Before revision:  We show that a modification of May's symmetry assumption allows for a far richer set of rules that still treat voters equally , but have minimal winning coalitions comprising a vanishing fraction of the population . We conclude that procedural fairness can coexist with the empowerment of a small minority of individuals .
After revision:  We show that a modification of May's symmetry assumption allows for a far richer set of rules that still treat voters equally , but have minimal winning coalitions comprising a vanishing fraction of the population , but not less than the square root of the population size .