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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…

物理与社会 · 物理学 2017-09-06 Soumyajyoti Biswas , Parongama Sen

The outcome of an election depends not only on which candidate is more popular, but also on how many of their voters actually turn out to vote. Here we consider a simple model in which voters abstain from voting if they think their vote…

物理与社会 · 物理学 2021-12-01 Ekaterina Landgren , Jonas L. Juul , Steven H. Strogatz

The median voter theorem has long been the default model of voter behavior and candidate choice. While contemporary work on the distribution of political opinion has emphasized polarization and an increasing gap between the "left" and the…

物理与社会 · 物理学 2021-03-25 Matthew I. Jones , Antonio D. Sirianni , Feng Fu

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…

计算机科学与博弈论 · 计算机科学 2025-02-25 Christopher Jerrett , Yue Han , Elliot Anshelevich

This paper proposes an agent-based simulation of a presidential election, inspired by the French 2017 presidential election. The simulation is based on data extracted from polls, media coverage, and Twitter. The main contribution is to…

多智能体系统 · 计算机科学 2021-01-28 Yassine Bouachrine , Carole Adam

I derive the probability that a vote cast in an Instant Runoff Voting election will change the election winner. I phrase that probability in terms of the candidates' expected vote totals, and then I estimate its magnitude for different…

计算机科学与博弈论 · 计算机科学 2025-09-24 Samuel Baltz

We study in details the turnout rate statistics for 77 elections in 11 different countries. We show that the empirical results established in a previous paper for French elections appear to hold much more generally. We find in particular…

物理与社会 · 物理学 2015-06-03 Christian Borghesi , Jean-Claude Raynal , Jean-Philippe Bouchaud

Independent voters play an increasingly decisive role in contemporary elections, yet their collective behavior remains poorly understood. This paper investigates how a minority of voters with greater flexibility in their political…

物理与社会 · 物理学 2025-12-22 Ernő Buzás , Attila Szilva

In an election in which each voter ranks all of the candidates, we consider the head-to-head results between each pair of candidates and form a labeled directed graph, called the margin graph, which contains the margin of victory of each…

理论经济学 · 经济学 2020-09-08 Matthew Harrison-Trainor

Instant runoff voting (IRV) is an increasingly-popular alternative to traditional plurality voting in which voters submit rankings over the candidates rather than single votes. In practice, elections using IRV often restrict the ballot…

多智能体系统 · 计算机科学 2022-12-06 Kiran Tomlinson , Johan Ugander , Jon Kleinberg

In the context of voting with ranked ballots, an important class of voting rules is the class of margin-based rules (also called pairwise rules). A voting rule is margin-based if whenever two elections generate the same head-to-head margins…

理论经济学 · 经济学 2026-03-11 Yifeng Ding , Wesley H. Holliday , Eric Pacuit

The metric distortion framework posits that n voters and m candidates are jointly embedded in a metric space such that voters rank candidates that are closer to them higher. A voting rule's purpose is to pick a candidate with minimum total…

计算机科学与博弈论 · 计算机科学 2023-07-03 Fatih Erdem Kizilkaya , David Kempe

Political polarization can be beneficial to competing political parties. I study how electoral competition itself generates incentives to polarize voters, even when parties are ex ante identical and motivated purely by political power,…

综合经济学 · 经济学 2026-02-02 Giampaolo Bonomi

The term glass ceiling is applied to the well-established phenomenon in which women and people of color are consistently blocked from reaching the upper-most levels of the corporate hierarchy. Focusing on gender, we present an agent-based…

社会与信息网络 · 计算机科学 2021-10-11 Yuhao Du , Jessica Nordell , Kenneth Joseph

Post-election audits use the discrepancy between machine counts and a hand tally of votes in a random sample of precincts to infer whether error affected the electoral outcome. The maximum relative overstatement of pairwise margins (MRO)…

应用统计 · 统计学 2008-11-12 Philip B. Stark

We show how to use automated computation of election margins to assess the number of votes that would need to change in order to alter a parliamentary outcome for single-member preferential electorates. In the context of increasing…

数据结构与算法 · 计算机科学 2017-08-02 Michelle Blom , Peter J. Stuckey , Vanessa Teague

To understand and summarize approval preferences and other binary evaluation data, it is useful to order the items on an axis which explains the data. In a political election using approval voting, this could be an ideological left-right…

计算机科学与博弈论 · 计算机科学 2024-05-08 Théo Delemazure , Chris Dong , Dominik Peters , Magdaléna Tydrichová

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…

其他统计学 · 统计学 2014-11-03 Glenn Webb

We consider a two-round election model involving $m$ voters and $n$ candidates. Each voter is endowed with a strict preference list ranking the candidates. In the first round, the candidates are partitioned into two subsets, $A$ and $B$,…

计算机科学与博弈论 · 计算机科学 2026-03-17 Emilio De Santis , Antonio Di Crescenzo , Verdiana Mustaro

In Spatial Voting Theory, distortion is a measure of how good the winner is. It is proved that no deterministic voting mechanism can guarantee a distortion better than $3$, even for simple metrics such as a line. In this study, we wish to…

计算机科学与博弈论 · 计算机科学 2020-08-04 Mohammad Ghodsi , Mohamad Latifian , Masoud Seddighin
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