The short answer

We solved 2 endgames and compared the best move with the second-best. The difference ran from 4 to 28 discs: how much a single choice is worth changes completely from one position to the next.

What we are testing

By the endgame there are only a handful of moves left. How much does it matter that you pick the best one? Here we measure the distance between the best move and the second best, in an endgame with 8 empty squares where every legal move can be solved to the end. A small gap would mean the choice barely matters; a large one means that single move decides the game.

87654321
abcdefgh
Black to move. The tempting h4 flips 6 discs (8 empty squares).

How we tested it

Every number here is output from our own solver (negamax with alpha-beta). We take an endgame position with few empty squares, play each legal move in turn, and solve what follows to the very end of the game. There is no evaluation function and no approximation, so the margins are exact rather than estimated. One position cannot show how typical something is, so a second was solved here, and the position from the two-corners study gives a third for comparison.

Solver
Our own solver (negamax with alpha-beta)
Depth
Solved to the end of the game. No approximation, no evaluation function.
Positions
2
Moves solved
12
What the numbers mean
The final disc margin with best play from both sides, from Black’s point of view.

Position by position

Black has 6 legal moves. Solving all of them to the end of the game gives this (margin is Black's final disc differential, best play by both sides):

MoveFlipsFinal marginNote
a11+14Best
h46−14Second best
h81−18Corner
g11−22C-square
d87−24
g79−28X-square

Where the difference comes from

The best move, a1, finishes +14 — a win. The second best, h4, finishes −14 — a loss. One place apart in the ranking, and the result of the game changes hands. The gap is 28 discs — more than four tenths of the 64 discs that fill the board at the end.

The flip counts point the other way, as usual. a1 turns a single disc, while h4 turns 6 and the worst move, g7, turns 9. It is the same thing the maximum-flip study found, showing up again here.

Exceptions

In this position the second-best move loses on the spot. That is not the rule. In another endgame with the same 8 empty squares, best and second best were 4 discs apart (the table below): either move still wins, and only the size of the win changes.

In the position used for the two-corners study, the same gap was 8 discs. 4, 8, 28: that is how differently one endgame move can weigh. Whether a position is worth reading out carefully is the first thing to judge.

Playing the best move

Watch the best move, a1, being played: the disc goes down first, then the captured discs turn over one at a time. The gold frame marks the square played; the gold rings mark the discs that flipped.

87654321
abcdefgh
Black to move. The best move, a1, flips a single disc, b1 (finishes +14).

As stated in our editorial policy, the numbers are the real computed results, printed as-is.

What one move is worth changes

The gap is not always that large. Here is another endgame with the same number of empty squares, solved the same way.

PositionBest moveMove testedGap (discs)
Case 1a1 +14h4 −1428
Case 2c1 +8a2 +44

Across the 2 positions the gap ran from 4 to 28 discs — that is how differently the same mistake can be punished, depending on where it happens.

Case 2 — 8 empty squares

Best was c1 (+8). the second-best move — a2 — gives +4, a gap of 4 discs.

87654321
abcdefgh
MoveFlipsFinal marginDiff vs best
c11+8best
a21+4-4
g21±0-8
h23±0-8
f11±0-8
b11−2-10

What this does and does not show

  • It shows: for these 2 positions, an exact solve of every legal move to the end of the game. Not an approximation.
  • It does not show: anything about every position — 2 is a very small sample. For a wider count see the 400-position study.
  • The assumption: the margins assume best play from both sides to the end.
  • Reproducing it: the positions and results are in assets/othello-analysis.json, regenerated by tools/generate-othello-analysis.mjs.

What to remember at the board

  • The gap between best and second-best ran from 4 to 28 discs
  • Sometimes the choice barely matters; sometimes it turns a win into a loss
  • Do not treat endgame moves as interchangeable — with few empty squares you can read it out
  • Where the gap is small, spend the reading time somewhere else

Try it yourself

You can set these positions up and play them out. The evaluation bar moves after every move, so the difference between a good move and a poor one shows up as you play.

Check the same position yourself

Set up the endgame and see how one choice changes the result. Free, no account.

⚫ Enter the Dojo

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