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How can we probabilistically predict the winner in a ranked-choice election without all ballots being counted? In this study, we introduce a novel algorithm designed to predict outcomes in Instant Runoff Voting (IRV) elections. The…

Computers and Society · Computer Science 2024-05-16 Nicholas Kapoor , P. Christopher Staecker

The margin of victory of an election is a useful measure to capture the robustness of an election outcome. It also plays a crucial role in determining the sample size of various algorithms in post election audit, polling etc. In this work,…

Artificial Intelligence · Computer Science 2015-05-05 Palash Dey , Y. Narahari

Risk-limiting post election audits guarantee a high probability of correcting incorrect election results, independent of why the result was incorrect. Ballot-polling audits select ballots at random and interpret those ballots as evidence…

Data Structures and Algorithms · Computer Science 2019-10-30 Michelle Blom , Peter J. Stuckey , Vanessa Teague

The single transferable vote (STV) is a system of preferential proportional voting employed in multi-seat elections. Each ballot cast by a voter is a (potentially partial) ranking over a set of candidates. The margin of victory, or simply…

Computer Science and Game Theory · Computer Science 2025-03-26 Michelle Blom , Alexander Ek , Peter J. Stuckey , Vanessa Teague , Damjan Vukcevic

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

The Single Transferable Vote (STV) is a system of preferential voting employed in multi-seat elections. Each vote cast by a voter is a (potentially partial) ranking over a set of candidates. No techniques currently exist for computing the…

Computer Science and Game Theory · Computer Science 2017-08-17 Michelle Blom , Peter J. Stuckey , Vanessa J. Teague

Instant runoff voting (IRV) has recently gained popularity as an alternative to plurality voting for political elections, with advocates claiming a range of advantages, including that it produces more moderate winners than plurality and…

Multiagent Systems · Computer Science 2024-01-19 Kiran Tomlinson , Johan Ugander , Jon Kleinberg

An election audit is risk-limiting if the audit limits (to a pre-specified threshold) the chance that an erroneous electoral outcome will be certified. Extant methods for auditing instant-runoff voting (IRV) elections are either not…

Applications · Statistics 2023-10-06 Alexander Ek , Philip B. Stark , Peter J. Stuckey , Damjan Vukcevic

Using exact computer arithmetic, it is possible to determine the (exact) solution of a numerical model without rounding error. For such purposes, a corresponding system of equations should be exactly defined, either directly or by…

Numerical Analysis · Mathematics 2019-06-17 J. Dvornik , A. Jaguljnjak Lazarevic , D. Lazarevic , M. Uros

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…

Multiagent Systems · Computer Science 2022-12-06 Kiran Tomlinson , Johan Ugander , Jon Kleinberg

Various risk-limiting audit (RLA) methods have been developed for instant-runoff voting (IRV) elections. A recent method, AWAIRE, is the first efficient approach that can take advantage of but does not require cast vote records (CVRs).…

Computers and Society · Computer Science 2024-12-03 Alexander Ek , Philip B. Stark , Peter J. Stuckey , Damjan Vukcevic

Several election districts in the US have recently moved to ranked-choice voting (RCV) to decide the results of local elections. RCV allows voters to rank their choices, and the results are computed in rounds, eliminating one candidate at a…

Computers and Society · Computer Science 2022-06-28 Alborz Jelvani , Amélie Marian

Elections where electors rank the candidates (or a subset of the candidates) in order of preference allow the collection of more information about the electors' intent. The most widely used election of this type is Instant-Runoff Voting…

Computers and Society · Computer Science 2023-12-06 Michelle Blom , Peter J. Stuckey , Vanessa Teague , Damjan Vukcevic

Recent research on instant runoff voting (IRV) shows that it exhibits a striking combinatorial property in one-dimensional preference spaces: there is an "exclusion zone" around the median voter such that if a candidate from the exclusion…

Multiagent Systems · Computer Science 2025-03-11 Kiran Tomlinson , Johan Ugander , Jon Kleinberg

Instant-runoff voting (IRV) is often used when voters rank candidates rather than choosing only one favourite. We study IRV under graph-induced metric preferences where each vertex of an unweighted undirected graph hosts one voter and is…

Computer Science and Game Theory · Computer Science 2026-05-13 Georgios Birmpas , Georgios Chionas , Efthyvoulos Drousiotis , Soodeh Habibi , Marios Mavronicolas , Paul Spirakis

Instant Runoff Voting (IRV) is used in elections for many political offices around the world. It allows voters to specify their preferences among candidates as a ranking. We identify a generalization of the rule, called Approval-IRV, that…

Computer Science and Game Theory · Computer Science 2024-04-18 Théo Delemazure , Dominik Peters

We analyze the susceptibility of instant runoff voting (IRV) to a lesser-studied paradox known as a \emph{reinforcement paradox}, which occurs when candidate $X$ wins under IRV in two distinct elections but $X$ loses in the combined…

Physics and Society · Physics 2026-04-20 David McCune , Jennifer Wilson

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…

Data Structures and Algorithms · Computer Science 2017-08-02 Michelle Blom , Peter J. Stuckey , Vanessa Teague

Markov control algorithms that perform smooth, non-greedy updates of the policy have been shown to be very general and versatile, with policy gradient and Expectation Maximisation algorithms being particularly popular. For these algorithms,…

Systems and Control · Computer Science 2012-02-20 Thomas Furmston , David Barber

Tournament solutions are frequently used to select winners from a set of alternatives based on pairwise comparisons between alternatives. Prior work has shown that several common tournament solutions tend to select large winner sets and…

Computer Science and Game Theory · Computer Science 2021-09-30 Markus Brill , Ulrike Schmidt-Kraepelin , Warut Suksompong
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