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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 4, Problem 16RE

Textbook Problem

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Use the pairwise comparison method of voting to choose the winner of the election in Exercise 14.

To determine

Use the plurality with elimination method to determine the winner of tile election.

**Given Information:**

Rankings | |||||

G. Reynolds | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | |

L. Hernandez | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | |

â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | |

J. Schneider | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | |

Number of votes | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ |

**Concept used:**

Plurality with elimination method

**Calculation:**

Create a table to keep track of each of the head to head comparisons. Before we begin note that a matchup between, say, G. Reynolds and l. Hernandez is same as the matchup between L. Hernandez and G. Reynolds. Therefore we will shade the duplicate cell and the cell between the same candidates. This is shown below.

Versus | G. Reynolds | L. Hernandez | A. Kim | J. Schneider |

G. Reynolds | ||||

L. Hernandez | ||||

â€ƒâ€ƒ | ||||

J. Schneider |

G. Reynolds is favored over L. Hernandez with

L. Hernandez is favored over G. Reynolds with

Therefore, the winner of this matchup is G

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