The 2016 election season has been under way for a while, and voters will head to the polls very soon. We look at some of the interesting mathematics behind elections in this special voting-themed issue of Math Horizons:
-A geometric explanation of the aggregation paradox with examples from the 2016 primaries.
-A game theory explanation of why we can't agree on a better way to vote than the plurality method.
-Redistricting in Minnesota.
-The census and congressional apportionment.
-How averaging all positional voting methods leads to an existing, well-known voting method.
-An editorial encouraging mathematicians and other mathematically inclined citizens to become involved in public policy.
Enjoy these articles and more in the September issue ofMath Horizons. And don't forget to vote! -David Richeson, Editor
Volume 24, Issue 1
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The Geometry of Adding up Votes (PDF)
Michael A. Jones and Jennifer Wilson
The 2016 Democratic primaries in Arkansas and Alabama exhibited apportionment paradoxes that can be described geometrically.
Download free PDF here.
The Mean(est) Voting System
Sam Gutekunst, David Lingenbrink, and Michael Orrison
What happens if we average all the positional voting systems?
To purchase the article from JSTOR: http://dx.doi.org/10.4169/mathhorizons.24.1.10
Electing to Disagree
Jim Wiseman and Thomas Wiseman
Game theory tells us why experts can’t agree on the best way to vote.
To purchase the article from JSTOR: http://dx.doi.org/10.4169/mathhorizons.24.1.14
DO THE MATH!
Sugihara's Impossible Cylinder
David Richeson shows the mathematics behind one of the Internet's favorite illusion.
To purchase the article from JSTOR: http://dx.doi.org/10.4169/mathhorizons.24.1.18
Confidence in the Census
Jeff Suzuki presents the challenges of using census data to determine congressional apportionment.
To purchase the article from JSTOR: http://dx.doi.org/10.4169/mathhorizons.24.1.20
Undergraduate Research: Viewpoints from the Student Side
Alejandro Camacho, Jeffrey Laylon Davis, Sarah Klett, Herbert Medina, Angel R. Pineda, and Samantha VanSchalkwyk
Four students give their recommendations for student-faculty research.
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Tommy Ratliff chats with Karen Saxe about her work on the Minnesota Citizens Redistricting Commission.
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L.A. Math by James D. Stein
Reviewed by Melissa Hoover
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Fluke by Joseph Mazur
Reviewed by Carrie Diaz Eaton
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The Math Horizons problem section, edited by Gary Gordon
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Mathematician Goes to Washington
Katherine Crowley describes her work as a congressional fellow for Senator Al Franken.
To purchase the article from JSTOR: http://dx.doi.org/10.4169/mathhorizons.24.1.34
To read the article on the MAA blog: http://horizonsaftermath.blogspot.com/