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Instant-runoff voting (IRV) is used in several countries around the world. It requires voters to rank candidates in order of preference, and uses a counting algorithm that is more complex than systems such as first-past-the-post or scoring…

Risk-limiting audits (RLAs) are an increasingly important method for checking that the reported outcome of an election is, in fact, correct. Indeed, their use is increasingly being legislated. While effective methods for RLAs have been…

Computers and Society · Computer Science 2023-08-10 Michelle Blom , Peter J. Stuckey , Vanessa Teague , Damjan Vukcevic

In the context of election security, a Risk-Limiting Audit (RLA) is a statistical framework that uses a minimal partial recount of the ballots to guarantee that the results of the election were correctly reported. A generalized RLA…

Computer Science and Game Theory · Computer Science 2026-02-05 Edouard Heitzmann

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

Single Transferable Vote (STV) elections are a principled approach to electing multiple candidates in a single election. Each ballot has a starting value of 1, and a candidate is elected if they gather a total vote value more than a defined…

Computer Science and Game Theory · Computer Science 2024-12-03 Michelle Blom , Peter J. Stuckey , Vanessa Teague , Damjan Vukcevic

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

Risk-limiting audits (RLAs) are a significant tool in increasing confidence in the accuracy of elections. They consist of randomized algorithms which check that an election's vote tally, as reported by a vote tabulation system, corresponds…

Computers and Society · Computer Science 2023-05-09 Bar Karov , Moni Naor

We describe the vote package in R, which implements the plurality (or first-past-the-post), two-round runoff, score, approval and single transferable vote (STV) electoral systems, as well as methods for selecting the Condorcet winner and…

Computation · Statistics 2021-02-12 Adrian E. Raftery , Hana Ševčíková , Bernard W. Silverman

Constructing efficient risk-limiting audits (RLAs) for multiwinner single transferable vote (STV) elections is a challenging problem. An STV RLA is designed to statistically verify that the reported winners of an election did indeed win…

Computers and Society · Computer Science 2026-03-27 Michelle Blom , Alexander Ek , Peter J. Stuckey , Vanessa Teague , Damjan Vukcevic

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

Ranked Choice Voting (RCV) and Single Transferable Voting (STV) are widely valued; but are complex to understand due to intricate per-round vote transfers. Questions like determining how far a candidate is from winning or identifying…

Computer Science and Game Theory · Computer Science 2024-07-22 Sanyukta Deshpande , Nikhil Garg , Sheldon Jacobson

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

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

Accurately determining the outcome of an election is a complex task with many potential sources of error, ranging from software glitches in voting machines to procedural lapses to outright fraud. Risk-limiting audits (RLA) are statistically…

Applications · Statistics 2021-11-16 Ian Waudby-Smith , Philip B. Stark , Aaditya Ramdas

The methods of single transferable vote (STV) and sequential ranked-choice voting (RCV) are different methods for electing a set of winners in multiwinner elections. STV is a classical voting method that has been widely used internationally…

General Economics · Economics 2023-07-03 David McCune , Erin Martin , Grant Latina , Kaitlyn Simms

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 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

The City and County of San Francisco, CA, has used Instant Runoff Voting (IRV) for some elections since 2004. This report describes the first ever process pilot of Risk Limiting Audits for IRV, for the San Francisco District Attorney's race…

Computers and Society · Computer Science 2020-04-02 Michelle Blom , Andrew Conway , Dan King , Laurent Sandrolini , Philip B. Stark , Peter J. Stuckey , Vanessa Teague

Risk-limiting audits (RLAs), an ingredient in evidence-based elections, are increasingly common. They are a rigorous statistical means of ensuring that electoral results are correct, usually without having to perform an expensive full…

Computers and Society · Computer Science 2021-10-05 Michelle Blom , Jurlind Budurushi , Ronald L. Rivest , Philip B. Stark , Peter J. Stuckey , Vanessa Teague , Damjan Vukcevic

Risk-limiting audits (RLAs) guarantee a high probability of correcting incorrect reported outcomes before the outcomes are certified. The most efficient use ballot-level comparison, comparing the voting system's interpretation of individual…

Cryptography and Security · Computer Science 2023-09-01 Philip B. Stark
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