Currently dice are distributed randomly over your territories. The effect of this is that on average fuller territories get as many dice as empty territories. This makes the probability of fuller territories becoming full higher than less full territories.

The strategy that comes out of this effect is to wait with a full territory until its maxed and then move one by one most likely always getting filled up each turn.

The reason this is bad is because if someone gets a large stack at the begining they have quite a bit more power than players with even stacks. This is a lot of power due to the random algorithm.

THE SUGGESTED CHANGE:
Instead of distributing dice one by one to a random territory number the algorithm should randomly distribute to an available dice spot. So if a territory only has one dice it has 7 available spots. If a territory has 7 dice it has one available spot. The less full territory is 7 times more likely to get a dice. When it gets one it is 6 times more likely...etc.

The effect of this is that on average dice will even out across your territories. Its important to note that the distribution is still random.

This change I believe would make a fairer game and I'm posting here to get some feedback first.