Question: 7) Given the following voter profile, determine which candidate (if any) is a Condorcet Candidate and 7) the voter profile? will be selected using the

7) Given the following voter profile, determine
7) Given the following voter profile, determine which candidate (if any) is a Condorcet Candidate and 7) the voter profile? will be selected using the Plurality Method. Does the Plurality Method violate the Condorcet criteric Number of Voters | Ranking 15 >a>cod 11 c> a > d >b d > c > a > b a> d > c > b c > d > a > b A) b, b; no B) c, b; yes C) c, c; no D) b, c; yes 8) The Mathematics Department is holding an election for department chair. Each member ranks the 8) candidates from first to third. The voter profile below shows the results of the preliminary nonbindi ballots with candidates Clark (C), Jones ()), and Smith (S). Number of Voters |Ranking J > S > C 10 S > J >C J > C >S 8 C>S>J A second election is then held with the following voter profile: Number of Voters Ranking J > S >C 11 S > J > C 3 J > C >S 8 C > S > J Use the Pairwise Comparison Method to determine the winner, and determine if the Monotonicity Criterion is violated in this selection process. A) Jones, yes B) Jones, no C) Smith, no D) Smith, yes 9) In the following voter profile, use the Pairwise Comparison Method to determine the winner. If 9 ) candidate c drops out, and a second election is held, who is the winner if the Pairwise Comparison Method is again used? Does the Pairwise Comparison Method violate the Independence of Irrelevan Alternatives Criterion in this election process? Number of Voters Ranking 7 a > b >c 10 b > a > c 4 a>c> b 00 c>b > a A) b; b, no B) b; a, yes C) a; a, no D) a; b, yes 3

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