Maze of ballots representing ranked choice voting paradoxes.

Ranked Choice Voting: When More Support Leads to Worse Outcomes

"Explore the surprising paradoxes in ranked choice voting systems where gaining more votes can lead to unexpected and undesirable results."


In the realm of elections, the idea that more voter support equates to a better outcome for a candidate seems almost axiomatic. It's the driving force behind campaign strategies, get-out-the-vote initiatives, and the relentless pursuit of endorsements. However, the world of ranked-choice voting (RCV) occasionally throws a wrench into this seemingly logical equation. In RCV, voters rank candidates in order of preference, and the outcome is determined through a series of eliminations and vote transfers. But what happens when gaining more support actually hurts a candidate's chances?

Researchers have long explored theoretical examples of such 'monotonicity paradoxes,' where an increase in votes paradoxically leads to a less favorable result. While these theoretical models are insightful, real-world examples have been scarce and often limited to single-winner elections. A new study, however, delves into the complexities of multi-winner elections in Scotland, uncovering instances where these voting paradoxes manifest in tangible and consequential ways.

This article will journey into the fascinating world of RCV anomalies, exploring the specific types of paradoxes that can arise and examining real-world case studies from Scottish local government elections. By understanding these counterintuitive outcomes, we can better assess the strengths and weaknesses of ranked-choice voting and its implications for fair and representative democracy.

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RCV Adoption Today

Ranked choice voting (RCV) remains a relatively uncommon electoral method in the United States, used in a limited but growing number of jurisdictions. Its adoption has expanded in recent years across several states and municipalities seeking alternatives to traditional plurality voting. The real-world impact of RCV continues to be studied, with observers noting both potential benefits and challenges in jurisdictions that have implemented it. Precise nationwide statistics on adoption and outcomes are still evolving as more jurisdictions consider and implement this system.

How RCV Functions

Ranked choice voting asks voters to rank candidates in order of preference rather than selecting a single candidate. If no candidate receives a majority of first-choice votes, the candidate with the fewest votes is eliminated, and those voters' second choices are redistributed. This process continues until one candidate achieves a majority. Proponents argue this ensures winners have broader support, while critics note the elimination rounds can produce counterintuitive outcomes where increased support for a candidate does not guarantee victory.

RCV's Origins

Ranked choice voting has roots dating back centuries, with early proposals emerging in 18th-century political theory. The method gained formal study in the 19th century as mathematicians and political scientists analyzed voting system properties. In the United States, early adoption attempts faced resistance, though the system found use in some local elections and organizational contexts. Its modern revival has been driven by concerns about spoiler effects and the desire for majority-supported winners in pluralistic electoral environments.

Understanding Monotonicity Paradoxes in Ranked Choice Voting

Maze of ballots representing ranked choice voting paradoxes.

Monotonicity paradoxes occur when changes in voter preferences that appear to favor a candidate actually lead to a worse outcome for that candidate. These paradoxes challenge our intuitive understanding of how elections should function and raise questions about the fairness and representativeness of different voting systems. There are several types of monotonicity paradoxes:

Committee Size Paradox: This paradox occurs when a candidate wins an election for one committee size but loses when the number of available seats changes. For example, a candidate might win a single-seat election but fail to secure a spot when multiple seats are up for grabs, even though the underlying voter preferences remain the same. This can create a situation where the 'best' single candidate is not considered among the 'top half' when more positions are available.

  • Upward Monotonicity Paradox: A winning candidate loses after receiving more first-preference votes.
  • Downward Monotonicity Paradox: A losing candidate wins after receiving fewer first-preference votes.
  • No-Show Paradox (or Abstention Paradox): Voters who support a candidate would have achieved a better outcome if they had abstained from voting.
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Current RCV Research

Contemporary research on ranked choice voting examines its effects on voter behavior, candidate strategy, and electoral outcomes. Studies have explored whether RCV incentivizes more civil campaigns and broader coalition-building among candidates. Some analyses have found that RCV elections may reduce negative campaigning, while other research raises questions about ballot exhaustion and voter comprehension challenges. The academic literature continues to evolve as more jurisdictions provide real-world data for analysis.

Challenges Facing RCV

Critics of ranked choice voting point to several potential weaknesses in the system. Complex ballot designs and elimination mechanics can confuse voters, leading to higher rates of spoiled or incomplete ballots. Some critics argue that the sequential elimination process can produce winners who lack broad first-choice support. Implementation challenges include voter education costs, tabulation complexity, and concerns about whether the system truly reflects the will of the electorate.

RCV vs. Other Systems

Comparative analysis of voting systems examines how ranked choice voting performs relative to plurality, majority runoff, and proportional representation methods. RCV differs from simple plurality voting by requiring candidates to earn majority support through successive rounds of elimination. Unlike two-round runoff systems, RCV consolidates the process into a single election, potentially reducing costs and increasing participation. Each approach involves tradeoffs between simplicity, representation, and voter engagement.

These paradoxes highlight the intricate and sometimes unpredictable nature of ranked-choice voting. While RCV aims to provide a more nuanced reflection of voter preferences, it is not immune to producing outcomes that defy conventional expectations of fairness and proportionality.

