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The process of legislative redistricting in New Hampshire, along with many other states across the country, was particularly contentious during the 2020 census cycle. In this paper we present an ensemble analysis of the enacted districts to…

社会与信息网络 · 计算机科学 2025-09-12 Atticus McWhorter , Daryl DeFord

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…

综合经济学 · 经济学 2026-04-03 Thomas Groll , Sharyn O'Halloran

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…

计算机与社会 · 计算机科学 2007-08-17 Pan Kai , Tan Yue , Jiang Sheng

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…

物理与社会 · 物理学 2018-03-15 Ellen Veomett

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…

物理与社会 · 物理学 2017-06-01 Mira Bernstein , Moon Duchin

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…

物理与社会 · 物理学 2020-06-22 Jordan S. Ellenberg

The process of drawing electoral district boundaries is known as political redistricting. Within this context, gerrymandering is the practice of drawing these boundaries such that they unfairly favor a particular political party, often…

数据结构与算法 · 计算机科学 2024-02-22 Jin-Yi Cai , Jacob Kruse , Kenneth Mayer , Daniel P. Szabo

As a case study into an algorithmic approach to congressional districting, North Carolina provides a lot to explore. Statistical modeling has called into question whether recent North Carolina district plans are unbiased. In particular, the…

最优化与控制 · 数学 2023-11-21 Jimmy Risk , Jennifer Switkes , Ann Zhang

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…

物理与社会 · 物理学 2014-11-03 Jonathan C. Mattingly , Christy Vaughn

Redistricting is the process by which electoral district boundaries are drawn, and a common normative assumption in this process is that districts should be drawn so as to capture coherent communities of interest (COIs). While states rely…

社会与信息网络 · 计算机科学 2023-09-26 Jacob Kruse , Song Gao , Yuhan Ji , Daniel P. Szabo , Kenneth Mayer

Ensemble analysis has become central to redistricting litigation, but parameter effects remain understudied. We analyze 315 ReCom ensembles across the three legislative chambers in 7 states, systematically varying the population tolerance,…

物理与社会 · 物理学 2025-05-28 Kristopher Tapp , Todd Proebsting , Alec Ramsay

We explore the Declination, a new metric intended to detect partisan gerrymandering. We consider instances in which each district has equal turnout, the maximum turnout to minimum turnout is bounded, and turnout is unrestricted. For each of…

物理与社会 · 物理学 2018-12-17 Marion Campisi , Andrea Padilla , Thomas C. Ratliff , Ellen Veomett

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 preprint is an exploration in how a single mathematical idea - entropy - can be applied to redistricting in a number of ways. It's meant to be read not so much as a call to action for entropy, but as a case study illustrating one of…

信息论 · 计算机科学 2020-11-05 Larry Guth , Ari Nieh , Thomas Weighill

Suppose a researcher observes individuals within a county within a state. Given concerns about correlation across individuals, it is common to group observations into clusters and conduct inference treating observations across clusters as…

计量经济学 · 经济学 2022-01-24 Yong Cai

The space of connected graph partitions underlies statistical models used as evidence in court cases and reform efforts that analyze political districting plans. In response to the demands of redistricting applications, researchers have…

物理与社会 · 物理学 2022-02-09 Elle Najt , Daryl DeFord , Justin Solomon

While manipulative attacks on elections have been well-studied, only recently has attention turned to attacks that account for geographic information, which are extremely common in the real world. The most well known in the media is…

计算机科学与博弈论 · 计算机科学 2020-03-17 Zack Fitzsimmons , Omer Lev

This article introduces the 50stateSimulations, a collection of simulated congressional districting plans and underlying code developed by the Algorithm-Assisted Redistricting Methodology (ALARM) Project. The 50stateSimulations allow for…

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…

计算机与社会 · 计算机科学 2023-12-08 Noah Lee , Hyunwoo Park , Sangho Shim

Ensembles of random legislative districts are a valuable tool for assessing whether a proposed district plan is an outlier or gerrymander. Expert witnesses have presented these in litigation using various methods, and unsurprisingly, they…

计算机与社会 · 计算机科学 2022-08-29 P. Dingus , C. Zhu , C. Gonatas