Approval voting vs Borda count in Politics - What is The Difference?

Last Updated Feb 2, 2025

Borda count is an electoral system where voters rank candidates in order of preference, and points are assigned based on each ranking position. This method encourages consensus by aggregating preferences to determine the most broadly acceptable candidate rather than just the majority favorite. Discover how Borda count can influence election outcomes and its advantages by reading the rest of the article.

Table of Comparison

Aspect Borda Count Approval Voting
Definition Voters rank candidates; points assigned based on position. Voters approve any number of candidates; highest approvals win.
Voting Method Rank-order voting system. Yes/no voting on each candidate.
Winner Selection Candidate with highest total points. Candidate with most approvals.
Voter Strategy Encourages sincere ranking; vulnerable to tactical ranking. Simple approval or disapproval; less complex strategy.
Complexity Moderate; requires full ranking. Low; requires marking approval only.
Pros Reflects voter preferences intensity; reduces vote splitting. Easier and faster voting; reduces vote splitting.
Cons Can be manipulated by ranking tactics; more complex tallying. May encourage approvals for compromise candidates; less expressive.
Use Cases Political elections, academic settings with ranked preferences. Organizational elections, advisory polls, simple decision-making.

Introduction to Borda Count and Approval Voting

Borda Count ranks candidates by assigning points based on their position in each voter's preference list, with the candidate receiving the highest total points declared the winner. Approval Voting allows voters to select all candidates they approve of, and the candidate with the most approvals wins. Both methods aim to capture voter preferences more comprehensively than simple plurality voting, with Borda Count emphasizing ranked preferences and Approval Voting focusing on broad acceptability.

Historical Background and Development

The Borda count, developed in the 18th century by French mathematician Jean-Charles de Borda, was designed to improve decision-making by ranking preferences rather than selecting a single choice, influencing electoral and group decision systems globally. Approval voting emerged in the 20th century, conceptualized by political scientist Robert J. Weber in 1971, offering a simpler method where voters approve all candidates they find acceptable, enhancing expressiveness and reducing vote-splitting. Both methods reflect evolving efforts to capture voter preferences more accurately and address limitations of plurality voting in democratic processes.

Fundamental Principles of Each Method

The Borda count assigns points based on voter rankings, giving a weighted score to candidates that reflects overall preference intensity, emphasizing ordinal preference aggregation. Approval voting requires voters to approve as many candidates as they like, treating all approvals equally without ranking, focusing on majority consent and simplicity. While Borda count captures nuanced voter preferences through rank-based scoring, approval voting prioritizes binary support to identify broadly acceptable candidates.

Voting Process: Step-by-Step Comparison

Borda count assigns points to each candidate based on their rank position on each ballot, with voters ranking all candidates and the candidate with the highest total points winning. Approval voting allows voters to select (approve) any number of candidates without ranking, and the candidate with the most approvals wins. Unlike Borda count's weighted ranking system, Approval voting simplifies the process by treating each approved candidate equally, streamlining vote tallying and reducing strategic ranking complexities.

Mathematical Basis and Counting Mechanisms

Borda Count assigns points to candidates based on their rank positions in each voter's preference list, using a descending numerical scale to calculate total scores and determine the winner. Approval Voting, by contrast, allows voters to approve of as many candidates as they wish, tallying the total approvals each candidate receives without ranking. The mathematical basis of Borda Count relies on positional scoring and summation, while Approval Voting depends on binary approval aggregation, making it simpler but less sensitive to voter intensity of preference.

Advantages of Borda Count

Borda Count offers a more nuanced ranking system by assigning points to all candidates based on voter preferences, which reduces the likelihood of vote splitting and helps elect consensus candidates. Its advantage lies in capturing voter intensity and preference order, providing a comprehensive reflection of the electorate's overall sentiment. This method mitigates strategic voting behavior commonly seen in Approval Voting by encouraging honest rankings rather than simple approvals.

Advantages of Approval Voting

Approval voting offers a simpler and more intuitive method by allowing voters to select all candidates they find acceptable, reducing vote splitting and strategic manipulation compared to Borda count. This system tends to produce winners with broader support since it aggregates voter approval rather than ranked preferences, capturing true voter consensus more effectively. It also minimizes the impact of insincere voting, enhancing overall election fairness and accuracy.

Common Criticisms and Limitations

Borda count is often criticized for its vulnerability to strategic manipulation, as voters may insincerely rank candidates to influence outcomes, while Approval voting faces limitations in expressing voter preferences beyond simple approval or disapproval. Both methods can fail to fully capture voter intensity or nuanced preferences, with Borda count potentially distorting collective rankings due to tactical voting and Approval voting possibly oversimplifying complex choices. These limitations highlight challenges in achieving fair and representative election results under each system.

Real-World Applications and Case Studies

Borda count is widely utilized in academic settings and organizational elections, such as the Mathematical Association of America, where ranked preferences help resolve ties and reflect nuanced voter priorities. Approval voting has gained traction in governmental elections and professional organizations like the Society of Professional Journalists, promoting simplicity and reducing strategic voting by allowing voters to endorse multiple candidates. Case studies in Fargo, North Dakota, demonstrate approval voting's effectiveness in local elections by increasing voter satisfaction and reducing wasted votes compared to traditional plurality systems.

Which System is Best for Your Organization?

Borda count ranks candidates based on aggregated preference scores, favoring consensus choices, while approval voting allows voters to select all acceptable candidates, promoting broader support. Organizations seeking to identify the most preferred option with nuanced ranking often benefit from the Borda count, whereas those valuing simplicity and inclusivity lean towards approval voting. The best system depends on your organization's goals: prioritize detailed preference expression for Borda count or straightforward majority approval for approval voting.

Borda count Infographic

Approval voting vs Borda count in Politics - What is The Difference?


About the author. JK Torgesen is a seasoned author renowned for distilling complex and trending concepts into clear, accessible language for readers of all backgrounds. With years of experience as a writer and educator, Torgesen has developed a reputation for making challenging topics understandable and engaging.

Disclaimer.
The information provided in this document is for general informational purposes only and is not guaranteed to be complete. While we strive to ensure the accuracy of the content, we cannot guarantee that the details mentioned are up-to-date or applicable to all scenarios. Topics about Borda count are subject to change from time to time.

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