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A national voting population, when segmented into groups like, for example, different states, can yield a counter-intuitive scenario where the winner may not necessarily get the most number of total votes. A recent example is the 2016…

Physics and Society · Physics 2017-09-06 Soumyajyoti Biswas , Parongama Sen

In representative democracies, the election of new representatives in regular election cycles is meant to prevent corruption and other misbehavior by elected officials and to keep them accountable in service of the ``will of the people."…

Multiagent Systems · Computer Science 2023-02-27 Xiaolin Sun , Jacob Masur , Ben Abramowitz , Nicholas Mattei , Zizhan Zheng

The outcome of the British General Election to be held in just over one week's time is widely regarded as the most difficult in living memory to predict. Current polls suggest that the two main parties are neck and neck but that there will…

Physics and Society · Physics 2015-05-04 Carlos Molinero , Elsa Arcaute , Duncan Smith , Michael Batty

Since Downs proposed that the act of voting is irrational in 1957, myriad models have been proposed to explain voting and account for observed turnout patterns. We propose a model in which partisans consider both the instrumental and…

Physics and Society · Physics 2020-03-24 Cameron Guage , Feng Fu

We investigate the problem of computing the probability of winning in an election where voter attendance is uncertain. More precisely, we study the setting where, in addition to a total ordering of the candidates, each voter is associated…

Computer Science and Game Theory · Computer Science 2021-02-01 Aviram Imber , Benny Kimelfeld

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…

Computer Science and Game Theory · Computer Science 2024-11-01 Javier Cembrano , José Correa , Ulrike Schmidt-Kraepelin , Alexandros Tsigonias-Dimitriadis , Victor Verdugo

There has been much recent work on multiwinner voting systems. However, sometimes a committee is highly structured, and if we want to vote for such a committee, our voting method should be more structured as well. We consider committees…

Computer Science and Game Theory · Computer Science 2022-11-14 Karl-Dieter Crisman

Understanding political phenomena requires measuring the political preferences of society. We introduce a model based on mixtures of spatial voting models that infers the underlying distribution of political preferences of voters with only…

Computers and Society · Computer Science 2016-10-27 Alison Nahm , Alex Pentland , Peter Krafft

In this paper we study rankings induced by power indices of players in simple game models of bicameral legislatures. For a bicameral legislature where bills are passed with a simple majority vote in each house we give a condition involving…

Combinatorics · Mathematics 2019-02-19 Victoria Powers

Social media is often blamed for the creation of echo chambers. However, these claims fail to consider the prevalence of offline echo chambers resulting from high levels of partisan segregation in the United States. Our article empirically…

Social and Information Networks · Computer Science 2025-12-12 Megan A. Brown , Tiago Ventura , Joshua A. Tucker , Jonathan Nagler

Private donors contributed more than $350 million to local election officials to support the administration of the 2020 election. Supporters argue these grants were neutral and necessary to maintain normal election operations during the…

General Economics · Economics 2023-10-10 Apoorva Lal , Daniel M Thompson

We provide mechanisms and new metric distortion bounds for line-up elections. In such elections, a set of $n$ voters, $m$ candidates, and $\ell$ positions are all located in a metric space. The goal is to choose a set of candidates and…

Computer Science and Game Theory · Computer Science 2025-02-25 Christopher Jerrett , Yue Han , Elliot Anshelevich

Complexity of voting manipulation is a prominent topic in computational social choice. In this work, we consider a two-stage voting manipulation scenario. First, a malicious party (an attacker) attempts to manipulate the election outcome in…

Computer Science and Game Theory · Computer Science 2019-06-18 Edith Elkind , Jiarui Gan , Svetlana Obraztsova , Zinovi Rabinovich , Alexandros A. Voudouris

This paper is devoted to the application of the mathematical formalism of quantum mechanics to social (political) science. By using the quantum dynamical equations we model the process of decision making in US elections. The crucial point…

General Physics · Physics 2012-06-14 Polina Khrennikova , Andrei Khrennikov , Emmanuel Haven

Despite extensive theoretical research on proportionality in approval-based multiwinner voting, its impact on which committees and candidates can be selected in practice remains poorly understood. We address this gap by (i) analyzing the…

Computer Science and Game Theory · Computer Science 2025-11-13 Niclas Boehmer , Lara Glessen , Jannik Peters

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…

Physics and Society · Physics 2023-07-31 Casey Garner , Allen Holder

Fairness in multiwinner elections, a growing line of research in computational social choice, primarily concerns the use of constraints to ensure fairness. Recent work proposed a model to find a diverse \emph{and} representative committee…

Computer Science and Game Theory · Computer Science 2022-11-28 Kunal Relia

We measure polarization in the United States Congress using the network science concept of modularity. Modularity provides a conceptually-clear measure of polarization that reveals both the number of relevant groups and the strength of…

Physics and Society · Physics 2011-07-26 Andrew Scott Waugh , Liuyi Pei , James H. Fowler , Peter J. Mucha , Mason A. Porter

Political candidates often shift their positions opportunistically in hopes of capturing more votes. When there are only two candidates, the best strategy for each of them is often to move towards the other. This eventually results in two…

Dynamical Systems · Mathematics 2023-10-25 Christoph Börgers , Bruce Boghosian , Natasa Dragovic , Anna Haensch

Evolutionary societal changes often prompt a debate. The positions of the two major political parties in the United States on civil rights issues underwent a reversal in the 20th century. The conventional view holds that this shift was a…

Applications · Statistics 2025-02-26 Nuannuan Xiang , Yuki Shiraito