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

Question

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

Quizplus · Accepted Answer

In Borda count, the winner is determined by assigning points to each candidate based on their ranking. The candidate with the highest total points wins. In this case, A has a total of 7 points, B has 8 points, C has 10 points, and D has 9 points. Even if the third voter ranks A as their first choice, A can only get 4 points in total and cannot surpass the other candidates. Therefore, the third voter cannot manipulate the outcome so that A wins.

Consider the Following Preference Table for Four Voters to Answer