Positional Voting and Doubly Stochastic Matrices

Jacqueline Anderson, Brian Camara and John Pike

Papers from arXiv.org

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.

Date: 2019-08, Revised 2020-08
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