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Ranked Choice Voting And Condorcet Failure in the Alaska 2022 Special Election: How Might Other Voting Systems Compare? (2303.00108v2)

Published 28 Feb 2023 in cs.CY

Abstract: The August 2022 special election for the U.S. House of Representatives in Alaska featured three main candidates and was conducted by the single-winner ranked choice voting system known as "Instant Runoff Voting." The results of this election displayed a well-known but relatively rare phenomenon known as "Condorcet failure:" Nick Begich was eliminated in the first round despite being more broadly acceptable to the electorate than either of the other two candidates. More specifically, Begich was the "Condorcet winner" of this election: Based on the Cast Vote Record, he would have defeated each of the other two candidates in head-to-head contests, but he was eliminated in the first round of ballot counting due to receiving the fewest first-place votes. The purpose of this paper is to use the data in the Cast Vote Record to explore the range of likely outcomes if this election had been conducted under two alternative voting systems: Approval Voting and STAR ("Score Then Automatic Runoff") Voting. We find that under the best assumptions available about voter behavior, it is likely -- but not at all certain -- that Peltola would still have won the election under Approval Voting, while Begich would almost certainly have won under STAR Voting.

Summary

  • The paper identifies a critical Condorcet failure in IRV, where a broadly preferred candidate was eliminated early in the Alaska 2022 special election.
  • It demonstrates through simulations that Approval Voting and STAR Voting could yield different winners, with STAR Voting favoring the Condorcet candidate.
  • The study emphasizes the need for electoral reforms that align voting systems with voter behavior to promote fair and representative outcomes.

Analyzing Condorcet Failure in Alaska's 2022 Election: A Comparative Study of Voting Systems

The paper, "Ranked Choice Voting And Condorcet Failure in the Alaska 2022 Special Election: How Might Other Voting Systems Compare?" by Jeanne N. Clelland, meticulously examines the specific outcomes and implications of the Alaska 2022 special election conducted through Instant Runoff Voting (IRV). The focus of this paper is the observed Condorcet failure and the exploration of potential outcomes under alternative voting systems, namely Approval Voting and STAR Voting.

The 2022 special election in Alaska involved three primary candidates: Democrat Mary Peltola, Republican Nick Begich, and Republican Sarah Palin. It was observed that even though Begich was preferred over the other candidates in pairwise contests, leading him to be the Condorcet winner, he was eliminated in the first round under the IRV system. This occurrence is noted as a "Condorcet failure," a situation where the candidate who would win against each of the others in head-to-head matchups does not win the election overall.

Key Findings

The paper leverages the Cast Vote Record to simulate the election under different systems:

  1. Approval Voting: This system allows voters to approve any number of candidates, with the most approved candidate winning. Under this system, the analysis indicates that Peltola might still have emerged the victor. Begich, however, would have had a pathway to victory contingent on cross-party appeal and strategic voter behavior that maximized second choices from Peltola and possibly Palin's voters.
  2. STAR Voting: This system combines scoring and runoff methodologies. Here, voters score candidates, typically out of five stars, and the top two candidates enter a runoff computed from voters' score-based preferences. The analysis projects that Begich would almost certainly have won under STAR Voting. It is noted that the system’s automatic runoff guarantees election outcomes that align more closely with the pairwise preferences, preventing the Condorcet failure evident with IRV.

Implications

The implications of these findings reach both theoretical and practical domains in electoral systems. Theoretically, the paper illuminates the limitations of IRV in consistently identifying broadly acceptable candidates across the electorate. Practically, it suggests that alternative voting systems could mitigate such anomalies, notably reducing the prominence of more polarizing candidates that accumulate first-place rankings without broader appeal.

By contemplating potential outcomes under other electoral mechanisms, the paper reinforces the need for ongoing evaluation of voting system efficacy in capturing voter intent. Additionally, it underscores the importance of aligning electoral system choice with societal values, such as fairness and reduction of polarization.

Future Directions

The research hints at the need for further exploration of voter behavior in alternative voting systems to refine predictions and understanding. As systems like STAR Voting gain potential adoption, it becomes imperative to comprehensively paper their real-world applications compared to more established methodologies like IRV and Approval Voting.

In conclusion, this paper provides a thorough examination and critique of the Alaska 2022 special election, offering insights into the mechanics and outcomes of different voting systems. It invites continued dialogue and analysis in political science and electoral reform, emphasizing the importance of system choice in electoral representation and process credibility.

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