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question 98

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Use the following information to answer the Questions
Consider an 11-member committee that must choose one of three alternatives: X, Y, or Z. Their schedule of preferences is shown below. \quad \quad \quad \quad \quad \quad \quad Number of voters \text { Number of voters }

542 First choice ZXY Second choice YYX Third choice XZZ\begin{array} { l c c c } & 5 & 4 & 2 \\\text { First choice } & \mathrm { Z } & \mathrm { X } & \mathrm { Y } \\\text { Second choice } & \mathrm { Y } & \mathrm { Y } & \mathrm { X } \\\text { Third choice } & \mathrm { X } & \mathrm { Z } & \mathrm { Z }\end{array}
-If the Hare system is used, alternative X wins. Could the voters who most prefer Y vote insincerely in some way to change the outcome in a way that would benefit them?


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