Question 8 of 8, Step 1 of 1
4/8
Correct
Love Digest magazine wants to name the number one activity for a first date amongst singles. They enlist the help of an online dating site that asks members to rank five activities in order of their preference as part of their sign-up process. The five activities include meeting for drinks, a sporting event, a concert, a movie, and volunteering. The following preference table summarizes the rankings of the members surveyed. Determine if the Condorcet criterion is satisfied if the top choice, a concert, is chosen by the plurality with elimination method. Why or why not?
Answer
Preference Table for First Date Activities
Votes
157
239
242
125
153
203
1st
Drinks
Volunteering
Movie
Sporting Event
Concert
Concert
2nd
Sporting Event
Movie
Concert
Concert
Sporting Event
Sporting Event
3rd
Concert
Sporting Event
Volunteering
Movie
Drinks
Drinks
4th
Volunteering
Sporting Event
Volunteering
Volunteering
Movie
Movie
5th
Movie
Drinks
Drinks
Drinks
Volunteering
Volunteering
Votes
157
239
242
125
153
203
1st
Drinks
Volunteering
Movie
Sporting Event
Concert
Concert
2nd
Sporting Event
Movie
Concert
Concert
Sporting Event
Sporting Event
3rd
Concert
Sporting Event
Volunteering
Movie
Drinks
Drinks
4th
Volunteering
Sporting Event
Volunteering
Volunteering
Movie
Movie
5th
Movie
Drinks
Drinks
Drinks
Volunteering
Volunteering
The Condorcet criterion is satisfied because the winner by the pairwise method of comparison is a concert
The Condorcet criterion is not satisfied because the winner by the pairwise method of comparison is a concert
The Condorcet criterion is not satisfied because the winner by the Borda count method of comparison is a concert
The Condorcet criterion is satisfied because the winner by the Borda count method of comparison is a concert