Question 1 1 pts Arrow's Impossibility Theorem implies O that there is a voting method that satisfies all of the fairness criteria. that it is impossible to have a voting method that satisfies all of the fairness criteria. O none of these O that in every election, each of the voting methods must produce a different winner Question 2 1 pts An election is held among four candidates (A, B, C, and D). Using a voting method we will call X, the winner of the election is candidate A. Due to an irregularity in the original vote count, a recount is required. Before the recount takes place, candidate B drops out of the race. In the recount, still using voting method X, candidate D wins the election. Based on this information, we can say that voting method X violates the O independence of irrelevant alternatives criterion. monotonicity criterion. majority criterion. O Condorcet criterion. Question 3 1 pts An election is held among four candidates (A, B. C, and D). Using a voting method we will call X, the winner of the election is candidate A. However, candidate D beats each other candidate in a head to head, pairwise comparison. Based on this information, we can say that voting method X violates the Condorcet criterion. ) independence of irrelevant alternatives criterion. ") monotonicity criterion. O majority criterion.Question 4 1 pts For an election with four candidates (A, B, C. D) we have the following the following preference table NUMBER OF 5 5 OTERS st Choice C and Choice C A Bred Choice A B D th Choice C B Using the plurality method, which candidate wins the election? OC OA OD OB Question 5 1 pts For an election with four candidates (A, B. C. D) consider the following preference table: NUMBER OF 3 5 8 OTERS 1 st Choice D and Choice A Bird Choice A B B D 1th Choice D B Using the Borda count method, which candidate wins the election? OCQuestion 6 1 pts For an election with four candidates (A, B. C. D) consider the following preference table: NUMBER OF 5 8 VOTERS 1s Choice D A C 2nd Choice 4 C 3"d Choice B 4th Choice C D Using the majority method, which candidate wins the election? OB OD O) No winner Question 7 1 pts If there is a majority winner in an election let say candidate X. O then candidate X will also be the plurality method winner. then candidate X will also be the pairwise sequential winner. O then candidate X will also be the Condorcet method winner. O) all the the statements are true.Question 8 1 pts Given the following preference table, the plurality method winner is RANKING |15 12 8 11 9 1st Q T R S Q 2nd S Q S R T 3rd R R Q T S 4th S T Q R O Q OS OR Question 9 1 pts Given the following preference table, the Condorcet winner is RANKING | 15 12 8 11 9 1st Q T R S Q 2nd S Q S R T 3rd R R T S 4th T S T Q R OR OS OQQuestion 10 1 pts Given the following preference table, the Borda score of Candidate S is RANKING |15 12 8 11 9 1st Q T S Q 2nd S O S R T 3rd R R O T S 4th T S T Q R O 100 O 88 143 O 104 Question 11 1 pts Given the following preference table, the winner using the Hare method is RANKING |15 12 8 11 9 1st Q T R S Q 2nd S S R T 3rd R R Q T S 4th T S T Q R OT OS OR OQQuestion 12 1 pts The winner using the Sequential Pairwise voting with agenda TSQR is RANKING | 15 12 8 11 9 1st Q T R S 2nd S Q S R 3ro R R Q T S 4th T S T Q R OS OQ OR Question 13 1 pts An election is held among four candidates (A, B, C, and D). Using a voting method we will call X, the winner of the election is candidate A. However, candidate D beats each other candidate in a head to head, pairwise comparison. Based on this information, we can say that voting method X violates the O Monotonicity criterion Majority criterion Condorcet criterion O Independence of irrelevant alternatives criterion6 Which of the following is TRUE? O The given graph contains multiple edges. O The given graph is a multigraph O Vertices C and H are adjacent. O The given graph is disconnected. Question 15 1 pts Given the graph C 6 Which of the following is a walk of length 6? O (H,E.D.A,F.G.E) O (A.B.C.B.E.D) O (A,B.A.B.A,B.A) O (A,B,C.H.E,G)