Consider the following preference table for three voters to answer Questions $$\begin{array} { l l l l }
\text { First choice } & \mathrm { C } & \mathrm { D } & \mathrm { A } \
\text { Second choice } & \mathrm { B } & \mathrm { A } & \mathrm { B } \
\text { Third choice } & \mathrm { D } & \mathrm { B } & \mathrm { D } \
\text { Fourth choice } & \mathrm { A } & \mathrm { C } & \mathrm { C }
\end{array}$$
-If a Borda count is used, can the voter on the right manipulate the outcome to his or her benefit?

Question

Consider the following preference table for three voters to answer Questions $$\begin{array} { l l l l } 
\text { First choice } & \mathrm { C } & \mathrm { D } & \mathrm { A } \
\text { Second choice } & \mathrm { B } & \mathrm { A } & \mathrm { B } \
\text { Third choice } & \mathrm { D } & \mathrm { B } & \mathrm { D } \
\text { Fourth choice } & \mathrm { A } & \mathrm { C } & \mathrm { C }
\end{array}$$
-If a Borda count is used, can the voter on the right manipulate the outcome to his or her benefit?

Quizplus · Accepted Answer

Since the Borda count assigns points to each choice (e.g. 3 points for a first choice, 2 for a second, etc.), the voter on the right could manipulate the outcome by ranking their preferred choice first and the other two choices last. This would give their preferred choice the most points and potentially influence the outcome in their favor.

Consider the Following Preference Table for Three Voters to Answer