Positional Voting and Doubly Stochastic Matrices
arXiv:1908.06506
Abstract
We provide elementary proofs of several results concerning the possible outcomes arising from a fixed profile within the class of positional voting systems. Our arguments enable a simple and explicit construction of paradoxical profiles, and we also demonstrate how to choose weights that realize desirable results from a given profile. The analysis ultimately boils down to thinking about positional voting systems in terms of doubly stochastic matrices.
13 pages. The title has been changed and various revisions have been made based on referee comments