Skills Check
1. A preference list ballot
2. To say that a voting system treats all voters equally means that _________.
2.
if any two voters exchange ballots, the election outcome is unchanged
3. To say that a voting system for two candidates treats both candidates equally means that
3.
b
4. A two-candidate voting system is monotone if _______.
4.
a switch in a ballot from being a vote for the loser to being a vote for the winner doesn't change the election outcome
5. May’s theorem says that, with an odd number of voters, among all two-candidate voting systems that never result in a tie, majority rule is the only one that
5.
c
6. When a choice is being made between two candidates, the first type of voting system to suggest itself is __________.
6.
majority rule
7. In this chapter, the “number of voters assumption” refers to the assumption that
7.
b
8. The winner with Condorcet’s method is the candidate who _____________.
8.
defeats every other candidate in a one-on-one contest
9. Which of the following does not satisfy exactly two of the conditions in May’s theorem?
9.
d
10. The Hare system fails to satisfy _________.
10.
monotonicity
11. Suppose Condorcet’s method is being used in an election in which Candidate is ranked first on more than half of the ballots. Then Candidate is
432
11.
a
12. The flaw in Condorcet’s method is that it _________.
12.
sometimes produces no winner at all
13. Condorcet’s voting paradox refers to the fact that
13.
c
14. With plurality voting, the winner is the candidate who ___________.
14.
receives the most first-place votes
15. George W. Bush’s defeat of Al Gore in the state of Florida in the 2000 presidential election shows that
15.
a
16. With the Borda count, the election winner is the candidate who ___________.
16.
has the highest Borda score
17. Rather than assigning points and doing arithmetic, the Borda score of a candidate can be found by
17.
a
18. Independence of irrelevant alternatives says that a nonwinner can never switch to being a winner unless at least one voter changes his or her ballot in a way that ___________.
18.
reverses the order in which this nonwinner and the winner were ranked
19. The Borda count fails to satisfy
19.
c
20. The term single transferrable vote system is sometimes used to refer to the voting system in this chapter called __________.
20.
the Hare system
21. A voting system satisfies the CWC provided that, in every election,
21.
c
22. Sequential pairwise voting is the voting system in which _______________.
22.
one-on-one contests take place according to an ordering of the candidates called an “agenda”
23. Sequential pairwise voting fails to satisfy
23.
b
24. The voting system in which a voter can vote for as many candidates as he or she wishes to vote for is called ___________.
24.
approval voting
25. Suppose the Borda count is being used in an election in which Candidate is ranked first on more than half of the ballots. Then Candidate is
25.
c
26. A voting system is manipulable if there are elections in which __________________________________________________________________.
26.
it is to a voter's advantage to submit a ballet that misrepresents his or her preferences
27. Suppose the Hare system is being used in an election in which Candidate is ranked first on more than half of the ballots. Then Candidate is
27.
a
28. Both the Hare system and the plurality runoff method are defective in that ___________.
28.
they fail to satisfy monotonicity
29. Arrow’s impossibility theorem says that with three or more candidates and any number of voters, there is no voting system that
29.
d
30. The weak version of Arrow’s impossibility theorem asserts that, with three or more candidates and an odd number of voters, there is no voting system that ___________.
30.
satisfies the Condorcet winner criterion and independence of irrelevant alternatives, and always produces at least one winner in every election.