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We discuss voting scenarios in which the set of voters (agents) and the set of alternatives are the same; that is, voters select a single representative from among themselves. Such a scenario happens, for instance, when a committee selects…

Computer Science and Game Theory · Computer Science 2019-07-23 Yakov Babichenko , Oren Dean , Moshe Tennenholtz

We study a model of electoral accountability and selection whereby heterogeneous voters aggregate incumbent politician's performance data into personalized signals through paying limited attention. Extreme voters' signals exhibit an…

Theoretical Economics · Economics 2023-04-05 Anqi Li , Lin Hu

In modern democracies, the outcome of elections and referendums is often remarkably tight. The repetition of these divisive events are the hallmark of a split society; to the physicist, however, it is an astonishing feat for such large…

Statistical Mechanics · Physics 2024-02-20 Olivier Devauchelle , Piotr Szymczak , Piotr Nowakowski

In this article, we study the effect of vector-valued interventions in votes under a binary voter model, where each voter expresses their vote as a $0-1$ valued random variable to choose between two candidates. We assume that the outcome is…

Applications · Statistics 2022-10-17 Manit Paul , Rishideep Roy , Soudeep Deb

Examination of precinct level data in US presidential elections reveals a correlation of large precincts and increased fraction of Republican votes. The large precinct bias is analyzed with respect to voter heterogeneity and voter…

Other Statistics · Statistics 2014-11-03 Glenn Webb

It remains an open question how to determine the winner of an election when voter preferences are incomplete or uncertain. One option is to assume some probability space over the voting profile and select the Most Probable Winner (MPW) --…

Computer Science and Game Theory · Computer Science 2023-04-27 Haoyue Ping , Julia Stoyanovich

This paper considers elections in which voters choose one candidate each, independently according to known probability distributions. A candidate receiving a strict majority (absolute or relative, depending on the version) wins. After the…

Data Structures and Algorithms · Computer Science 2024-01-22 Lisa Hellerstein , Naifeng Liu , Kevin Schewior

Elections involving a very large voter population often lead to outcomes that surprise many. This is particularly important for the elections in which results affect the economy of a sizable population. A better prediction of the true…

Computer Science and Game Theory · Computer Science 2018-01-31 Palash Dey , Pravesh K. Kothari , Swaprava Nath

The election control problem through social influence asks to find a set of nodes in a social network of voters to be the starters of a political campaign aiming at supporting a given target candidate. Voters reached by the campaign change…

Social and Information Networks · Computer Science 2020-07-14 Mohammad Abouei Mehrizi , Federico Corò , Emilio Cruciani , Gianlorenzo D'Angelo

The integrity of elections is central to democratic systems. However, a myriad of malicious actors aspire to influence election outcomes for financial or political benefit. A common means to such ends is by manipulating perceptions of the…

Computer Science and Game Theory · Computer Science 2022-06-22 Junlin Wu , Andrew Estornell , Lecheng Kong , Yevgeniy Vorobeychik

Political polarization, fueled by public discourse and echo chambers, threatens the foundation of democratic elections. However, traditional one-dimensional opinion models -- assuming ``support for one party equals opposition to another''…

Physics and Society · Physics 2025-10-31 Ziqian Liu , Xin Wang , Junyu Lu , Longzhao Liu , Hongwei Zheng , Shaoting Tang

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

Social media has been a paramount arena for election campaigns for political actors. While many studies have been paying attention to the political campaigns related to partisanship, politicians also can conduct different campaigns…

Computers and Society · Computer Science 2023-04-05 Taichi Murayama , Akira Matsui , Kunihiro Miyazaki , Yasuko Matsubara , Yasushi Sakurai

Basede on a study of the modern presidencial democracies in South America, we present a statistical mechanics exploration of the collective, coordinated action of political actors in the legislative chamber that may result on the…

Physics and Society · Physics 2024-09-24 Juan Neirotti , Nestor Caticha

We examine vote delegation when preferences of agents are private information. One group of agents (delegators) does not want to participate in voting and abstains under conventional voting or can delegate its votes to the other group…

Computer Science and Game Theory · Computer Science 2021-10-26 Hans Gersbach , Akaki Mamageishvili , Manvir Schneider

Election rules are formal processes that aggregate voters preferences, typically to select a single candidate, called the winner. Most of the election rules studied in the literature require the voters to rank the candidates from the most…

Data Structures and Algorithms · Computer Science 2019-01-31 Matthias Bentert , Piotr Skowron

We propose two opposing forces that impact the relation between electoral integrity and poverty. On the one hand, it is more costly to provide electoral integrity in states where there is more poverty due to transaction costs and…

General Economics · Economics 2025-09-22 Douglas Cumming , Sofia Johan , Ikenna Uzuegbunam

Forecasting elections -- a challenging, high-stakes problem -- is the subject of much uncertainty, subjectivity, and media scrutiny. To shed light on this process, we develop a method for forecasting elections from the perspective of…

Physics and Society · Physics 2020-09-21 Alexandria Volkening , Daniel F. Linder , Mason A. Porter , Grzegorz A. Rempala

In ranked-choice elections voters cast preference ballots which provide a voter's ranking of the candidates. The method of ranked-choice voting (RCV) chooses a winner by using voter preferences to simulate a series of runoff elections. Some…

General Economics · Economics 2023-06-12 Mallory Dickerson , Erin Martin , David McCune

Election results are determined by numerous social factors that affect the formation of opinion of the voters, including the network of interactions between them and the dynamics of opinion influence. In this work we study the result of…

Physics and Society · Physics 2009-11-11 Gonzalo Travieso , Luciano da Fontoura Costa