Answers: Fairness Criteria Exercises1a. candidate A 1b. Yes, candidate A 1c. candidate A 1d. Yes, candidate A 1e. candidate C 1f. No, candidate A 2a. candidate B 2b. Yes, candidate B 2c. candidate A 2d. No, candidate B 2e. candidate B 2f. Yes 3a. candidate D 3b. candidate C 3c. Yes, candidate C 4a. candidate C 4b. candidate B 5a. candidate B 5b. Yes 6a. candidate A 6b. No, candidate B 7. In ‘1e’ above, candidate C wins the election (under Borda Count) but candidate A has a majority of the first place votes. THIS VIOLATES THE MAJORITY CRITERION. 8. 1st Violation: In ‘1e’ above, candidate C wins the election (under Borda Count) but candidate A wins all the one-on-one matchups with the other candidates. THIS VIOLATES THE CONDORCET CRITERION. 2nd Violation: In ‘2c’ above, candidate A wins the election (under Plurality) but candidate B wins all the one-on-one matchups with the other candidates. THIS VIOLATES THE CONDORCET CRITERION. 3rd Violation: In ‘3a’ above, candidate D wins the election (under Plurality with Elimination) but candidate C wins all the one-on-one matchups with the other candidates. THIS VIOLATES THE CONDORCET CRITERION. 9. In ‘4a’ above, candidate C wins the election (under Plurality with Elimination). After a revote in which all vote changes were favorable to candidate C, candidate C loses the election to candidate B. THIS VIOLATES THE MONOTONICITY CRITERION. 10. 1st Violation: In ‘1e’ above, candidate C wins the election (under Borda Count). However, one of the losers (candidate B) dropping out, causes candidate C to lose to candidate A.THIS VIOLATES THE IRRELEVANT ALTERNATIVES CRITERION. 2nd Violation: In ‘2c’ above, candidate A wins the election (under Plurality). However, one of the losers (candidate C) dropping out, causes candidate A to lose to candidate B. THIS VIOLATES THE IRRELEVANT ALTERNATIVES CRITERION. 3rd Violation: In ‘6a’ above, candidate A wins the election (under Pairwise Comparisons). However, one of the losers (candidate C) dropping out, causes candidate A to lose to candidate B. THIS VIOLATES THE IRRELEVANT ALTERNATIVES CRITERION.

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