The Results of an Election Are Summarized in the Preference

question 45

Multiple Choice

The results of an election are summarized in the preference table below.
$\begin{array}{l|lcccc}\text { Number of votes } & 5 & 12 & 7 & 14 & 10 \\\hline \text { First choice } & \mathrm{Z} & \mathrm{Z} & \mathrm{X} & \mathrm{X} & \mathrm{Y} \\\text { Second choice } & \mathrm{X} & \mathrm{Y} & \mathrm{Y} & \mathrm{Z} & \mathrm{Z} \\\text { Third choice } & \mathrm{Y} & \mathrm{X} & \mathrm{Z} & \mathrm{Y} & \mathrm{X}\end{array}$

Suppose the election is declared invalid, and a reelection is held. If the people who voted $\mathrm { XYZ }$ in the original election change their vote to $\mathrm { ZXY }$ , is the monotonicity criterion violated?

• A) No
• B) Yes

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