A 3-member committee must elect one of four candidates: R, S, T, or W. The winner is to be selected via the Borda count method and the chair will...

A 3-member committee must elect one of four candidates: R, S, T, or W. The winner is to be selected via the Borda count method and the chair will have tie breaking power. See the preference schedule below.

 Number of members

 Chair

Amy

Adam

John

First choiceR

S

T

W

Second choiceS

R

S

T

Third choiceT

T

R

S

Fourth choiceW

W

W

R

1.) Who will win the election? Is this an example of the Chair's paradox? Please explain why or why not.

2.) Can John manipulate the election? Please explain your answer in detail.