Fairness Criteria & Approval Voting

If a non-winning choice is removed from the ballot, it should not change the winner of the election.

• Independence of Irrelevant Alternatives Criterion

• Majority Criterion

• Monotonicity Criterion

• Condorcet Criterion

If a choice has a majority of first place votes, that choice should be the winner.

• Monotonicity Criterion

• Majority Criterion

• Condorcet Criterion

• Independence of Irrelevant Alternatives Criterion

If there is a choice that is preferred in every one-to-one comparison with the other choices, that choice should be the winner.

• Majority Criterion

• Monotonicity Criterion

• Condorcet Criterion

• Independence of Irrelevant Alternatives Criterion

An election resulted in Candidate A winning, with Candidate B coming in a close second, and candidate C being a distant third.

If in a head-to-head comparison a majority of people prefer B to A or C, which is the primary fairness criterion violated in the election?

• Condorcet Criterion

• Majority Criterion

• Independence of Irrelevant Alternatives Criterion

• Monotonicity Criterion

If voters change their votes to increase their preference for a candidate, it should not harm that candidate's chances of winning.

• Independence of Irrelevant Alternatives Criterion

• Monotonicity Criterion

• Condorcet Criterion

• Majority Criterion

An election resulted in Candidate A winning, with Candidate B coming in a close second, and candidate C being a distant third.

If for some reason the election had to be held again and C decided to drop out of the election, which caused B to become the winner, which is the primary fairness criterion violated in this election?

• Condorcet Criterion

• Independence of Irrelevant Alternatives Criterion

• Monotonicity Criterion

• Majority Criterion

An election resulted in Candidate A winning, with Candidate B coming in a close second, and candidate C being a distant third.

If for some reason the election had to be held again and many people who had voted for C switched their preferences to favor A, which caused B to become the winner, which is the primary fairness criterion violated in this election?

• Condorcet Criterion

• Monotonicity Criterion

• Independence of Irrelevant Alternatives Criterion

• Majority Criterion

The table below summarizes the results of an approval vote between four options: A, B, C, and D. Each column shows the number of people with a certain approval vote. Approvals are marked with an X. Find the winner under approval voting.

• Option A

• Option B

• Option C

• Option D

The table below summarizes the results of an approval vote between four options: A, B, C, and D. Each column shows the number of people with a certain approval vote. Approvals are marked with an X. Find the winner under approval voting.

• Option A

• Option B

• Option C

• Option D

The table below summarizes the results of an approval vote between four options: A, B, C, and D. Each column shows the number of people with a certain approval vote. Approvals are marked with an X. Find the winner under approval voting.

• A

• B

• C

• D