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For centuries, it has been widely believed that the influence of a small coalition of voters is negligible in a large election. Consequently, there is a large body of literature on characterizing the likelihood for an election to be…

Theoretical Economics · Economics 2023-06-13 Lirong Xia

We study a model of temporal voting where there is a fixed time horizon, and at each round the voters report their preferences over the available candidates and a single candidate is selected. Prior work has adapted popular notions of…

Computer Science and Game Theory · Computer Science 2025-02-11 Edith Elkind , Svetlana Obraztsova , Jannik Peters , Nicholas Teh

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

The standard voting methods in the United States, plurality and ranked choice (or instant runoff) voting, are susceptible to significant voting failures. These flaws include Condorcet and majority failures as well as monotonicity and…

General Economics · Economics 2025-01-10 N. Bradley Fox , Benjamin Bruyns

We study the statistics of turnout rates and results of the French elections since 1992. We find that the distribution of turnout rates across towns is surprisingly stable over time. The spatial correlation of the turnout rates, or of the…

Physics and Society · Physics 2015-05-18 Christian Borghesi , Jean-Philippe Bouchaud

The chronicle of prime numbers travel back thousands of years in human history. Not only the traits of prime numbers have surprised people, but also all those endeavors made for ages to find a pattern in the appearance of prime numbers has…

General Mathematics · Mathematics 2022-09-27 Tashreef Muhammad , G. M. Shahariar , Tahsin Aziz , Mohammad Shafiul Alam

Composite likelihood inference has gained much popularity thanks to its computational manageability and its theoretical properties. Unfortunately, performing composite likelihood ratio tests is inconvenient because of their awkward…

Computation · Statistics 2014-08-01 Manuela Cattelan , Nicola Sartori

Statistical comparisons of electoral variables are made between groups of electronic voting machines and voting centers classified by types of transmissions according to the volume of traffic in incoming and outgoing data of machines from…

Methodology · Statistics 2012-05-17 Isbelia Martín

In the Monte Carlo (MC) method statistical noise is usually present. Statistical noise may become dominant in the calculation of a distribution, usually by iteration, but is less Important in calculating integrals. The subject of the…

Computational Physics · Physics 2013-11-08 Mihály Makai , Zoltán Szatmáry

To many statisticians and citizens, the outcome of the most recent U.S. presidential election represents a failure of data-driven methods on the grandest scale. This impression has led to much debate and discussion about how the election…

Other Statistics · Statistics 2017-04-06 Harry Crane , Ryan Martin

In district-based multi-party elections, electors cast votes in their respective districts. In each district, the party with maximum votes wins the corresponding seat in the governing body. Election Surveys try to predict the election…

Methodology · Statistics 2023-12-27 Adway Mitra , Palash Dey

This paper examines voters' responses to the disclosure of electoral crime information in large democracies. I focus on Brazil, where the electoral court makes candidates' criminal records public before every election. Using a sample of…

General Economics · Economics 2019-12-24 Andre Assumpcao

Most of the computational study of election problems has assumed that each voter's preferences are, or should be extended to, a total order. However in practice voters may have preferences with ties. We study the complexity of manipulative…

Computer Science and Game Theory · Computer Science 2015-06-16 Zack Fitzsimmons , Edith Hemaspaandra

Strategic voting, or manipulation, is the process by which a voter misrepresents his preferences in an attempt to elect an outcome that he considers preferable to the outcome under sincere voting. It is generally agreed that manipulation is…

Computer Science and Game Theory · Computer Science 2022-11-10 Egor Ianovski , Daria Teplova , Valeriia Kuka

Tossing a coin is the most elementary Monte Carlo experiment. In a computer the coin is replaced by a pseudo random number generator. It can be shown analytically and by exact enumerations that popular random number generators are not…

Statistical Mechanics · Physics 2007-05-23 Heiko Bauke , Stephan Mertens

How often will elections end in landslides? What is the probability for a head-to-head race? Analyzing ballot results from several large countries rather anomalous and yet unexplained distributions have been observed. We identify tactical…

Physics and Society · Physics 2010-09-17 Nuno A. M. Araújo , José S. Andrade , Hans J. Herrmann

The previous twelve turnout rates of French national elections by municipality show regularities. These regularities do not depend on the national turnout level, nor on the nature of the election. Based on past statistical regularities we…

Physics and Society · Physics 2009-05-29 Christian Borghesi

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

Manipulation, bribery, and control are well-studied ways of changing the outcome of an election. Many voting rules are, in the general case, computationally resistant to some of these manipulative actions. However when restricted to…

Computational Complexity · Computer Science 2017-07-24 Gábor Erdélyi , Martin Lackner , Andreas Pfandler

The availability of electoral data in electronic format allowed to physicist and mathematicians their own analysis. Beyond theoretical models for electoral processes, new regularities had been found in the data analysis of many countries…

Physics and Society · Physics 2014-06-26 I. Ibarra López , H. Hernández-Saldaña
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