Section 17.5: Review for Chapter 17

Studying for a chapter examination is a personal process, one which nobody else can do for you. Simply take the time to review what you have done.

Here are the new terms in Chapter 17.

Adams’ plan [17.3]
Alabama paradox [17.4]
Apportionment [17.3]
Approval voting method [17.1]
Arithmetic mean [17.3]
Arrow’s impossibility theorem [17.2]
Balinski and Young’s impossibility theorem [17.4]
Binary voting [17.1]
Borda count [17.1]
Condorcet candidate [17.2]
Condorcet criterion [17.2]
Condorcet’s paradox [17.2]
Decisiveness [17.2]
Dictatorship [17.1]
Fairness criteria [17.2]
Fair voting principles [17.2]
Geometric mean [17.3]
Hamilton’s plan [17.3]
Hare method [17.1]
HH plan [17.3]
Huntington-Hill’s plan [17.3]
Independence of irrelevant alternatives [17.2]
Irrelevant alternatives criterion [17.2]
Jefferson’s plan [17.3]
Lower quota [17.3]
Majority criterion [17.2]
Majority rule [17.1]
Modified divisor [17.3]
Modified quota [17.3]
Monotonicity criterion [17.2]
New states paradox [17.4]
Pairwise comparison method [17.1]
Pareto principle [17.1]
Plurality method [17.1]
Population paradox [17.4]
Quota rule [17.3]
Runoff election [17.1]
Sequential voting [17.1]
Social choice theory [17.1]
Standard divisor [17.3]
Standard quota [17.3]
Straw vote [17.2]
Symmetry [17.1, 17.2]
Tournament method [17.1]
Transitive law [17.2]
Unrestricted domain [17.1]
Upper quota [17.3]
Vote [17.1]
Webster’s plan [17.3]

If you can describe the term, read on to the next one; if you cannot, then look it up in the text (the section number is shown in brackets).


Can you explain each of these important ideas in your own words?

Voting procedures [17.1]
Summary of voting methods, Table 17.2 [17.1]
Fair voting principles: majority criterion, Condorcet criterion,
monotonicity criterion, irrelevant alternatives criterion [17.2]
Arrow’s impossibility theorem [17.2]
Legislative seats or other resources [17.3]
Flaws or inconsistencies in the apportionment process [17.4]

Next, make sure you understand the types of problems in Chapter 17.


Understand and be able to use voting notation. [17.1]
Decide how many different voting orders are possible for a set of candidates. [17.1]
Use the majority rule. [17.1]
Calculate the winner of an election using the plurality method. [17.1]
Calculate the winner of an election using the Borda count method. [17.1]
Calculate the winner of an election using the pairwise comparison method. [17.1]
Calculate the winner of an election using the tournament method. [17.1]
Calculate the winner of an election using the Hare method. [17.1]
Discuss and recognize the majority criterion. [17.2]
Discuss and recognize the Condorcet criterion. [17.2]
Discuss and use the monotonicity criterion. [17.2]
Discuss and use the irrelevant alternatives criterion. [17.2]
List the fairness criteria. [17.2]
Find the standard quota and divisor. [17.3]
Apportion using Adams’ plan. [17.3]
Apportion using Jefferson’s plan. [17.3]
Apportion using Hamilton’s plan. [17.3]
Apportion using Webster’s plan. [17.3]
Apportion using Huntington-Hill’s plan. [17.3]
Discuss and recognize the Alabama paradox. [17.4]
Discuss and recognize the population paradox. [17.4]
Discuss and recognize the new states paradox. [17.4]

Once again, see if you can verbalize (to yourself) how to do each of the listed types of problems. Work all of Chapter 17 Review Questions (whether they are assigned or not).

Work through all of the problems before looking at the answers, and then correct each of the problems. The entire solution is shown in the answer section at the back of the text. If you worked the problem correctly, move on to the next problem, but if you did not work it correctly (or you did not know what to do), look back in the chapter to study the procedure, or ask your instructor. Finally, go back over the homework problems you have been assigned. If you worked a problem correctly, move on the next problem, but if you missed it on your homework, then you should look back in the text or talk to your instructor about how to work the problem. If you follow these steps, you should be successful with your review of this chapter.

We give all of the answers to the Chapter Review questions (not just the odd-numbered questions), so be sure to check your work with the answers as you prepare for an examination.