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CHECK POINT 3 An election with 120 voters and three candidates, A, B, and C, is to be decided using the plurality-with-elimination method. Table 13.17 shows the results of a straw poll. After the straw poll, 12 voters all changed their ballots to make candidate A their first choice. The results of the second election are given in Table 13.18.
TABLE 13.17 Preference Table for the Straw Vote
Number of Votes | 42 | 34 | 28 | 16 |
First Choice | A | C | B | B |
Second Choice | B | A | C | A |
Third Choice | C | B | A | C |
TABLE 13.18 Preference Table for theSecond Election | ||||
Number of Votes | 54 | 34 | 28 | 4 |
First Choice | A | C | B | B |
Second Choice | B | A | C | A |
Third Choice | C | B | A | C |
a. Using the plurality-with-elimination method, which candidate wins the first election?
b. Using the plurality-with-elimination method, which candidate wins the second election?
c. Does this violate the monotonicity criterion? Explain your answer.
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Chapter 13 Solutions
Thinking Mathematically, Books a la carte Edition plus MyLab Math with Pearson eText -- Access Card Package (6th Edition)
- Discrete Mathematics and Its Applications ( 8th I...MathISBN:9781259676512Author:Kenneth H RosenPublisher:McGraw-Hill EducationMathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSON
- Thinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSONDiscrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education
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