Review for Test (Chapter 1)

Review for test (chapter 1)
Questions 1 through 5 refer to an election with 4 candidates (A, B, C, and D), 71 voters and preference schedule given by the following table.

/ / Using the plurality method the winner of the election is
/ D
/ B
/ A
/ C
/ None of the above
/
/ / Using the method of pairwise comparisons the winner of the election is
/ D
/ B
/ C
/ A
/ None of the above
/
/ / Using the extended plurality ranking method, which candidate comes in last?
/ C
/ A
/ D
/ B
/ None of the above
/
/ / Using the extended Borda count ranking method, which candidate comes in last?
/ A
/ C
/ D
/ B
/ None of the above
/
/ / The candidate that comes in third place using the recursive plurality with elimination ranking method is
/ C
/ A
/ B
/ D
/ None of the above
/
/ / How many people voted in this election?

/ 81
/ 6
/ 5
/ 41
/ None of the above
/
/ / What is the total number of pairwise comparisons in an election among 21 candidates?
/ 220 - 1
/ 219
/ 190
/ 210
/ None of the above

Bottom of Form

/ "If there is a choice that has a majority of the first-place votes in an election, then that choice should be the winner of the election." This fairness criterion is called the
/ Condorcet criterion
/ independence of irrelevant alternatives criterion
/ majority criterion
/ monotonicity criterion
/ None of the above
/
/ / "If in an election there is a Condorcet candidate, then such a candidate should be the winner of the election." This statement is another way to phrase the
/ Condorcet criterion
/ monotonicity criterion
/ majority criterion
/ independence of irrelevant alternatives criterion
/ None of the above
/
/ / 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
/ Condorcet criterion
/ independence of irrelevant alternatives criterion
/ majority criterion
/ monotonicity criterion
/ None of the above
/ An election is held for president of the United States. Three candidates are running, a Democrat, a Republican, and an Independent. A certain voter prefers the Independent candidate over the other two, but realizing (because of all the pre-election polls) the race is going to be a close race between the Democrat and the Republican and that the Independent doesn't have a chance, he votes instead for his second choice (his preference between the Democrat and the Republican). This is an example of
/ the monotonicity criterion
/ the independence of irrelevant alternatives criterion
/ stupidity
/ insincere voting
/ None of the above