Three friends are choosing a TV show to watch. Here are their preferences:

	Crystal	Hilary	Brian
First choice	Supergirl	Homeland	Empire
Second choice	Homeland	Empire	Supergirl
Third choice	Empire	Supergirl	Homeland

If the three friends were to use a Borda count to make their choice, what would happen?

They would choose to watch Empire.

They would choose to watch Homeland.

There would be a tie among the three television shows.

They would choose to watch Supergirl.

Hilary suggests a vote by majority rule. She proposes that first they choose between Empireand Supergirl, and then choose between the winner of the first vote and Homeland. Assume they all vote their preferences honestly.

In a vote between Empireand Supergirl,Empire would win. In a vote between the winner of the first vote and Homeland,Homeland would win.

If Brian agrees to Hilary's suggestion, he will get his first choice.

True

False

Crystal and Hilary convince Brian to go along with Hilary's proposal. In round one, Brian dishonestly says he prefers Supergirlover Empire.

Since Brian lies, in a vote between Empireand Supergirl, will now win. In a vote between the winner of the first vote and Homeland, will win.

True or False: Brian is better off lying than telling the truth about his preference between Empireand Supergirl.

True

False