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Suppose the Election Is Declared Invalid, and a Reelection Is

Question 4

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Suppose the election is declared invalid, and a reelection is held in which the people who originally voted XWYZ change their vote to ZWYX.

 Number of votes 42541 First choice  Z  X  W  Y X Second choice  W  W  Y ZZ Third choice  Y  Y  Z  X  W  Fourth choice  X ZXWY\begin{array}{l|lllll}\text { Number of votes } & 4 & 2 & 5 & 4 & 1 \\\hline \text { First choice } & \text { Z } & \text { X } & \text { W } & \text { Y } & \mathrm{X} \\\text { Second choice } & \text { W } & \text { W } & \text { Y } & \mathrm{Z} & \mathrm{Z} \\\text { Third choice } & \text { Y } & \text { Y } & \text { Z } & \text { X } & \text { W } \\\text { Fourth choice } & \text { X } & \mathrm{Z} & \mathrm{X} & \mathrm{W} & \mathrm{Y}\end{array}
Is the monotonicity criterion violated? Explain your answer.

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