Question
A three-person committee has to choose a winner for a national art prize.After some debate,there are three candidates still under consideration:a woman who draws antelope
A three-person committee has to choose a winner for a national art prize.After some debate,there are three candidates still under consideration:a woman who draws antelope in urban settings,a man who makes rectangular lead boxes,and a woman who sculpts charcoal.Let's call these candidates a,b and c;and call the committee members1,2and3.The preferences of the committee members are as follows:
Member1:a>b>c;
Member2:c>a>b;
Member3:b>c>a;
where">"should beinterpretedas"is preferred".
The rules of the competition say that,if they disagree,they should vote(secret ballot,one member one vote)and that,if and only if the vote is tied,the winner will be the candidate for whom member1voted.Suppose that eachcommitteemember gets a payoff of1if her most preferred candidate is elected,0if her second most preferred candidate is elected,and-1if her least preferred candidate is elected.Suppose each committee member votes for her most preferred candidate,the payoff for member1is_____, member 2 is ______, member 3 is ______. Now suppose that member3votes for candidate c while members1and two vote as before.Then,thepayoff for member1is_____, member 2 is ______, member 3 is ______.
Please fill in the blank. Thanks
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