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There are three individuals and four alternatives, a, b, c and d. The individual preferences are: Individual 1 Individual 2 Individual 3 a> b>c>d

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There are three individuals and four alternatives, a, b, c and d. The individual preferences are: Individual 1 Individual 2 Individual 3 a> b>c>d a> b>c>d b>c>d> a | Suppose the voting proceeds with the use of Borda count. The alternative listed first on a ballot gets 4 points, the alternative listed second gets 3 points, the alternative listed third gets 2, the alternative listed fourth gets 1. (a) How many points are gained by each alternative? What is the social preference? Now suppose alternatives c and d move to the top for all agents. The new individual preferences are: Individual 1 Individual 2 c>d>abc>d>a>b|c>d>b>a Individual 3 (b) How many points are gained by each alternative? What is the new social preference? (c) Use your answers to (a) and (b) to illustrate the concept of the reversal paradox.

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