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Related papers: Declination as a Metric to Detect Partisan Gerryma…

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Currently, there is currently no effective, standardized way to identify the presence of partisan gerrymandering. A relatively newly proposed method of identification is ensemble analysis. This is done by generating a large neutral ensemble…

Physics and Society · Physics 2021-12-28 Karthik Seetharaman

We compare and contrast fourteen measures that have been proposed for the purpose of quantifying partisan gerrymandering. We consider measures that, rather than examining the shapes of districts, utilize only the partisan vote distribution…

Physics and Society · Physics 2019-04-18 Gregory S. Warrington

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

We introduce simulated packing and cracking as a technique for evaluating partisan-gerrymandering measures. We apply it to historical congressional and legislative elections to evaluate four measures: partisan bias, declination, efficiency…

Physics and Society · Physics 2021-02-03 Jeffrey S. Buzas , Gregory S. Warrington

We consider two symmetry metrics commonly used to analyze partisan gerrymandering: the Mean-Median Difference (MM) and Partisan Bias (PB). Our main results compare, for combinations of seats and votes achievable in districted elections, the…

Computers and Society · Computer Science 2025-07-15 Daryl DeFord , Ellen Veomett

Recently, scholars from law and political science have introduced metrics which use only election outcomes (and not district geometry) to assess the presence of partisan gerrymandering. The most high-profile example of such a tool is the…

Physics and Society · Physics 2018-03-15 Ellen Veomett

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

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

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

To assess the presence of gerrymandering, one can consider the shapes of districts or the distribution of votes. The "efficiency gap," which does the latter, plays a central role in a 2016 federal court case on the constitutionality of…

Applications · Statistics 2017-05-29 Gregory S. Warrington

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

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

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

Partisan gerrymandering, i.e., manipulation of electoral district boundaries for political advantage, is one of the major challenges to election integrity in modern day democracies. Yet most of the existing methods for detecting partisan…

Applications · Statistics 2023-06-06 Wojciech Słomczyński , Dariusz Stolicki , Stanisław Szufa

This note outlines three intellectually distinct but not mutually exclusive strategies for measuring partisan gerrymandering: partisan symmetry, efficiency gap, and algorithmic sampling.

Physics and Society · Physics 2018-01-09 Moon Duchin

Political districts may be drawn to favor one group or political party over another, or gerrymandered. A number of measurements have been suggested as ways to detect and prevent such behavior. These measures give concrete axes along which…

Computers and Society · Computer Science 2023-06-22 Richard Barnes , Justin Solomon

This paper presents a novel mechanism to endogenously determine the fair division of a state into electoral districts in a two-party setting. No geometric constraints are imposed on voter distributions or district shapes; instead, it is…

Computer Science and Game Theory · Computer Science 2019-01-07 Jamie Tucker-Foltz

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

Partisan gerrymandering poses a threat to democracy. Moreover, the complexity of the districting task may exceed human capacities. One potential solution is using computational models to automate the districting process by optimizing…

Computers and Society · Computer Science 2020-06-30 Olivia Guest , Frank J. Kanayet , Bradley C. Love

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
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