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In the context of modern sampling methods for redistricting, we define a natural measurement of the clustering of a political party, and we study how clustering affects the expected election outcome. We first prove general results and then…

Physics and Society · Physics 2020-03-12 Kristopher Tapp

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

"Compactness," or the use of shape as a proxy for fairness, has been a long-running theme in the scrutiny of electoral districts; badly-shaped districts are often flagged as examples of the abuse of power known as gerrymandering. The most…

Physics and Society · Physics 2023-08-17 Moon Duchin , Bridget Eileen Tenner

Several measures of partisan bias are reviewed for single member districts with two dominant parties. These include variants of the simple bias that considers only deviation of seats from 50% at statewide 50% vote. Also included are…

Physics and Society · Physics 2020-06-26 John F. Nagle

The gerrymandering problem is a worldwide problem which sets great threat to democracy and justice in district based elections. Thanks to partisan redistricting commissions, district boundaries are often manipulated to benefit incumbents.…

Computers and Society · Computer Science 2015-10-14 Lucy Chenyun Wu , Jason Xiaotian Dou , Danny Sleator , Alan Frieze , David Miller

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

Political actors often manipulate redistricting plans to gain electoral advantages, a process known as gerrymandering. Several states have implemented institutional reforms to address this problem, such as establishing map-drawing…

Applications · Statistics 2025-08-12 Cory McCartan , Christopher T. Kenny , Tyler Simko , Emma Ebowe , Michael Y. Zhao , Kosuke Imai

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

Geographical considerations such as contiguity and compactness are necessary elements of political districting in practice. Yet an analysis of the problem without such constraints yields mathematical insights that can inform real-world…

Physics and Society · Physics 2022-02-04 Gerdus Benade , Nam Ho-Nguyen , J. N. Hooker

Using an ensemble of redistricting plans, we evaluate whether a given political districting faithfully represents the geo-political landscape. Redistricting plans are sampled by a Monte Carlo algorithm from a probability distribution that…

Why not have a computer just draw a map? This is something you hear a lot when people talk about gerrymandering, and it's easy to think at first that this could solve redistricting altogether. But there are more than a couple problems with…

Data Structures and Algorithms · Computer Science 2020-11-20 Amariah Becker , Justin Solomon

The outcome of elections is strongly dependent on the districting choices, making thus possible (and frequent) the gerrymandering phenomenon, i.e.\ politicians suitably changing the shape of electoral districts in order to win the…

Optimization and Control · Mathematics 2019-10-22 Alberto Saracco , Giorgio Saracco

We introduce the Geography and Election Outcome (GEO) metric, a new method for identifying potential partisan gerrymanders. In contrast with currently popular methods, the GEO metric uses both geographic information about a districting plan…

Physics and Society · Physics 2022-04-27 Marion Campisi , Thomas Ratliff , Stephanie Somersille , Ellen Veomett

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…

American democracy is currently heavily reliant on plurality in single-member districts, or PSMD, as a system of election. But public perceptions of fairness are often keyed to partisan proportionality, or the degree of congruence between…

Computers and Society · Computer Science 2023-08-23 Moon Duchin , Gabe Schoenbach

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

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…

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

We study the problem of a partisan gerrymanderer who assigns voters to equipopulous districts so as to maximize his party's expected seat share. The designer faces both aggregate uncertainty (how many votes his party will receive) and…

Theoretical Economics · Economics 2023-04-20 Anton Kolotilin , Alexander Wolitzky

Gerrymandering, the deliberate manipulation of electoral district boundaries for political advantage, is a persistent issue in U.S. redistricting cycles. This paper introduces and analyzes a new phenomenon, 'votemandering'- a strategic…

Computer Science and Game Theory · Computer Science 2023-08-17 Sanyukta Deshpande , Ian G Ludden , Sheldon H Jacobson
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