Compensation for Last Stone
Chinese Rule (Actually all Area)
- 1 handicap = komi = 7 moku
- 2 handicap = 2 stone - 1 = 14 moku
- 3 handicap = 3 stone - 2 = 21 moku
- 1 stone = 8 moku, except first stone = 7 moku
Japanese Rule (Actually all Territory)
- 1 handicap = komi = 6 moku
- 2 handicap = 2 stone = 12 moku
- 3 handicap = 3 stone = 18 moku
- 1 stone = 6 moku
Playing Last Stone
- If Black Plays Last Stone, then Black gains 1 moku
- If White Plays Last Stone, then White gains 2 moku
- Japanese/AGA Komi = 6.5 if black plays last and Komi = 7.5 (one point from forcing black to pass one more time) if white plays last
- Chinese Komi = 7.5 if black plays last and Komi = 8.5 (one point from forcing black to pass one more time) if white plays last
- Forcing a pass is worth 1 point, and so white gains 2 point for last move (playing the last stone) instead of 1.
- Does not really affect territory scoring as much as it is not as noticable.
- This is more noticeable in AGA rules, which says that it gives the same result as Japanese rule.
- AGA uses either Area or Territory Scoring, but compensates to give the same result.
Therefore, Komi cannot be a constant because the value of last move is not constant, or we need a separate value for Last Stone Compensation. So Komi is the First Stone compensation, but what will be the Last Stone Compensation?
Are you sure compensation is necessary? Getting tedomari in the endgame is determined by skill, is it not? Though I'm sure either white or black can force it (not that I have solved go?), but that means fair komi covers it.
PlatinumDragon: Under natural causes, the player that plays tedomari is usually the black player due to the nature of odd points on the board. For white to play the tedomari, there must either be a forced play or plays that occur after the contest for territory ends. In other words, there are several moves that occur early in the endgame that can determine the tedomari long before it occurs. Thus, it is the deterministic nature of games, or the element of Chaos Theory that affects the outcome.