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A Mathematical Analysis of the 2022 Alaska Special Election for US House

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  • Adam Graham-Squire
  • David McCune

Abstract

The August 2022 Alaska Special Election for US House contained many interesting features from the perspective of social choice theory. This election used instant runoff voting (often referred to as ranked choice voting) to elect a winner, and many of the weaknesses of this voting method were on display in this election. For example, the Condorcet winner is different from the instant runoff winner, and the election demonstrated a monotonicity paradox. The election also demonstrated a no show paradox; as far as we are aware, this election represents the first document American ranked choice election to demonstrate this paradox.

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  • Adam Graham-Squire & David McCune, 2022. "A Mathematical Analysis of the 2022 Alaska Special Election for US House," Papers 2209.04764, arXiv.org, revised Nov 2022.
    • Handle: RePEc:arx:papers:2209.04764
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    References listed on IDEAS

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    1. Joseph Ornstein & Robert Norman, 2014. "Frequency of monotonicity failure under Instant Runoff Voting: estimates based on a spatial model of elections," Public Choice, Springer, vol. 161(1), pages 1-9, October.
    2. Nicholas R. Miller, 2017. "Closeness matters: monotonicity failure in IRV elections with three candidates," Public Choice, Springer, vol. 173(1), pages 91-108, October.
    3. Felsenthal, Dan S. & Tideman, Nicolaus, 2014. "Interacting double monotonicity failure with direction of impact under five voting methods," Mathematical Social Sciences, Elsevier, vol. 67(C), pages 57-66.
    4. David McCune & Lori McCune, 2021. "The Curious Case of the 2021 Minneapolis Ward 2 City Council Election," Papers 2111.09846, arXiv.org, revised Dec 2021.
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    Cited by:

    1. Adam Graham-Squire & David McCune, 2023. "An Examination of Ranked Choice Voting in the United States, 2004-2022," Papers 2301.12075, arXiv.org, revised Mar 2023.
    2. Richard B. Darlington, 2023. "The case for minimax-TD," Constitutional Political Economy, Springer, vol. 34(3), pages 410-420, September.

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