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Related papers: Evaluating Partisan Gerrymandering in Wisconsin

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The colloquial phrase "partisan bias" encompasses multiple distinct conceptions of bias, including partisan advantage, packing & cracking, and partisan symmetry. All are useful and have their place, and there are several proposed measures…

Physics and Society · Physics 2025-10-08 Alec Ramsay

This article expands on the redistricting algorithm proposed by Chen and Rodden (2015) for states with fewer than eight congressional districts, populations highly concentrated in urban areas, or state laws that require preservation of…

Physics and Society · Physics 2025-08-11 Stefanie G. Wang , Nathaniel C. Merrill

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

Gerrymandering is the perversion of an election based on manipulation of voting district boundaries, and has been a historically important yet difficult task to analytically prove. We propose a Markov Chain Monte Carlo with Simulated…

Applications · Statistics 2022-09-02 Stuart Wayland

Deciding whether a political districting plan was distorted by a hidden agenda, or whether it dilutes the voting power of some group, requires a neutral baseline for comparison. Remarkably, all nine U.S. Supreme Court justices have now…

Physics and Society · Physics 2025-11-18 Sarah Cannon , Moon Duchin , Dana Randall , Parker Rule

In the design and analysis of political redistricting maps, it is often useful to be able to sample from the space of all partitions of the graph of census blocks into connected subgraphs of equal population. There are influential Markov…

Discrete Mathematics · Computer Science 2021-10-28 Ariel D. Procaccia , Jamie Tucker-Foltz

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

The map of elections framework is a methodology for visualizing and analyzing election datasets. So far, the framework was restricted to elections that have equal numbers of candidates, equal numbers of voters, and where all the (ordinal)…

Computer Science and Game Theory · Computer Science 2026-01-27 Piotr Faliszewski , Jitka Mertlová , Pierre Nunn , Stanisław Szufa , Tomasz Wąs

When auditing a redistricting plan, a persuasive method is to compare the plan with an ensemble of neutrally drawn redistricting plans. Ensembles are generated via algorithms that sample distributions on balanced graph partitions. To audit…

Physics and Society · Physics 2024-02-01 Gabriel Chuang , Gregory Herschlag , Jonathan C. Mattingly

Recently, a proposal has been advanced to detect unconstitutional partisan gerrymandering with a simple formula called the efficiency gap. The efficiency gap is now working its way towards a possible landmark case in the Supreme Court. This…

Physics and Society · Physics 2017-06-01 Mira Bernstein , Moon Duchin

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…

This paper is to obtain a simple dividing-diagram of the congressional districts, where the only limit is that each district should contain the same population if possibly. In order to solve this problem, we introduce three different…

Computers and Society · Computer Science 2007-08-17 Pan Kai , Tan Yue , Jiang Sheng

We develop a theory of distributive competition under redistricting that explains both electoral outcomes and the equilibrium allocation of policy benefits by endogenizing voter pivotality. In a multi-district model with primaries, general…

General Economics · Economics 2026-04-03 Thomas Groll , Sharyn O'Halloran

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

The efficiency gap formula was introduced in to measure political gerrymandering. It played a key role in the Gill v. Whitford case whose appeal is currently before the Supreme Court, but it was very recently shown by Bernstein and Duchin…

Physics and Society · Physics 2017-11-15 Kristopher Tapp

Voting can abstractly model any decision-making scenario and as such it has been extensively studied over the decades. Recently, the related literature has focused on quantifying the impact of utilizing only limited information in the…

Computer Science and Game Theory · Computer Science 2020-01-07 Aris Filos-Ratsikas , Evi Micha , Alexandros A. Voudouris

On the basis of a formula for calculating seat shares and natural thresholds in multidistrict elections under the Jefferson-D'Hondt system and a probabilistic model of electoral behavior based on P\'{o}lya's urn model, we propose a new…

Physics and Society · Physics 2019-09-27 Daria Boratyn , Jarosław Flis , Wojciech Słomczyński , Dariusz Stolicki

Many democratic countries use district-based elections where there is a "seat" for each district in the governing body. In each district, the party whose candidate gets the maximum number of votes wins the corresponding seat. The result of…

Applications · Statistics 2020-06-23 Adway Mitra

We introduce a novel partial differential equations approach for addressing the problem of partisan gerrymandering. Our method is based on volume preserving curvature flow, a partial differential equation which we adapt to smooth voting…

Physics and Society · Physics 2018-06-21 Matt Jacobs , Olivia Walch

Decisions about how the population of the United States should be divided into legislative districts have powerful and not fully understood effects on the outcomes of elections. The problem of understanding what we might mean by "fair…

Physics and Society · Physics 2020-06-22 Jordan S. Ellenberg