MA 125 - Reading Assignment 2 - Section 1.3 - Spring 2008
Uncle Sam wants
1. A plurality election between any two candidates in an election is called a -
- .
2. Follow Example 1. For the three candidates below, determine the winners of all possible
elections held between two candidates. (There are three such elections.)
Number of Voters
1 3 1 2
Candidate 1 1 2 1 3
Candidate 2 2 3 3 1
Candidate 3 3 1 2 2
3. A candidate who is the winner of all possible elections between himself/herself and every
other candidate is called the winner.
4. A candidate who wins or ties all possible elections between himself/herself and every other
candidate is called the winner.
5. For the elections held in Question #2 of this sheet, was there a winner of the type described
in Question #3 of this sheet?
6. The process of analyzing real-life problems by deducing or hypothesizing a mathematical
structure is called .
7. True or False: A winner of the type described in Question #3 of this sheet must also be the
winner plurality election of all the candidates.
8. Give an example of a situation in which preference rankings are often single-peaked.
9. Give an example of a situation in which preference rankings are probably not single-peaked.
