Consider the following preference table for four voters to answer the Questions $$\begin{array} { l l l l l }
\text { First choice } & \text { B } & \text { D } & \text { A } & \text { C } \
\text { Second choice } & \mathrm { C } & \mathrm { B } & \mathrm { C } & \mathrm { D } \
\text { Third choice } & \mathrm { A } & \mathrm { C } & \mathrm { B } & \mathrm { B } \
\text { Fourth choice } & \mathrm { D } & \mathrm { A } & \mathrm { D } & \mathrm { A } \
\text { Fifth choice } & \mathrm { E } & \mathrm { E } & \mathrm { E } & \mathrm { E }
\end{array}$$
-If a Borda count is used, can the second voter manipulate the outcome so that B wins?

Question

Consider the following preference table for four voters to answer the Questions $$\begin{array} { l l l l l } 
\text { First choice } & \text { B } & \text { D } & \text { A } & \text { C } \
\text { Second choice } & \mathrm { C } & \mathrm { B } & \mathrm { C } & \mathrm { D } \
\text { Third choice } & \mathrm { A } & \mathrm { C } & \mathrm { B } & \mathrm { B } \
\text { Fourth choice } & \mathrm { D } & \mathrm { A } & \mathrm { D } & \mathrm { A } \
\text { Fifth choice } & \mathrm { E } & \mathrm { E } & \mathrm { E } & \mathrm { E }
\end{array}$$
-If a Borda count is used, can the second voter manipulate the outcome so that B wins?

Quizplus · Accepted Answer

The second voter can manipulate the outcome by ranking B first, D second, C third, A fourth, and E fifth. This would give B 15 points, D 10 points, C 9 points, and A 6 points.

Consider the Following Preference Table for Four Voters to Answer