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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

Gerrymandering is the practice of drawing biased electoral maps that manipulate the voter population to gain an advantage. The most recent time gerrymandering became an issue was 2019 when the U.S. Federal Supreme Court decided that the…

Computers and Society · Computer Science 2023-12-08 Noah Lee , Hyunwoo Park , Sangho Shim

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

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

In the United States as in other countries, political and economic divisions cut along geographic and demographic lines. Richer people are more likely to vote for Republican candidates while poorer voters lean Democratic; this is consistent…

Methodology · Statistics 2014-05-20 Andrew Gelman

The problem of how to allocate to states the seats in the US House of Representatives is the most studied instance of what is termed the `apportionment problem'. We propose a new method of apportionment which is stochastic, which meets the…

Statistics Theory · Mathematics 2007-06-13 Geoffrey Grimmett

Since the 1960s, Democrats and Republicans in U.S. Congress have taken increasingly polarized positions, while the public's policy positions have remained centrist and moderate. We explain this apparent contradiction by developing a…

Physics and Society · Physics 2020-08-17 Vicky Chuqiao Yang , Daniel M. Abrams , Georgia Kernell , Adilson E. Motter

There is a tight connection between credit access and voting. We show that uncertainty in access to credit pushes voters toward more conservative candidates in US elections. Using a 1% sample of the US population with valid credit reports,…

General Economics · Economics 2024-07-10 Eleonora Brandimarti , Giacomo De Giorgi , Jeremy Laurent-Lucchetti

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

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

In recent decades, state legislatures have often drawn U.S. Congressional voting districts that look---to the human eye---to be rather twisted. In this paper, we propose a method to measure how much districts "meander" via a computation of…

History and Overview · Mathematics 2018-05-23 Eion Blanchard , Kevin Knudson

The 2020 decennial census data resulted in an increase from one to two congressional representatives in the state of Montana. The state underwent its redistricting process in 2021 in time for the November 2022 congressional elections,…

Computers and Society · Computer Science 2024-02-07 Kelly McKinnie , Erin Szalda-Petree

Examination of precinct level data in US presidential elections reveals a correlation of large precincts and increased fraction of Republican votes. The large precinct bias is analyzed with respect to voter heterogeneity and voter…

Other Statistics · Statistics 2014-11-03 Glenn Webb

Apportionment is the problem of distributing $h$ indivisible seats across states in proportion to the states' populations. In the context of the US House of Representatives, this problem has a rich history and is a prime example of…

Computer Science and Game Theory · Computer Science 2024-06-21 Paul Gölz , Dominik Peters , Ariel D. Procaccia

To audit political district maps for partisan gerrymandering, one may determine a baseline for the expected distribution of partisan outcomes by sampling an ensemble of maps. One approach to sampling is to use redistricting policy as a…

Computers and Society · Computer Science 2022-10-11 Zhanzhan Zhao , Cyrus Hettle , Swati Gupta , Jonathan Mattingly , Dana Randall , Gregory Herschlag

This paper quantitatively analyzes county-level voting patterns in Wisconsin's presidential elections from 2000 to 2024. As a pivotal swing state, Wisconsin has alternated between Democratic and Republican candidates since 2012. Using data…

Physics and Society · Physics 2025-11-03 Michelle Zuo

We investigate the networks of committee and subcommittee assignments in the United States House of Representatives from the 101st--108th Congresses, with the committees connected by ``interlocks'' or common membership. We examine the…

Physics and Society · Physics 2009-11-11 Mason A. Porter , Peter J. Mucha , M. E. J. Newman , A. J. Friend

We present an alternative voting system that aims at bridging the gap between proportional representative systems and majoritarian, single winner election systems. The system lets people vote for multiple parties, but then assigns each…

Computer Science and Game Theory · Computer Science 2016-12-01 Pietro Speroni di Fenizio , Daniele A. Gewurz

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

We compare federal election results for each state versus the USA in every second year from 1992 to 2018, to model partisan lean of each state and its dependence on the nationwide popular vote. For each state, we model both its current…

Applications · Statistics 2019-10-09 Andrey Sarantsev