The Implications for Ranked Choice Voting

While the Scottish elections highlight potential flaws in ranked-choice voting, they shouldn't necessarily be seen as a reason to abandon the system altogether. The existence of paradoxes doesn't automatically invalidate a voting method. Rather, it serves as a reminder that all systems have their quirks and potential for unintended consequences. Understanding these limitations is crucial for informed decision-making and for designing election systems that best serve the needs of voters.

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Expert Perspectives on RCV

Experts in electoral reform hold diverse views on ranked choice voting's merits and limitations. Some scholars emphasize its potential to reduce polarization and encourage broader candidate appeal. Others raise concerns about implementation difficulties and the risk that complex mechanics may undermine public trust in election outcomes. A balanced assessment requires weighing both theoretical advantages and practical challenges observed in real-world adoption.

RCV's Future Trajectory

The future of ranked choice voting likely depends on continued experimentation and evaluation in adopting jurisdictions. Ongoing pilot programs and ballot initiatives will provide additional data on the system's real-world performance. Technological developments in voting equipment and ballot design may address some current implementation challenges. Public opinion and political will remain key factors in determining whether RCV adoption continues to expand.

Systemic Considerations

Ranked choice voting operates within a broader context of electoral system design and democratic governance. Systemic challenges include balancing competing values such as simplicity, fairness, majority rule, and minority representation. Any voting system involves tradeoffs, and RCV is no exception. Understanding these systemic dynamics is essential for evaluating whether RCV addresses or introduces new challenges in the pursuit of equitable electoral outcomes.

Voters and Communities

The human dimension of ranked choice voting involves how real voters, candidates, and communities experience the system. Voter education and accessibility remain important considerations, as complex ranking requirements may disadvantage some populations. Community-level impacts depend on local political contexts, demographics, and existing electoral norms. Ultimately, the success of any voting reform depends on its ability to serve and engage the people it is designed to represent.

Scottish local STV elections tested for paradoxes

PopulationScottish local government STV elections[1]
Sample size1079 elections[1]
SettingScottish local government elections[1]
Main outcomeMonotonicity and no-show paradoxes in elections[1]
Times cited1[1]
  • 1,079 electionsThe paper searched 1,079 Scottish local-government STV elections for monotonicity paradoxes.[1]

What the Scottish cases show about STV outcomes

Finding paradoxes in real election records establishes that these outcomes can occur, but the search and case descriptions do not by themselves tell us how common they are.[1] [2]

Questions the case studies leave open

  • How might the Buckie result be understood when the ward boundaries changed between the compared local-election years?[1] [3]

Terms used in the paradox analysis

Monotonicity paradox
A voting outcome in which more support can produce a worse result for a candidate.[1]

About this Article -

Written with AI assistance from published research, and reviewed by the Mystum team. See our About page for more information.

This article is based on research published under:

DOI-LINK: 10.1017/mag.2024.118,

Title: Paradoxical Oddities In Two Multiwinner Elections From Scotland

Subject: econ.gn q-fin.ec

Authors: Adam Graham-Squire, David Mccune

Published: 31-05-2023

Everything You Need To Know

1

What is Ranked Choice Voting (RCV), and how does it differ from traditional voting methods?

Ranked Choice Voting (RCV) is an electoral system where voters rank candidates in order of preference, unlike traditional methods where voters simply choose one candidate. The outcome in RCV is determined through a series of eliminations and vote transfers. This process continues until a candidate secures a majority of the votes. This approach aims to provide a more nuanced reflection of voter preferences and potentially elect candidates with broader support, but it can also lead to unexpected outcomes as described in the article.

2

What is a Monotonicity Paradox in the context of Ranked Choice Voting?

A Monotonicity Paradox in Ranked Choice Voting occurs when changes in voter preferences that would seem to benefit a candidate paradoxically lead to a worse outcome for that candidate. This is counterintuitive because we generally expect more support to translate into a better chance of winning. Several types of monotonicity paradoxes exist, including the Upward and Downward Monotonicity Paradoxes, and the Committee Size Paradox.

3

Can you explain the Upward Monotonicity Paradox in the context of the article?

The Upward Monotonicity Paradox occurs when a winning candidate loses after receiving more first-preference votes. This means that an increase in support, measured by the number of voters ranking the candidate first, results in the candidate losing the election. This outcome directly contradicts the fundamental expectation that more votes should improve a candidate's chances of winning.

4

What are the implications of the No-Show Paradox in Ranked Choice Voting?

The No-Show Paradox, also known as the Abstention Paradox, is where voters who support a candidate would have achieved a better outcome if they had abstained from voting. This means that by participating in the election and expressing their preferences, these voters inadvertently caused their preferred candidate to lose. This paradox highlights the complexity of RCV and suggests that even with honest and informed participation, the outcome might not always align with the voters' intentions.

5

Does the existence of paradoxes mean that Ranked Choice Voting is a bad system?

No, the existence of paradoxes doesn't automatically invalidate Ranked Choice Voting (RCV). The Scottish elections highlight potential flaws, but all systems have quirks and potential for unintended consequences. Understanding these limitations is crucial for informed decision-making and for designing election systems that best serve the needs of voters. The existence of paradoxes should be seen as a reminder that all voting systems have their limitations, and that the goal is to choose the system that best balances fairness, representativeness, and practicality, given the specific context and goals of the election.

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