An Algebraic Approach to Voting Theory
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چکیده
We express this data as a profile (a vector representing the number of votes cast for each ranking), p = (3, 8, 8, 0, 0, 5). • Positional outcome (w = [1, 1/2, 0]): A wins A gets 15 points, B gets 12 points, C gets 9 points. • Pairwise outcome: B beats A 13 : 11, A beats C 19 : 5, C beats B 13 : 11. The pairwise rankings are not transitive, nor do they agree with the positional ranking. These are called paradoxes. Previous Contributions
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تاریخ انتشار 2005