At the beginning of each strategic round the order in which the players take their player's rounds is determined. Each non resting player that has still a stack not locked in combat rolls 2D6 (resolving ties). The highest rolling player will be the first to take his player's round. Should he have rolled an even number the other players follow in clockwise order, should he have rolled an odd number, they will follow in counterclockwise order. Resting players do not have player's rounds, so they do not need to roll.
The order in which the players move is sometimes important. So your relative position to a player may grant you an advantage or put you at an disadvantage. Making the start player and the direction in which the players follow random, gets rid of that.