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Congressional district lines in many U.S. states are drawn by partisan actors, raising concerns about gerrymandering. To separate the partisan effects of redistricting from the effects of other factors including geography and redistricting…

Physics and Society · Physics 2024-01-15 Christopher T. Kenny , Cory McCartan , Tyler Simko , Shiro Kuriwaki , Kosuke Imai

In computational social choice, the distortion of a voting rule quantifies the degree to which the rule overcomes limited preference information to select a socially desirable outcome. This concept has been investigated extensively, but…

Computer Science and Game Theory · Computer Science 2023-12-11 Yannai A. Gonczarowski , Gregory Kehne , Ariel D. Procaccia , Ben Schiffer , Shirley Zhang

An electoral spoiler is usually defined as a losing candidate whose removal would affect the outcome by changing the winner. So far, spoiler effects have been analyzed primarily for single-winner electoral systems. We consider this subject…

Computer Science and Game Theory · Computer Science 2025-10-30 Daria Boratyn , Wojciech Słomczyński , Dariusz Stolicki , Stanisław Szufa

We consider distributed elections, where there is a center and $k$ sites. In such distributed elections, each voter has preferences over some set of candidates, and each voter is assigned to exactly one site such that each site is aware…

Computer Science and Game Theory · Computer Science 2019-07-24 Arnold Filtser , Nimrod Talmon

Gerrymandering is a long-standing issue within the U.S. political system, and it has received scrutiny recently by the U.S. Supreme Court. In this note, we prove that deciding whether there exists a fair redistricting among legal maps is…

Computational Complexity · Computer Science 2018-08-28 Richard Kueng , Dustin G. Mixon , Soledad Villar

It is important to study how strategic agents can affect the outcome of an election. There has been a long line of research in the computational study of elections on the complexity of manipulative actions such as manipulation and bribery.…

Computer Science and Game Theory · Computer Science 2023-07-24 Zack Fitzsimmons , Edith Hemaspaandra

North Carolina's constitution requires that state legislative districts should not split counties. However, counties must be split to comply with the "one person, one vote" mandate of the U.S. Supreme Court. Given that counties must be…

Computers and Society · Computer Science 2019-09-02 Daniel Carter , Zach Hunter , Dan Teague , Gregory Herschlag , Jonathan Mattingly

In elections, a set of candidates ranked consecutively (though possibly in different order) by all voters is called a clone set, and its members are called clones. A clone structure is a family of all clone sets of a given election. In this…

Computer Science and Game Theory · Computer Science 2011-10-19 Edith Elkind , Piotr Faliszewski , Arkadii Slinko

The challenge of understanding the collective behaviors of social systems can benefit from methods and concepts from physics [1-6], not because humans are similar to electrons, but because certain large-scale behaviors can be understood…

Physics and Society · Physics 2020-08-20 Alexander Siegenfeld , Yaneer Bar-Yam

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

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.…

Computers and Society · Computer Science 2015-10-14 Lucy Chenyun Wu , Jason Xiaotian Dou , Danny Sleator , Alan Frieze , David Miller

Accounting for undecided and uncertain voters is a challenging issue for predicting election results from public opinion polls. Undecided voters typify the uncertainty of swing voters in polls but are often ignored or allocated to each…

Applications · Statistics 2019-01-18 Joshua J Bon , Timothy Ballard , Bernard Baffour

We investigate whether one can determine from the transcripts of U.S. Congressional floor debates whether the speeches represent support of or opposition to proposed legislation. To address this problem, we exploit the fact that these…

Computation and Language · Computer Science 2012-06-08 Matt Thomas , Bo Pang , Lillian Lee

We generalize the well-known broken stick problem in several ways, including a discrete "brick" analogue and a sequential "pick-up sticks/bricks" version. The limit behavior of the broken brick problem gives a combinatorial proof of the…

Combinatorics · Mathematics 2020-05-21 T. Kyle Petersen , Bridget Eileen Tenner

In recent years, in an effort to promote fairness in the election process, a wide variety of techniques and metrics have been proposed to determine whether a map is a partisan gerrymander. The most accessible measures, requiring easily…

Physics and Society · Physics 2025-08-11 Thomas Ratliff , Stephanie Somersille , Ellen Veomett

This paper formalizes the lattice structure of the ballot voters cast in a ranked-choice election and the preferences that this structure induces. These preferences are shown to be counter to previous assumptions about the preferences of…

Theoretical Economics · Economics 2023-01-10 Brian Duricy

We initiate the study of bribery problem in the context of gerrymandering and reverse gerrymandering. In our most general problem, the input is a set of voters having votes over a set of alternatives, a graph on the voters, a partition of…

Computer Science and Game Theory · Computer Science 2019-09-05 Palash Dey

Many people believe that it is disadvantageous for members aligning with a minority party to cluster in cities, as this makes it easier for the majority party to gerrymander district boundaries to diminish the representation of the…

Computers and Society · Computer Science 2019-11-25 Jiahua Chen , Aneesha Manne , Rebecca Mendum , Poonam Sahoo , Alicia Yang

The Gibbard-Satterthwaite theorem implies the existence of voters, called manipulators, who can change the election outcome in their favour by voting strategically. When a given preference profile admits several such manipulators, voting…

Computer Science and Game Theory · Computer Science 2017-07-19 Umberto Grandi , Daniel Hughes , Francesca Rossi , Arkadii Slinko

How does targeted advertising influence electoral outcomes? This paper presents a one-dimensional spatial model of voting in which a privately informed challenger persuades voters to support him over the status quo. I show that targeted…

Theoretical Economics · Economics 2026-01-01 Maria Titova