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We explore the fairness of a redistricting game introduced by Mixon and Villar, which provides a two-party protocol for dividing a state into electoral districts, without the participation of an independent authority. We analyze the game in…

计算机科学与博弈论 · 计算机科学 2024-01-24 Jia-Wei Liang , Nina Amenta

We design and analyze a protocol for dividing a state into districts, where parties take turns proposing a division, and freezing a district from the other party's proposed division. We show that our protocol has predictable and provable…

计算机科学与博弈论 · 计算机科学 2017-10-25 Wesley Pegden , Ariel D. Procaccia , Dingli Yu

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…

应用统计 · 统计学 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…

计算机与社会 · 计算机科学 2023-08-23 Moon Duchin , Gabe Schoenbach

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.…

计算机与社会 · 计算机科学 2015-10-14 Lucy Chenyun Wu , Jason Xiaotian Dou , Danny Sleator , Alan Frieze , David Miller

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…

理论经济学 · 经济学 2023-04-20 Anton Kolotilin , Alexander Wolitzky

We consider a two-round election model involving $m$ voters and $n$ candidates. Each voter is endowed with a strict preference list ranking the candidates. In the first round, the candidates are partitioned into two subsets, $A$ and $B$,…

计算机科学与博弈论 · 计算机科学 2026-03-17 Emilio De Santis , Antonio Di Crescenzo , Verdiana Mustaro

Landau, Reid, and Yershov [A Fair Division Solution to the Problem of Redistricting, \textit{Social Choice and Welfare}, 2008] propose a protocol for drawing legislative districts based on a two player fair division process, where each…

组合数学 · 数学 2018-11-15 Jessica De Silva , Brady Gales , Bryson Kagy , David Offner

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…

计算机与社会 · 计算机科学 2020-06-30 Olivia Guest , Frank J. Kanayet , Bradley C. Love

We study variants of a stochastic game inspired by backgammon where players may propose to double the stake, with the game state dictated by a one-dimensional random walk. Our variants allow for different numbers of proposals and different…

Redistricting efforts have gathered contemporary attention in both popular and scholarly debates, particularly in the United States where efforts to redraw congressional districts to favor either of the two major parties in 12 states --…

计算机科学与博弈论 · 计算机科学 2026-05-22 Michael C. Chavrimootoo , Aidan Jeansonne

Every representative democracy must specify a mechanism under which voters choose their representatives. The most common mechanism in the United States -- Winner takes all single-member districts -- both enables substantial partisan…

计算机科学与博弈论 · 计算机科学 2026-02-23 Nikhil Garg , Wes Gurnee , David Rothschild , David Shmoys

As granular data about elections and voters become available, redistricting simulation methods are playing an increasingly important role when legislatures adopt redistricting plans and courts determine their legality. These simulation…

应用统计 · 统计学 2020-06-19 Benjamin Fifield , Kosuke Imai , Jun Kawahara , Christopher T. Kenny

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…

组合数学 · 数学 2019-07-10 Boris Alexeev , Dustin G. Mixon

After every U.S. national census, a state legislature is required to redraw the boundaries of congressional districts in order to account for changes in population. At the moment this is done in a highly partisan way, with districting done…

计算机与社会 · 计算机科学 2017-11-15 Jason Dou

In this work the properties of multi choice minority games are studied by means of extensive computational simulations. We have considered several ways of rewarding the strategies of the players and compared the resulting behaviours of the…

无序系统与神经网络 · 物理学 2008-11-23 J. Menche , J. R. L. de Almeida

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…

物理与社会 · 物理学 2021-03-03 Constantine , Gonatas

We consider game-theoretically secure distributed protocols for coalition games that approximate the Shapley value with small multiplicative error. Since all known existing approximation algorithms for the Shapley value are randomized, it…

计算机科学与博弈论 · 计算机科学 2024-12-30 T-H. Hubert Chan , Qipeng Kuang , Quan Xue

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

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…

计算机与社会 · 计算机科学 2018-04-30 Tanima Chatterjee , Bhaskar DasGupta , Laura Palmieri , Zainab Al-Qurashi , Anastasios Sidiropoulos
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