HW XXXXXXXXXXVoting Rules 1 XXXXXXXXXXOf the following rules, which do you personally find most appealing, and why? (Note: if you submit homework as a group, each should answer this question...

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HW 10 (+25) Voting Rules 1 1. (+3) Of the following rules, which do you personally find most appealing, and why? (Note: if you submit homework as a group, each should answer this question individually.) a. Unanimity rule b. Plurality rule c. Negative voting d. Majority rule with run-off e. Ranked choice voting f. Borda count 2. (+22) Seven individuals (?? through ??) must choose between four policy alternatives (?? through ??). The utilities that each derive from each of the alternatives are given by the following. w x y z A 6 3 1 0 B 0 5 3 2 C 2 1 7 0 D 3 2 1 4 E 3 2 4 1 F 0 4 1 5 G 1 0 3 6 a. (+2) Does a Condorcet winner exist? Justify your answer. b. (+2) Does a Condorcet loser exist? Justify your answer. c. (+2) Which alternative is optimal from a utilitarian perspective? Why? d. (+2) Which is optimal from a Rawlsian perspective? Why? e. (+8) Assume that individuals vote sincerely. For each of the voting rules listed in question 1 identify which alternative(s) will be chosen, or state that the rule is indeterminate for this electorate. To accommodate ties, you may augment the basic procedures, but state clearly any such adjustments. f. (+2) On the basis of this analysis, what policy do you think ought to be implemented, and why? Is this the recommendation of the rule that you endorsed in question 1? g. (+2) Use your analysis from part (d) to illustrate one example of an incentive to vote strategically, instead of sincerely. HW 10 (+25) Voting Rules 1