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With a folk understanding that political polarization refers to socio-political divisions within a society, many have proclaimed that we are more divided than ever. In this account, polarization has been blamed for populism, the erosion of…

Maximum likelihood estimation furnishes powerful insights into voting theory, and the design of voting rules. However the MLE can usually be badly corrupted by a single outlying sample. This means that a single voter or a group of colluding…

Data Structures and Algorithms · Computer Science 2022-07-19 Allen Liu , Ankur Moitra

How can voters induce politicians to put forth more proximate (in terms of preference) as well as credible platforms (in terms of promise fulfillment) under repeated elections? Building on the work of Aragones et al. (2007), I study how…

Theoretical Economics · Economics 2025-09-11 Shiladitya Kumar

Decision procedures aggregating the preferences of multiple agents can produce cycles and hence outcomes which have been described heuristically as `chaotic'. We make this description precise by constructing an explicit dynamical system…

Statistical Mechanics · Physics 2009-10-31 David A. Meyer , Thad A. Brown

Counting votes is complex and error-prone. Several statistical methods have been developed to assess election accuracy by manually inspecting randomly selected physical ballots. Two 'principled' methods are risk-limiting audits (RLAs) and…

Applications · Statistics 2021-05-13 Zhuoqun Huang , Ronald L. Rivest , Philip B. Stark , Vanessa Teague , Damjan Vukcevic

Metric distortion in social choice is a framework for evaluating how well voting rules minimize social cost when both voters and candidates exist in a shared metric space, with a voter's cost defined by their distance to a candidate. Voters…

Computer Science and Game Theory · Computer Science 2025-02-14 Mohak Goyal , Sahasrajit Sarmasarkar

Voting theory has become increasingly integrated with computational social choice and multiagent systems. Computational complexity has been extensively used as a shield against manipulation of voting systems, however for several voting…

Computer Science and Game Theory · Computer Science 2011-08-24 Curtis Menton , Preetjot Singh

Electoral control models ways of changing the outcome of an election via such actions as adding/deleting/partitioning either candidates or voters. To protect elections from such control attempts, computational complexity has been…

Computational Complexity · Computer Science 2015-03-19 Gábor Erdélyi , Michael Fellows , Jörg Rothe , Lena Schend

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

This thesis deals with General Probabilistic Theories (GPTs) and Entanglement Structures (ESs). An ES is a possible structure of a quantum composite system in GPTs, which is not uniquely determined as the Standard Entanglement Structure…

Quantum Physics · Physics 2023-02-27 Hayato Arai

Several elections run in the last years have been characterized by attempts to manipulate the result of the election through the diffusion of fake or malicious news over social networks. This problem has been recognized as a critical issue…

Computer Science and Game Theory · Computer Science 2023-08-22 Vincenzo Auletta , Francesco Carbone , Diodato Ferraioli

By classic results in social choice theory, any reasonable preferential voting method sometimes gives individuals an incentive to report an insincere preference. The extent to which different voting methods are more or less resistant to…

Artificial Intelligence · Computer Science 2025-02-25 Wesley H. Holliday , Alexander Kristoffersen , Eric Pacuit

The mathematical study of voting, social choice theory, has traditionally only been applicable to choices among a few predetermined alternatives, but not to open-ended decisions such as collectively selecting a textual statement. We…

Computer Science and Game Theory · Computer Science 2025-03-07 Sara Fish , Paul Gölz , David C. Parkes , Ariel D. Procaccia , Gili Rusak , Itai Shapira , Manuel Wüthrich

With historic misses in the 2016 and 2020 US Presidential elections, interest in measuring polling errors has increased. The most common method for measuring directional errors and non-sampling excess variability during a postmortem for an…

Applications · Statistics 2023-02-21 Graham Tierney , Alexander Volfovsky

Reliability analysis is a sub-field of uncertainty quantification that assesses the probability of a system performing as intended under various uncertainties. Traditionally, this analysis relies on deterministic models, where experiments…

Computation · Statistics 2026-05-19 Anderson V. Pires , Maliki Moustapha , Stefano Marelli , Bruno Sudret

The voting systems known as Alternative Vote (AV) and Single Transferable Vote (STV) are extensively used for elections in Australia, possibly more than in any other jurisdiction. Often proposed as superior alternatives to Plurality and…

Physics and Society · Physics 2025-07-22 Anthony B. Morton

Lu and Boutilier proposed a novel approach based on "minimax regret" to use classical score based voting rules in the setting where preferences can be any partial (instead of complete) orders over the set of alternatives. We show here that…

Multiagent Systems · Computer Science 2017-11-13 Palash Dey

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

In an election, we are given a set of voters, each having a preference list over a set of candidates, that are distributed on a social network. We consider a scenario where voters may change their preference lists as a consequence of the…

Social and Information Networks · Computer Science 2020-06-01 Mohammad Abouei Mehrizi , Gianlorenzo D'Angelo

Epistemic social choice aims at unveiling a hidden ground truth given votes, which are interpreted as noisy signals about it. We consider here a simple setting where votes consist of approval ballots: each voter approves a set of…

Computer Science and Game Theory · Computer Science 2021-12-09 Tahar Allouche , Jérôme Lang , Florian Yger