Positional Voting and Doubly Stochastic Matrices

DOI10.1080/00029890.2020.1865065zbMath1466.91103arXiv1908.06506OpenAlexW3138510230MaRDI QIDQ5858908

Brian Camara, Jacqueline Anderson, John Pike

Publication date: 15 April 2021

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.06506

zbMATH Keywords

doubly stochastic matricesbraid arrangementpositional voting systemssocietal ranking

Mathematics Subject Classification ID

Voting theory (91B12) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Stochastic matrices (15B51)

Uses Software

• SageMath

Cites Work

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• Notes on Birkhoff-von Neumann decomposition of doubly stochastic matrices
• Millions of election outcomes from a single profile
• Chambers of arrangements of hyperplanes and Arrow's impossibility theorem
• Representation theory of the symmetric group in voting theory and game theory
• Voting, the Symmetric Group, and Representation Theory
• Notes on the Birkhoff Algorithm for Doubly Stochastic Matrices
• The Mathematics of Voting and Elections: A Hands-On Approach
• Topics in Hyperplane Arrangements
• Basic Geometry of Voting

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