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Errors are inevitable in the implementation of any complex process. Here we examine the effect of random errors on Single Transferable Vote (STV) elections, a common approach to deciding multi-seat elections. It is usually expected that…

Computers and Society · Computer Science 2020-11-10 Michelle Blom , Andrew Conway , Peter J. Stuckey , Vanessa Teague , Damjan Vukcevic

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…

Computer Science and Game Theory · Computer Science 2023-07-03 Fatih Erdem Kizilkaya , David Kempe

Despite its shortcomings, cross-level or ecological inference remains a necessary part of some areas of quantitative inference, including in United States voting rights litigation. Ecological inference suffers from a lack of identification…

Applications · Statistics 2011-01-06 D. James Greiner , Kevin M. Quinn

AWAIRE is one of two extant methods for conducting risk-limiting audits of instant-runoff voting (IRV) elections. In principle AWAIRE can audit IRV contests with any number of candidates, but the original implementation incurred memory and…

Computers and Society · Computer Science 2024-09-24 Alexander Ek , Michelle Blom , Philip B. Stark , Peter J. Stuckey , Damjan Vukcevic

We revisit the recent breakthrough result of Gkatzelis et al. on (single-winner) metric voting, which showed that the optimal distortion of 3 can be achieved by a mechanism called Plurality Matching. The rule picks an arbitrary candidate…

Computer Science and Game Theory · Computer Science 2025-02-05 Fatih Erdem Kizilkaya , David Kempe

In this paper, we extend the voter model (VM) and the threshold voter model (TVM) to include external influences modelled as a jump process. We study the newly-formulated models both analytically and computationally, employing diffusion…

Physics and Society · Physics 2016-11-01 Jimit Majmudar , Stephen M. Krone , Bert O. Baumgaertner , Rebecca C. Tyson

Justified representation (JR) and extended justified representation (EJR) are well-established proportionality axioms in approval-based multiwinner voting. Both axioms are always satisfiable, but they rely on a fixed quota (typically Hare…

Computer Science and Game Theory · Computer Science 2026-02-18 Patrick Becker , Fabian Frank

Democracy relies on making collective decisions through voting. In addition, voting procedures have further applications, for example in the training of artificial intelligence. An essential criterion for determining the winner of a fair…

Data Structures and Algorithms · Computer Science 2025-12-19 Jannes Malanowski

Our model describes competition between groups driven by the choices of self-interested voters within groups. Within a Poisson voting environment, parties observe aggregate support from groups and can allocate prizes or punishments to them.…

Probability · Mathematics 2016-11-21 Alastair Smith , Bruce Bueno de Mesquita , Tom LaGatta

The diffusion of opinions in Social Networks is a relevant process for adopting positions and attracting potential voters in political campaigns. Opinion polarization, bias, targeted diffusion, and the radicalization of postures are key…

Physics and Society · Physics 2022-01-10 Didier A. Vega-Oliveros , Helder L. C. Grande , Flavio Iannelli , Federico Vazquez

Proportional representation (PR) is often discussed in voting settings as a major desideratum. For the past century or so, it is common both in practice and in the academic literature to jump to single transferable vote (STV) as the…

Computer Science and Game Theory · Computer Science 2018-06-05 Haris Aziz , Barton Lee

Criteria for a good voting system have been given particularly careful scrutiny in recent years, with general agreement that the core values are fair results, voter power and choice, and local representation. This paper reexamines the basic…

Physics and Society · Physics 2023-03-29 Denis Mollison

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

Many democratic societies use district-based elections, where the region under consideration is geographically divided into districts and a representative is chosen for each district based on the preferences of the electors who reside…

Computers and Society · Computer Science 2022-03-09 Adway Mitra

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

A modified version of a finite random field Ising ferromagnetic model in an external magnetic field at zero temperature is presented to describe group decision making. Fields may have a non-zero average. A postulate of minimum…

Disordered Systems and Neural Networks · Physics 2015-06-25 Serge Galam

This paper introduces the Voting with Random Proposers (VRP) procedure to address the challenges of agenda manipulation in voting. In each round of VRP, a randomly selected proposer suggests an alternative that is voted on against the…

Theoretical Economics · Economics 2025-10-03 Hans Gersbach , Kremena Valkanova

Invariant risk minimization (IRM) aims to enable out-of-distribution (OOD) generalization in deep learning by learning invariant representations. As IRM poses an inherently challenging bi-level optimization problem, most existing approaches…

Machine Learning · Computer Science 2025-05-26 Kotaro Yoshida , Konstantinos Slavakis

Despite a large body of theoretical literature on voting mechanisms, there is no documented evidence from real-world panel evaluations about the effect of trimming the extreme votes on sincere voting. We provide the first such evidence by…

General Economics · Economics 2026-02-06 Alex Krumer , Felix Otto , Tim Pawlowski

We study multiwinner elections with approval-based preferences. An instance of a multiwinner election consists of a set of alternatives, a population of voters---each voter approves a subset of alternatives, and the desired committee size…

Computer Science and Game Theory · Computer Science 2019-10-15 Piotr Skowron