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Question 2. (24 points) A group with 11 members needs to make a choice from three alternatives: A, B and C. The individual preferences are

Question 2. (24 points) A group with 11 members needs to make a choice from three alternatives: A, B and C. The individual preferences are given by: 4 members strictly prefer A to C to B, 3 members strictly prefer B to C to A, 2 members strictly prefer B to A to C, and 2 members strictly prefer C to A to B.

(1) Is the individual preference profile single-peaked? Justify your answer

(2) What is the social preference according to plurality rule?

(3) What is the social preference according to simple majority rule?

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