Math @ Duke
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Publications [#361283] of Jonathan C. Mattingly
search arxiv.org.Papers Published
- Bangia, S; Graves, CV; Herschlag, G; Kang, HS; Luo, J; Mattingly, JC; Ravier, R, Redistricting: Drawing the Line
(April, 2017)
(last updated on 2025/06/15)
Abstract: We develop methods to evaluate whether a political districting accurately
represents the will of the people. To explore and showcase our ideas, we
concentrate on the congressional districts for the U.S. House of
representatives and use the state of North Carolina and its redistrictings
since the 2010 census. Using a Monte Carlo algorithm, we randomly generate over
24,000 redistrictings that are non-partisan and adhere to criteria from
proposed legislation. Applying historical voting data to these random
redistrictings, we find that the number of democratic and republican
representatives elected varies drastically depending on how districts are
drawn. Some results are more common, and we gain a clear range of expected
election outcomes. Using the statistics of our generated redistrictings, we
critique the particular congressional districtings used in the 2012 and 2016 NC
elections as well as a districting proposed by a bipartisan redistricting
commission. We find that the 2012 and 2016 districtings are highly atypical and
not representative of the will of the people. On the other hand, our results
indicate that a plan produced by a bipartisan panel of retired judges is highly
typical and representative. Since our analyses are based on an ensemble of
reasonable redistrictings of North Carolina, they provide a baseline for a
given election which incorporates the geometry of the state's population
distribution.
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