Date of Submission

Spring 2018

Academic Programs and Concentrations

Mathematics

Project Advisor 1

Ethan Bloch

Abstract/Artist's Statement

Voting district boundaries are often manipulated, or gerrymandered, by politicians in order to give one group of voters an unfair advantage over another during elections. To make sure a system of voting districts is not gerrymandered, the population size, the shape, and the voting efficiency of each party in each district should be taken into consideration. Following recent work of Boris Alexeev and Dustin G. Mixon, we discuss mathematical criteria for each of these three aspects, and we prove how problems arise when attempting to apply all three at once to a districting system--first to a simplified districting system and then to a more realistic districting system.

Open Access Agreement

Open Access

Creative Commons License

Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 4.0 License.

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