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Fairness Criteria & Approval Voting

Authored by Cinthya Espinosa

Mathematics

12th Grade

Used 1+ times

Fairness Criteria & Approval Voting
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10 questions

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1.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

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

2.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

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

3.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

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

4.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

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

5.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

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

6.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

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

7.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Media Image

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

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