(A) Using the Pairwise Comparison Voting Method, Determine the Winner

question 48

Short Answer

$$\begin{array}{l}\text { The results of an election are summarized in the preference table below. }\\\begin{array} { l | c c c c } \text { Number of votes } & 15 & 2 & 20 & 10 \\\hline \text { First choice } & \mathrm { X } & \mathrm { X } & \mathrm { Z } & \mathrm { Y } \\\text { Second choice } & \mathrm { Y } & \mathrm { Z } & \mathrm { Y } & \mathrm { X } \\\text { Third choice } & \mathrm { Z } & \mathrm { Y } & \mathrm { X } & \mathrm { Z }\end{array}\end{array}$$ (a) Using the pairwise comparison voting method, determine the winner. (b) If candidate X drops out and the votes are recounted, does this election violate the irrelevant alternative criterion?

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