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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 4.2, Problem 37ES

Textbook Problem

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Election Three candidates are running for mayor. A vote was taken in which the candidates were ranked in order of preference. The results are shown in the preference schedule below.

a. Use the Borda count method to determine the winner of the election.

b. Verify that the majority criterion has been violated.

c. Identify the candidate who wins all head-to-head comparisons.

d. Explain why the Condorcet criterion has been violated.

e. If Marcia Beasley drops out of there for mayor (and voter preferences remain the same), determine the winner of the election again, using the Borda count method.

f. Explain why the independence of irrelevant alternatives criterion has been violated.

To determine

**(a)**

Find the winner of the election by the help of Borda count method.

**Given:**

The given data is

**Calculation:**

Given:

Use Borda count method.

For each first place

For each second place

For each third place

Vote received by Jhon Lorenz is,

First place vote

Second place vote

Third place vote

Total votes

To determine

**(b)**

Check whether the majority criteria is violated or not.

To determine

**(c)**

Find the candidate who wins all head-to-head comparisons.

To determine

**(d)**

Explain why the Condorcet criterion has been violated.

To determine

**(e)**

Find the winner of the election by the help of Borda count method.

To determine

**(f)**

Describe the independence of irrelevant alternatives criterion has been violated.

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