   # Does the winner in Exercise 24c satisfy the Condorcet criterion? ### Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584

#### Solutions

Chapter
Section ### Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584
Chapter 4.2, Problem 34ES
Textbook Problem
1 views

## Does the winner in Exercise 24c satisfy the Condorcet criterion?

To determine

Does the winner in Exercise 24c satisfy the Condorcet crîterion?

### Explanation of Solution

Given Information:

Winner in Exercise 24c

Concept used:

Create a table to keep track of each of the head-to-head comparisons.

Calculation:

Create a table to keep track of each of the head-to-head comparisons. Therefore shade the duplicate cell and the cell between the same recreate activities. This is shown below

 Versus Picnic in a Park Water Skiing at a lake Amusement Park Riding horses at a ranch Dinner Cruise Picnic in a park Picnic in a park Amusement Park Picnic in a Park Picnic in a Park Water Skiing at a lake Amusement Park Riding Horses at a ranch Dinner cruise

Picnic in a park is favored over water skiing at a lake with 10+6+28=44 votes.

Water skiing at a lake is favored over Picnic in a park with 18+16=34 votes.

Therefore, the winner of this matchup is picnic in a park, so that name is place in the Picnic in a park versus water skiing at a lake cell.

Picnic in a park is favored over Amusement park with 10+18+6=34 votes.

Amusement park is favored over Picnic in a park with 28+16=44 votes

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