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In representative democracy, a redistricting map is chosen to partition an electorate into districts which each elects a representative. A valid redistricting map must satisfy a collection of constraints such as being compact, contiguous,…

计算机科学与博弈论 · 计算机科学 2024-12-10 Seyed A. Esmaeili , Darshan Chakrabarti , Hayley Grape , Brian Brubach

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

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

Redistricting is the problem of dividing a state into a number $k$ of regions, called districts. Voters in each district elect a representative. The primary criteria are: each district is connected, district populations are equal (or nearly…

数据结构与算法 · 计算机科学 2020-09-02 Vincent Cohen-Addad , Philip N. Klein , Dániel Marx

Using an ensemble of redistricting plans, we evaluate whether a given political districting faithfully represents the geo-political landscape. Redistricting plans are sampled by a Monte Carlo algorithm from a probability distribution that…

We present an amelioration of current known algorithms for optimal spectral partitioning problems. The idea is to use the advantage of a representation using density functions while decreasing the computational time. This is done by…

最优化与控制 · 数学 2017-05-25 Beniamin Bogosel

How to elect the representatives in legislative bodies is a question that every modern democracy has to answer. This design task has to consider various elements so as to fulfill the citizens' expectations and contribute to the maintenance…

计算机科学与博弈论 · 计算机科学 2024-10-07 Javier Cembrano , José Correa , Gonzalo Díaz , Victor Verdugo

The election is a classical problem in distributed algorithmic. It aims to design and to analyze a distributed algorithm choosing a node in a graph, here, in a tree. In this paper, a class of randomized algorithms for the election is…

分布式、并行与集群计算 · 计算机科学 2015-07-20 Jean-François Marckert , Nasser Saheb-Djahromi , Akka Zemmari

Switching from one electoral system to another one is frequently criticized by the opposition and is viewed as a means for the ruling party to stay in power. In particular, when the new electoral system is a parallel voting (or a…

物理与社会 · 物理学 2020-02-18 Igor Mandric , Igor Roşca , Radu Buzatu

The outcome of elections is strongly dependent on the districting choices, making thus possible (and frequent) the gerrymandering phenomenon, i.e.\ politicians suitably changing the shape of electoral districts in order to win the…

最优化与控制 · 数学 2019-10-22 Alberto Saracco , Giorgio Saracco

The apportionment problem constitutes a fundamental problem in democratic societies: How to distribute a fixed number of seats among a set of states in proportion to the states' populations? This--seemingly simple--task has led to a rich…

计算机科学与博弈论 · 计算机科学 2024-11-01 Javier Cembrano , José Correa , Ulrike Schmidt-Kraepelin , Alexandros Tsigonias-Dimitriadis , Victor Verdugo

The American winner-take-all congressional district system empowers politicians to engineer electoral outcomes by manipulating district boundaries. Existing computational solutions mostly focus on drawing unbiased maps by ignoring political…

计算机与社会 · 计算机科学 2021-06-29 Wes Gurnee , David B. Shmoys

Elections are the central institution of democratic processes, and often the elected body -- in either public or private governance -- is a committee of individuals. To ensure the legitimacy of elected bodies, the electoral processes should…

计算机与社会 · 计算机科学 2022-06-01 Florian Evéquoz , Johan Rochel , Vijay Keswani , L. Elisa Celis

We present an online voting architecture based on partitioning the election in small clusters of voters and using a new Multi-party Computation algorithm for obtaining voting results from the clusters. This new algorithm has some practical…

密码学与安全 · 计算机科学 2016-03-15 Juanjo Bermúdez

Gerrymandering voting districts is one of the most salient concerns of contemporary American society, and the creation of new voting maps, along with their subsequent legal challenges, speaks for much of our modern political discourse. The…

物理与社会 · 物理学 2023-07-31 Casey Garner , Allen Holder

In this paper, we apply techniques of ensemble analysis to understand the political baseline for Congressional representation in Colorado. We generate a large random sample of reasonable redistricting plans and determine the partisan…

计算机与社会 · 计算机科学 2021-03-25 Jeanne Clelland , Haley Colgate , Daryl DeFord , Beth Malmskog , Flavia Sancier-Barbosa

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

We consider a setting with agents that have preferences over alternatives and are partitioned into disjoint districts. The goal is to choose one alternative as the winner using a mechanism which first decides a representative alternative…

计算机科学与博弈论 · 计算机科学 2023-01-10 Aris Filos-Ratsikas , Alexandros A. Voudouris

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…

物理与社会 · 物理学 2024-02-01 Gabriel Chuang , Gregory Herschlag , Jonathan C. Mattingly

Computational social choice and algorithmic decision theory offer rich aggregation theory but no comprehensive process for egalitarian self-governance: aggregation, deliberation, amendment, and consensus are each considered in isolation,…

多智能体系统 · 计算机科学 2026-05-15 Ehud Shapiro , Nimrod Talmon