First Round of Elimination

Oct 13, 2025 by leolavanderia.com.br 147 views

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Introduction

Instant-runoff voting (IRV) is a voting system used to elect a single winner from multiple candidates. It is also known as alternative vote (AV) or single transferable vote (STV). In this system, voters rank candidates in order of preference. If a candidate receives more than half of the first-choice votes, they win the election. If not, the candidate with the fewest first-choice votes is eliminated, and their votes are transferred to the next choice on the ballot. This process continues until a candidate reaches a majority.

The 2023 Election Results

In the 2023 election, nine candidates ran for office. The results of the election are as follows:

Number of Votes	8	6	3	4	3	3	2	1	2
First	P	S	S	H	P	H	P	T	H
Second	S	H	P	S	S	S	H	H	P
Third	H	T	H	T	T	P	S

Analyzing the Results

To analyze the results, we need to understand the voting system used in this election. The first column represents the number of votes each candidate received. The second and third columns represent the second and third choices on the ballot, respectively.

First Choice Votes

The first choice votes are as follows:

P: 8 votes
S: 6 votes
S: 3 votes
H: 4 votes
P: 3 votes
H: 3 votes
P: 2 votes
T: 1 vote
H: 2 votes

Second Choice Votes

The second choice votes are as follows:

S: 3 votes (from P)
H: 6 votes (from S)
P: 4 votes (from S)
S: 4 votes (from H)
S: 3 votes (from S)
S: 3 votes (from H)
H: 2 votes (from P)
H: 1 vote (from T)
P: 2 votes (from H)

Third Choice Votes

The third choice votes are as follows:

H: 3 votes (from S)
T: 1 vote (from H)
H: 2 votes (from P)
T: 1 vote (from S)
T: 1 vote (from H)
P: 1 vote (from T)
S: 1 vote (from H)

Elimination Process

To determine the winner, we need to eliminate the candidate with the fewest first-choice votes. In this case, it is T with 1 vote. We then transfer T's votes to the next choice on the ballot.

First Round of Elimination

After eliminating T, the votes are transferred as follows:

P: 9 votes (8 original + 1 from T)
S: 9 votes (6 original + 3 from P)
S: 6 votes (3 original)
H: 7 votes (4 original + 3 from S)
P: 4 votes (3 original)
H: 5 votes (3 original + 2 from P)
P: 4 votes (2 original + 2 from H)
H: 3 votes (2 original + 1 from T)
H: 4 votes (2 original + 2 from P)

Second Round of Elimination

After eliminating the candidate with the fewest votes, which is S with 6 votes, the votes are transferred as follows:

P: 10 votes (9 original + 1 from S)
S: 8 votes (9 original - 1 from S)
H: 8 votes (7 original + 1 from S)
P: 5 votes (4 original)
H: 6 votes (5 original + 1 from P)
P: 5 votes (4 original + 1 from H)
H: 4 votes (3 original + 1 from S)
H: 4 votes (3 original + 1 from P)
H: 6 votes (4 original + 2 from P)

Third Round of Elimination

After eliminating the candidate with the fewest votes, which is P with 5 votes, the votes are transferred as follows:

S: 13 votes (8 original + 5 from P)
H: 14 votes (8 original + 6 from P)
H: 7 votes (6 original + 1 from P)
H: 7 votes (4 original + 3 from P)
H: 8 votes (4 original + 4 from P)
H: 6 votes (4 original + 2 from P)
H: 5 votes (4 original + 1 from P)
H: 5 votes (4 original + 1 from P)
H: 10 votes (6 original + 4 from P)

Winner Determination

After the third round of elimination, the candidate with the most votes is H with 14 votes. Therefore, H is the winner of the election.

Conclusion

In conclusion, the 2023 election results were analyzed using the instant-runoff voting system. The winner of the election was determined to be H with 14 votes. This system allows voters to rank candidates in order of preference, ensuring that the winner is the candidate with the most support from the voters.

Recommendations

Based on the analysis of the 2023 election results, the following recommendations are made:

Increase voter education: To ensure that voters understand the instant-runoff voting system and how to rank candidates in order of preference.
Improve voting system: To make the voting system more efficient and user-friendly, reducing the risk of errors and ensuring that votes are accurately counted.
Encourage voter participation: To increase voter turnout and ensure that all eligible voters participate in the election.

Future Research Directions

Future research directions include:

Comparing instant-runoff voting with other voting systems: To determine which voting system is most effective in ensuring that the winner is the candidate with the most support from the voters.
Analyzing the impact of instant-runoff voting on voter behavior: To determine how the instant-runoff voting system affects voter behavior and decision-making.
Developing new voting systems: To create new voting systems that are more efficient, user-friendly, and effective in ensuring that the winner is the candidate with the most support from the voters.

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Introduction

Frequently Asked Questions

Q: What is instant-runoff voting?

A: Instant-runoff voting is a voting system used to elect a single winner from multiple candidates. It is also known as alternative vote (AV) or single transferable vote (STV).

Q: How does instant-runoff voting work?

A: In instant-runoff voting, voters rank candidates in order of preference. If a candidate receives more than half of the first-choice votes, they win the election. If not, the candidate with the fewest first-choice votes is eliminated, and their votes are transferred to the next choice on the ballot. This process continues until a candidate reaches a majority.

Q: What are the benefits of instant-runoff voting?

A: The benefits of instant-runoff voting include:

Increased voter participation: Instant-runoff voting allows voters to rank candidates in order of preference, increasing voter participation and engagement.
More accurate results: Instant-runoff voting ensures that the winner is the candidate with the most support from the voters, reducing the risk of a candidate winning with a minority of votes.
Reduced spoiler effect: Instant-runoff voting reduces the spoiler effect, where a third-party candidate splits the vote and allows a less popular candidate to win.

Q: What are the challenges of instant-runoff voting?

A: The challenges of instant-runoff voting include:

Complexity: Instant-runoff voting can be complex, making it difficult for voters to understand and participate in the process.
Voter education: Instant-runoff voting requires voter education to ensure that voters understand the system and how to rank candidates in order of preference.
Voting system implementation: Instant-runoff voting requires a voting system that can accurately count and transfer votes, which can be a challenge in some jurisdictions.

Q: Is instant-runoff voting used in the United States?

A: Instant-runoff voting is not widely used in the United States, but it has been used in some local and state elections. Some cities and states that have used instant-runoff voting include:

San Francisco: San Francisco has used instant-runoff voting in municipal elections since 2004.
Maine: Maine has used instant-runoff voting in presidential elections since 2016.
Maryland: Maryland has used instant-runoff voting in some local elections.

Q: Can instant-runoff voting be used in presidential elections?

A: Yes, instant-runoff voting can be used in presidential elections. However, it would require a significant change to the Electoral College system, which is currently used to elect the president.

Q: How can I get involved in instant-runoff voting?

A: You can get involved in instant-runoff voting by:

Educating yourself: Learn more about instant-runoff voting and its benefits and challenges.
Advocating for change: Advocate for the use of instant-runoff voting in your local and state elections.
Participating in elections: Participate in elections that use instant-runoff voting and encourage others to do the same.

Conclusion

Instant-runoff voting is a voting system that allows voters to rank candidates in order of preference. It has several benefits, including increased voter participation, more accurate results, and reduced spoiler effect. However, it also has some challenges, including complexity, voter education, and voting system implementation. If you are interested in getting involved in instant-runoff voting, there are several ways to do so, including educating yourself, advocating for change, and participating in elections.