The Honor tokens running out signals that the game is going to end, but you can still earn more Honor from the reserve. The game ends at the end of the series of turns when the final Honor token is taken from the pool. That means that the player who took the last turn in the first series of turns always gets the last turn of the game. For example, if Player 1 went first, Player 2 went second, and Player 3 went third, and Player 2 takes the last honor token from the pool on his turn, Player 3 will get another turn, but Player 1 will not.
Posted in: Ascension: Chronicle of the Godslayer