On Triplea, and perhaps other sites/servers, some players prefer to play with Low Luck (LL) versus dice.
For those not in the know, LL just adds up all the combat power of the attacking units, divides by 6, and rolls the remainder. Then, does the same for the defender.
E.g. If 2 tanks and an 1inf attack 2inf, the attacker is guaranteed a hit on the first round, with a 1 in 6 chance of two hits. The defender is has one roll at 4 to hit on the first round. Note that the attacker has a 100% chance of winning the fight after two rounds of combat.
Proponents of LL point out that the better player will win more often. My response to that; the better player is winning a different game.
Part of Axis and Allies skill is risk management. To my mind, a very important skill. In LL, the importance of risk management is nerfed considerably.
A second way in which LL radically changes the game, is the ability for units to hit multiple times. For instance: In dice, one could attack three targets with three different pairs of fighters. Let’s assume that the goal of the attacker is to hit twice in the first round in at least one of the battles. In dice, an average of three hits could be divided in several different ways. Two in one, one in the other, and zero in the last, or some other combo. Now, in LL, the fighters would score exactly 1 hit per combat. I ask you, is that still Axis and Allies? It is not somehow hoping to ‘fluke out’ if you send three pairs of fighters and hope to get two hits in an individual battle - in fact, it is hoping for an average result that spans several battles.
A third knock against LL is the predictability of the opening rounds makes the beginning of the game more prone to pregame analysis, and the ability to adjust to unexpected outcomes also nerfed. Again, is this still A&A?
Lastly, the measure of a superior game system is not simply reduced to defining the better player more often. Certain aethetics and the exploration of some kinds logical ideas require chaotic systems, and the cost of that is strange dice blips from time to time.
One last time: LL is a different game. Its not Axis and Allies.