Question 3 (20 points). 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 rst 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 (:1 move to the top for all agents. The new individual preferences are: Individual 1 Individual 2 Individual 3 c>d>a>b c>d>a>b c>d>b>a (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