# 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.

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]
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]
Pairwise comparison method [17.1]
Pareto principle [17.1]
Plurality method [17.1]
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).

IMPORTANT IDEAS

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.

TYPES OF PROBLEMS

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]