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A Risk-Limiting Audit (RLA) is a statistical election tabulation audit with a rigorous error guarantee. We present ballot polling RLA PROVIDENCE, an audit with the efficiency of MINERVA and flexibility of BRAVO. We prove that PROVIDENCE is…

Cryptography and Security · Computer Science 2022-10-18 Oliver Broadrick , Poorvi L. Vora , Filip Zagórski

Risk-limiting audits (RLAs) are rigorous statistical procedures meant to detect invalid election results. RLAs examine paper ballots cast during the election to statistically assess the possibility of a disagreement between the winner…

Cryptography and Security · Computer Science 2022-12-23 Benjamin Fuller , Abigail Harrison , Alexander Russell

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

There are many sources of error in counting votes: the apparent winner might not be the rightful winner. Hand tallies of the votes in a random sample of precincts can be used to test the hypothesis that a full manual recount would find a…

Applications · Statistics 2008-07-28 Philip B. Stark

Predicting the winner of an election is a favorite problem both for news media pundits and computational social choice theorists. Since it is often infeasible to elicit the preferences of all the voters in a typical prediction scenario, a…

Data Structures and Algorithms · Computer Science 2016-04-21 Arnab Bhattacharyya , Palash Dey

Risk-limiting post-election audits limit the chance of certifying an electoral outcome if the outcome is not what a full hand count would show. Building on previous work, we report on pilot risk-limiting audits in four elections during 2008…

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 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

Risk-limiting audits (RLAs) can provide routine, affirmative evidence that reported election outcomes are correct by checking a random sample of cast ballots. An efficient RLA requires checking relatively few ballots. Here we construct…

Applications · Statistics 2024-10-16 Jacob Spertus

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

Presidential primaries are a critical part of the United States Presidential electoral process, since they are used to select the candidates in the Presidential election. While methods differ by state and party, many primaries involve…

Computers and Society · Computer Science 2021-09-20 Michelle Blom , Philip B. Stark , Peter J. Stuckey , Vanessa Teague , Damjan Vukcevic

One approach to risk-limiting audits (RLAs) compares randomly selected cast vote records (CVRs) to votes read by human auditors from the corresponding ballot cards. Historically, such methods reduce audit sample sizes by considering how…

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

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…

Theoretical Economics · Economics 2020-09-08 Matthew Harrison-Trainor

Risk-limiting audits (RLAs) can use information about which ballot cards contain which contests (card-style data, CSD) to ensure that each contest receives adequate scrutiny, without examining more cards than necessary. RLAs using CSD in…

Applications · Statistics 2023-09-19 Amanda K. Glazer , Jacob V. Spertus , Philip B. Stark

In a district-based election, we apply a voting rule $r$ to decide the winners in each district, and a candidate who wins in a maximum number of districts is the winner of the election. We present efficient sampling-based algorithms to…

Artificial Intelligence · Computer Science 2022-03-02 Palash Dey , Debajyoti Kar , Swagato Sanyal

We consider the problem of predicting winners in elections, for the case where we are given complete knowledge about all possible candidates, all possible voters (together with their preferences), but where it is uncertain either which…

Computer Science and Game Theory · Computer Science 2016-03-27 Krzysztof Wojtas , Krzysztof Magiera , Tomasz Miąsko , Piotr Faliszewski

Contributing to the toolbox for interpreting election results, we evaluate the robustness of election winners to random noise. We compare the robustness of different voting rules and evaluate the robustness of real-world election winners…

Computer Science and Game Theory · Computer Science 2022-08-30 Niclas Boehmer , Robert Bredereck , Piotr Faliszewski , Rolf Niedermeier

We study the election control problem with multi-votes, where each voter can present a single vote according different views (or layers, we use "layer" to represent "view"). For example, according to the attributes of candidates, such as:…

Computational Complexity · Computer Science 2023-07-03 Fengbo Wang , Aizhong Zhou , Jianliang Xu

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)…

Applications · Statistics 2008-11-12 Philip B. Stark

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