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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.
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Degutz, Danielle, "Gerrymandering and the Impossibility of Fair Districting Systems" (2018). Senior Projects Spring 2019. 179.
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