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

Question

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

Quizplus · Accepted Answer

In a Borda count, each rank is assigned a point value, and the candidate with the highest total points wins. The original table shows D already winning without manipulation, as D is the first choice of two voters. Manipulation by the second voter to favor D more would not change the outcome since D is already their first choice.

Consider the Following Preference Table for Four Voters If a Borda Count Is Used, Can the Second Voter