Use the following information to answer the Questions
Twenty-nine voters rank three candidates according to the following preference table. $ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$\text { Number of voters }$
$\begin{array} { l c c c c }
& 3 & 9 & 8 & 9 \
\text { First choice } & \mathrm { C } & \mathrm { C } & \mathrm { A } & \mathrm { B } \
\text { Second choice } & \mathrm { B } & \mathrm { A } & \mathrm { B } & \mathrm { A } \
\text { Third choice } & \mathrm { A } & \mathrm { B } & \mathrm { C } & \mathrm { C }
\end{array}$
-Which candidate wins using sequential pairwise voting with agenda A, B, C?

Question

Use the following information to answer the Questions 
Twenty-nine voters rank three candidates according to the following preference table. $ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$\text { Number of voters }$
$\begin{array} { l c c c c } 
& 3 & 9 & 8 & 9 \
\text { First choice } & \mathrm { C } & \mathrm { C } & \mathrm { A } & \mathrm { B } \
\text { Second choice } & \mathrm { B } & \mathrm { A } & \mathrm { B } & \mathrm { A } \
\text { Third choice } & \mathrm { A } & \mathrm { B } & \mathrm { C } & \mathrm { C }
\end{array}$
-Which candidate wins using sequential pairwise voting with agenda A, B, C?

Quizplus · Accepted Answer

In sequential pairwise voting with the agenda A, B, C, we first compare A and B. A has 8 votes as the first choice, and B has 9 votes as the first choice. However, A also receives 9 votes from those who preferred C as their first choice (since A is their second choice), making a total of 17 votes for A against B's 9 votes (since the 3 voters who preferred C first would vote for B as their second choice). Therefore, A wins against B.Next, we compare the winner of the first round (A) with C. A already has 17 votes from the first round. C has 12 votes as the first choice. The 9 voters who preferred B as their first choice would prefer A as their second choice over C, adding to A's total and ensuring A wins against C as well.Thus, candidate A wins the sequential pairwise voting with the agenda A, B, C.

Use the Following Information to Answer the Questions Twenty-Nine \quad

Use the Following Information to Answer the Questions
Twenty-Nine $\quad$