Using doubly stochastic matrices, the authors prove that the achievable societal rankings for a fixed profile are exactly the faces meeting the convex hull of cumulative column sums of the profile matrix.
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Positional Voting and Doubly Stochastic Matrices
Using doubly stochastic matrices, the authors prove that the achievable societal rankings for a fixed profile are exactly the faces meeting the convex hull of cumulative column sums of the profile matrix.