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Lack of Monotonicity Anomalies in Empirical Data of Instant-runoff Elections

Bibliographic Data

ID6378247
AuthorsAdam Graham-Squire (0000-0003-2302-4411, Department of Mathematical Sciences, High Point University, High Point, NC, USA), N Zayatz (Department of Mathematical Sciences, High Point University, High Point, NC, USA)
Year2021
Volume57
Issue4
Pages565-573
Publication date2021-10-02
Peer ReviewedYes
Open AccessNo
TypeARTICLE
VenueRepresentation (JOURNAL)
Journal identifiersISSN: 0034-4893 • E-ISSN: 1749-4001
PublisherInforma UK Limited (PUBLISHER • GB)
DOI10.1080/00344893.2020.1785536
OpenAlexW3044862674
LanguageEN
Citations received8
References cited9

The instant runoff voting (IRV) method fails the monotonicity criterion. This means in an IRV election it is theoretically possible for a winning candidate to lose an election if certain ballots are changed to raise the otherwise winning candidate higher on the ballot. We analysed data from over 100 real-world IRV elections to ascertain if any demonstrated a monotonicity anomaly. Despite theoretical research indicating potentially high incidence of such voting anomalies, our investigations found only one election showing a monotonicity anomaly: the 2009 Burlington mayoral election. Burlington was also the only election resulting in different winners using IRV, Borda Count, and Pairwise Comparison voting methods

Anomaly (physics · Ballot · Cardinal voting systems · Econometrics · Economics · Law and economics · Mathematical analysis · Mathematical economics · Monotonic function · Pairwise comparison · Physics · Political science · Statistics · Voting · Auction Theory and Applications · Electoral Systems and Political Participation · Game Theory and Voting Systems · Law · Mathematics

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    Open Access•Spencer Katzman, Keith L Dougherty•Public Choice•2026

  • Monotonicity anomalies in Scottish local government elections

    Open Access•David Mccune, Adam Graham-Squire•Social Choice and Welfare•2024

  • Monotonicity violations under plurality with a runoff

    Open Access•Umut Keskin, M Remzi Sanver et al.•Social Choice and Welfare•2022

  • New fairness criteria for truncated ballots in multi-winner ranked-choice elections

    Open Access•Adam Graham-Squire, Matthew I Jones et al.•Mathematical Social Sciences•2026

  • Ranked-choice voting and the spoiler effect

    Open Access•David Mccune, Jennifer Wilson•Public Choice•2023

  • An Examination of Ranked-Choice Voting in the United States, 2004–2022

    Adam Graham-Squire, David Mccune•Representation•2025

  • Does the Choice of Preferential Voting Method Matter? An Empirical Study Using Ranked Choice Elections in the United States

    David Mccune, Lori Mccune•Representation•2024

  • Overvotes, Overranks, and Skips

    Open Access•Stephen Pettigrew, Dylan Radley•Political Behavior•2025

  • The likelihood of monotonicity paradoxes in run-off elections

    Open Access•Dominique Lepelley, Frédéric Chantreuil et al.•Mathematical Social Sciences•1996

  • Frequency of monotonicity failure under Instant Runoff Voting

    Open Access•Joseph T Ornstein, Robert Z Norman•Public Choice•2014

  • Closeness matters

    Open Access•Nicholas R Miller•Public Choice•2017

  • Reflections on Arrow’s theorem and voting rules

    Open Access•Nicholas R Miller•Public Choice•2019

  • STV and monotonicity

    Patrick Bradley•Representation•1995

  • Lack of monotonicity — revisited

    Crispin Allard•Representation•1995

  • Ballot (and voter) "exhaustion" under Instant Runoff Voting

    Open Access•Charla M Burnett, Vladimir Kogan•Electoral Studies•2015

Unique citing works8
Citations per year2
Citation span2022 - 2026 (5)
Citation velocitycurrent
Highly citedNo
Citation typesNeutral: 8

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