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Suppose an assistant needs to schedule a meeting for Abby, Becky, and Cindy. They have the following preferences
Abby: Monday then Tue then Wed
Becky: Tue then Wed then Mon
Cindy: Wed then Mon then Tues
a) Suppose he decides to set the time by doing a round-robin vote (so pit 2 against each other and then the winner against a third). Will this produce a consistent outcome that doesn't depend on his ordering of choices? Explain.
b) Suppose the assistant realizes that Wed is not workable. He limits their choices to just Tues and Mon. Which day will they choose? Explain a situation where the day they choose by vote is nevertheless inefficient.
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