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We investigate the distribution of partisanship in a cross-section of ten diverse States to elucidate how votes translate into seats won and other metrics. Markov chain simulations taking into account partisanship distribution agree…

Physics and Society · Physics 2021-03-03 Constantine , Gonatas

Using the recently introduced declination function, we estimate the net number of seats won in the US House of Representatives due to asymmetries in vote distributions. Such asymmetries can arise from combinations of partisan gerrymandering…

Applications · Statistics 2017-08-09 Jeffrey S. Buzas , Gregory S. Warrington

Congressional district lines in many U.S. states are drawn by partisan actors, raising concerns about gerrymandering. To separate the partisan effects of redistricting from the effects of other factors including geography and redistricting…

Physics and Society · Physics 2024-01-15 Christopher T. Kenny , Cory McCartan , Tyler Simko , Shiro Kuriwaki , Kosuke Imai

Every representative democracy must specify a mechanism under which voters choose their representatives. The most common mechanism in the United States -- Winner takes all single-member districts -- both enables substantial partisan…

Computer Science and Game Theory · Computer Science 2026-02-23 Nikhil Garg , Wes Gurnee , David Rothschild , David Shmoys

Changes in political geography and electoral district boundaries shape representation in the United States Congress. To disentangle the effects of geography and gerrymandering, we generate a large ensemble of alternative redistricting plans…

This preprint offers a detailed look, both qualitative and quantitative, at districting with respect to recent voting patterns in one state: Pennsylvania. We investigate how much the partisan playing field is tilted by political geography.…

Computers and Society · Computer Science 2020-11-05 Jonathan Rodden , Thomas Weighill

We use voting precinct and election data to analyze the political geography of New Hampshire and Maine. We find that the location of dividing line between Congressional districts in both states are significantly different than what we would…

Over the years, American politics have become increasingly polarized. In the current political landscape, a president cannot easily collaborate with the opposite party and pass legislature. Ideologies between parties have drifted apart to…

Social and Information Networks · Computer Science 2015-03-27 Pandya George

In eight states, a "nesting rule" requires that each state Senate district be exactly composed of two adjacent state House districts. In this paper we investigate the potential impacts of these nesting rules with a focus on Alaska, where…

Social and Information Networks · Computer Science 2020-05-27 Sophia Caldera , Daryl DeFord , Moon Duchin , Samuel C. Gutekunst , Cara Nix

We introduce a non-partisan probability distribution on congressional redistricting of North Carolina which emphasizes the equal partition of the population and the compactness of districts. When random districts are drawn and the results…

Physics and Society · Physics 2014-11-03 Jonathan C. Mattingly , Christy Vaughn

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…

In recent years, in an effort to promote fairness in the election process, a wide variety of techniques and metrics have been proposed to determine whether a map is a partisan gerrymander. The most accessible measures, requiring easily…

Physics and Society · Physics 2025-08-11 Thomas Ratliff , Stephanie Somersille , Ellen Veomett

Assuming that partisan fairness and responsiveness are important aspects of redistricting, it is important to measure them. Many measures of partisan bias are satisfactory for states that are balanced with roughly equal proportions of…

Physics and Society · Physics 2020-09-29 John F. Nagle , Alec Ramsay

We examine the extent of gerrymandering for the 2010 General Assembly district map of Wisconsin. We find that there is substantial variability in the election outcome depending on what maps are used. We also found robust evidence that the…

Applications · Statistics 2017-09-07 Gregory Herschlag , Robert Ravier , Jonathan C. Mattingly

Bizarrely shaped voting districts are frequently lambasted as likely instances of gerrymandering. In order to systematically identify such instances, researchers have devised several tests for so-called geographic compactness (i.e., shape…

Combinatorics · Mathematics 2019-07-10 Boris Alexeev , Dustin G. Mixon

After every U.S. national census, a state legislature is required to redraw the boundaries of congressional districts in order to account for changes in population. At the moment this is done in a highly partisan way, with districting done…

Computers and Society · Computer Science 2017-11-15 Jason Dou

Representative democracy in the United States relies on election systems that transmit votes into representatives in three key bodies: the two chambers of the federal legislature (House of Representatives and Senate) and the Electoral…

Applications · Statistics 2025-09-25 Lee Kennedy-Shaffer

We discuss difficulties of evaluating partisan gerrymandering in the congressional districts in Utah and the failure of many common metrics in Utah. We explain why the Republican vote share in the least-Republican district (LRVS) is a good…

Computers and Society · Computer Science 2022-07-21 Annika King , Jacob Murri , Jake Callahan , Adrienne Russell , Tyler J. Jarvis

The recent wave of attention to partisan gerrymandering has come with a push to refine or replace the laws that govern political redistricting around the country. A common element in several states' reform efforts has been the inclusion of…

Computers and Society · Computer Science 2020-05-27 Daryl DeFord , Moon Duchin , Justin Solomon

Partisan gerrymandering is a major cause for voter disenfranchisement in United States. However, convincing US courts to adopt specific measures to quantify gerrymandering has been of limited success to date. Recently, Stephanopoulos and…

Computers and Society · Computer Science 2018-04-30 Tanima Chatterjee , Bhaskar DasGupta , Laura Palmieri , Zainab Al-Qurashi , Anastasios Sidiropoulos
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