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2 pts Question 6 For questions 6-10: Assume an individual could either have strict preferences or be indifferent. Also assume the following social choice rule
2 pts Question 6 For questions 6-10: Assume an individual could either have strict preferences or be indifferent. Also assume the following social choice rule is being used: If individual 1 prefers x, then y wins; If individual 1 prefers y, then x wins; If individual 1 is indifferent and individual 2 prefers x, then y wins; If individual 1 is indifferent and individual 2 prefers y, then x wins. 6. Use the following table: f (-1, +1) f (0, +1) f (+1, +1) f (-1, 0) f (0, 0) f (+1, 0) f (-1, -1) f (0, -1) f (+1, -1) 1st row: Entries in 1st column, 2nd column , 3rd column =_ 2nd row: Entries in 1st column, 2nd column , 3rd column = _ 3rd row: Entries in 1st column, 2nd column , 3rd column = +1 -1 -1 +1 +1 +1 10 1 1 +1 1 +1 +1 +1 14 10 $1 +1 1 +1 -1 +1D Question 10 10. Which of the following statements is true? O The lists (-1, 0) and (-1, +1) provide a counter-example to Positive Responsiveness. The lists (0, O) and (0, +1) provide a counter-example to Positive Responsiveness. The lists (0. -1) and (0, +1) provide a counter-example to Positive Responsiveness. The lists (-1, -1) and (-1, 0) provide a counter-example to Positive Responsiveness. The social choice rule satisfies Positive Responsiveness.Question 7 7. Which of the following statements is true? The list ( -1, -1) provides a counter-example to Universal Domain. The list ( 0, 0) provides a counter-example to Universal Domain. The list ( 0. +1) provides a counter-example to Universal Domain. O The list ( -1, 0) provides a counter-example to Universal Domain. The list ( 0, -1) provides a counter-example to Universal Domain. Question 8 8. Which of the following statements is true? The lists (+1. 0) and (0, +1) provide a counter-example to Anonymity. The lists (0, -1) and (-1, 0) provide a counter-example to Anonymity. The lists ( -1. -1) and (+1, +1 ) provide a counter-example to Anonymity. The lists (+1, -1) and (-1, +1) provide a counter-example to Anonymity. O The social choice rule satisfies Anonymity. Question 9 9. Which of the following statements is true? The social choice rule satisfies Neutrality. The lists (+1, -1) and (-1, +1) provide a counter-example to Neutrality. The list ( 0, 0) provides a counter-example to to Neutrality. The lists (0, -1) and (0, +1) provide a counter-example to Neutrality. O The lists (+1, 0) and (-1, 0) provide a counter-example to Neutrality
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