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How to fairly apportion congressional seats to states has been debated for centuries. We present an alternative perspective on apportionment, centered not on states but "families" of state, sets of states with "divisor-method" quotas with…

综合经济学 · 经济学 2022-10-20 Ross Hyman , Nicolaus Tideman

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…

物理与社会 · 物理学 2020-03-12 Kristopher Tapp

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

Gerrymandering is a practice of manipulating district boundaries and locations in order to achieve a political advantage for a particular party. Lewenberg, Lev, and Rosenschein [AAMAS 2017] initiated the algorithmic study of a…

数据结构与算法 · 计算机科学 2020-02-19 Eduard Eiben , Fedor V. Fomin , Fahad Panolan , Kirill Simonov

The United States leads the world in the number of mass shootings that occur each year, even as policy making on firearms remains polarized along party lines. In the face of increasing violence and public demand for policy action, we ask…

综合经济学 · 经济学 2026-03-06 Haotian Chen , Jack Kappelman

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…

计算机科学与博弈论 · 计算机科学 2020-01-07 Aris Filos-Ratsikas , Evi Micha , Alexandros A. Voudouris

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…

物理与社会 · 物理学 2025-10-08 Alec Ramsay

State delegations are often chosen through single-member district elections, creating a tension between respecting district majorities and reflecting the statewide electorate. First-past-the-post (FPTP) follows each district's majority but…

理论经济学 · 经济学 2026-02-16 Yunus C. Aybas , Oguzhan Celebi , Surabhi Dutt

The estimation of voting blocs is an important statistical inquiry in political science. However, the scope of these analyses is usually restricted to roll call data where individual votes are directly observed. Here, we examine a Bayesian…

应用统计 · 统计学 2023-01-09 John D. O'Brien

In the United States electoral system, a candidate is elected indirectly by winning a majority of electoral votes cast by individual states, the election usually being decided by the votes cast by a small number of "swing states" where the…

物理与社会 · 物理学 2012-11-06 G. C. Levine , B. Caravan , J. E. Cerise

Many democratic societies use district-based elections, where the region under consideration is geographically divided into districts and a representative is chosen for each district based on the preferences of the electors who reside…

计算机与社会 · 计算机科学 2022-03-09 Adway Mitra

We consider elections where the voters come one at a time, in a streaming fashion, and devise space-efficient algorithms which identify an approximate winning committee with respect to common multiwinner proportional representation voting…

计算机科学与博弈论 · 计算机科学 2017-03-01 Palash Dey , Nimrod Talmon , Otniel van Handel

In Hotelling's model of spatial competition, a unit mass of voters is distributed in the interval $[0,1]$ (with their location corresponding to their political persuasion), and each of $m$ candidates selects as a strategy his distinct…

计算机科学与博弈论 · 计算机科学 2024-05-09 Umang Bhaskar , Soumyajit Pyne

Like many other voting systems, Majority Judgement suffers from the weaknesses of the underlying mathematical model: Elections as problem of choice or ranking. We show how the model can be enhanced to take into account the complete process…

计算机科学与博弈论 · 计算机科学 2023-07-07 Friedemann Kemm

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

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…

物理与社会 · 物理学 2021-12-28 Karthik Seetharaman

This study demonstrates the persistent dominance of identity based voting across democratic systems, using the United States as a primary case and comparative analyses of 19 other democracies as counterfactuals. Drawing solely on election…

综合经济学 · 经济学 2025-02-27 Venkat Ram Reddy Ganuthula , Krishna Kumar Balaraman

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…

数据结构与算法 · 计算机科学 2020-11-20 Amariah Becker , Justin Solomon

Apportionment is the act of distributing the seats of a legislature among political parties (or states) in proportion to their vote shares (or populations). A famous impossibility by Balinski and Young (2001) shows that no apportionment…

计算机科学与博弈论 · 计算机科学 2024-05-07 José Correa , Paul Gölz , Ulrike Schmidt-Kraepelin , Jamie Tucker-Foltz , Victor Verdugo

In many proportional parliamentary elections, electoral thresholds (typically 3-5%) are used to promote stability and governability by preventing the election of parties with very small representation. However, these thresholds often result…

计算机科学与博弈论 · 计算机科学 2025-03-24 Théo Delemazure , Rupert Freeman , Jérôme Lang , Jean-François Laslier , Dominik Peters