sensei's Library.
(OC) 2005 the Authors, published under the OpenContent License V1.0.
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