In AGA rules White must make the last play. This insures that both players have used the same number of stones.
The Last Move: White must make the last move--if necessary, an additional pass, with a stone passed to the opponent as usual. The total number of stones played and passed by the two players during the entire game must be equal.
- Pass Stone
- Tedomari - Getting the last big move
 We don't normally talk about passing stones, but rather about passing moves. Therefore the statement might be better formulated along the lines of the sum of the number of stones played and the number of moves passed by White must be equal to the sum of the number of stones played and the number of moves passed by Black.