Given the following voter profile, determine who has the majority of first place votes and then use the Borda Method to determine the outcome. Does the Borda method violate the majority criterion For the voter profile?
$\begin{array}{c|l}
\text { Number of Voters } & \text { Ranking } \
\hline 7 & abc \
10 & bac \
12 & acb \
8 & cba
\end{array}$

A) b, a; yes
B) a, a; no
C) b, b; no
D) a, b; yes

Question

Given the following voter profile, determine who has the majority of first place votes and then use the Borda Method to determine the outcome. Does the Borda method violate the majority criterion For the voter profile? 
$\begin{array}{c|l}
\text { Number of Voters } & \text { Ranking } \
\hline 7 & a>b>c \
10 & b>a>c \
12 & a>c>b \
8 & c>b>a
\end{array}$

A) b, a; yes
B) a, a; no
C) b, b; no
D) a, b; yes

Quizplus · Accepted Answer

The Borda Method gives a to 33 points, b to 29 points, and c to 18 points. Therefore, a wins by the Borda Method. The Borda Method does not violate the majority criterion for this voter profile because the candidate with the majority of first place votes (a) also wins by the Borda Method.