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Think of it like the North American congress/senate. In this case, rolling the dice the game provided would be like the senate, where every player/state is given equal chance/voice, despite their contributions/population. This system is unfair in the sense that it ignores anything "good" a player has done for a guild (over time), and also ignores the population of a state.

DKP in this case would be like the congress, where your chance/voice is determined specifically by your contribution/population.

Neither case, in my opinion, is more "fair" than the other case. The rolling system is fairer when you weigh the merits of contribution given to a specific raid, whereas the DKP system is fairer when you weigh the merits of contribution given to a guild over a series of raids.

Unlike game loot systems, the congress and senate both have equal power. Maybe long lasting guilds would eventually adopt a loot structure like that, but it is doubtful.