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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…

理论经济学 · 经济学 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…

计算机科学与博弈论 · 计算机科学 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…

统计力学 · 物理学 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…

综合经济学 · 经济学 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…

物理与社会 · 物理学 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…

综合数学 · 数学 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…

统计计算 · 统计学 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…

统计方法学 · 统计学 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…

计算物理 · 物理学 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…

其他统计学 · 统计学 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…

统计方法学 · 统计学 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…

综合经济学 · 经济学 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…

计算机科学与博弈论 · 计算机科学 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…

计算机科学与博弈论 · 计算机科学 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…

统计力学 · 物理学 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…

物理与社会 · 物理学 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…

物理与社会 · 物理学 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…

应用统计 · 统计学 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…

计算复杂性 · 计算机科学 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…

物理与社会 · 物理学 2014-06-26 I. Ibarra López , H. Hernández-Saldaña