Voting Systems and Fairness Criteria

The video tutorial discusses the Instant Runoff Voting system, highlighting a scenario where Adams initially wins but loses after a re-vote due to a change in voter preferences. This change violates the monotonicity criterion, which states that increasing support for a candidate should not harm their chances of winning. The tutorial illustrates how this criterion is violated, emphasizing the fairness issues in the voting system.

What is the main issue being discussed in the introduction of the video?

• A problem with Instant Runoff Voting

• The benefits of Instant Runoff Voting

• The history of voting systems

• The process of counting votes

In the initial vote count, which candidate had the most first-place votes?

• Carter

• Brown

• None of the above

• Adams

What happens to Carter's votes after he is eliminated?

• They are discarded

• They are transferred to Brown

• They are transferred to Adams

• They remain with Carter

What event leads to the decision to conduct a re-vote?

• A recount request

• A candidate's withdrawal

• Lost ballots

• A tie in the election

How do ten voters change their preference in the re-vote scenario?

• They switch from Adams to Brown

• They switch from Adams to Carter

• They switch from Brown to Adams

• They switch from Carter to Brown

What is the expected outcome of the change in voter preference?

• It should not affect the outcome

• It should help Brown

• It should help Carter

• It should help Adams

What is the actual outcome after the re-evaluation of votes?

• Adams wins

• There is a tie

• Brown wins

• Carter wins

What does the monotonicity criterion state?

• A candidate should be eliminated if they have the least votes

• A candidate should lose votes if they gain more support

• A candidate should always win if they have the most votes

• A candidate should not be harmed by increased support

Which fairness criterion is violated in the re-vote scenario?

• Majority criterion

• Independence of irrelevant alternatives

• Monotonicity criterion

• Condorcet criterion