The results of an election are summarized in the preference table below.
$\begin{array}{l|ccc}
\text { Number of votes } & 15 & 4 & 2 \
\hline \text { First choice } & \mathrm{X} & \mathrm{Z} & \mathrm{Y} \
\text { Second choice } & \mathrm{Z} & \mathrm{Y} & \mathrm{X} \
\text { Third choice } & \mathrm{Y} & \mathrm{X} & \mathrm{Z}
\end{array}$

(a) Using the pairwise comparison voting method, determine the winner.
(b) If candidate $\mathrm { Z }$ drops out, does this election violate the irrelevant alternative criterion?

Question

The results of an election are summarized in the preference table below.
$\begin{array}{l|ccc}
\text { Number of votes } & 15 & 4 & 2 \
\hline \text { First choice } & \mathrm{X} & \mathrm{Z} & \mathrm{Y} \
\text { Second choice } & \mathrm{Z} & \mathrm{Y} & \mathrm{X} \
\text { Third choice } & \mathrm{Y} & \mathrm{X} & \mathrm{Z}
\end{array}$

(a) Using the pairwise comparison voting method, determine the winner.
(b) If candidate $\mathrm { Z }$ drops out, does this election violate the irrelevant alternative criterion?

Quizplus · Accepted Answer

The Answer is (a) X
(b) No, the winner is still X.

The Results of an Election Are Summarized in the Preference