Suppose that a society consists of three groups (A, B, C) choosing among four alternatives to produce the consequences x, y, z, and w. The utilities in the four cases are given as follows:
Individual Utilities:
X: 10 5 4
Y: 9 9 3
Z: 2 7 11
W: 1 6 5
a) What is the alternative that wins with the majority voting?
b) What is the alternative that wins with the Borda method?
c) What is the alternative that maximizes a utilitarian social welfare function?
d) What is the alternative that maximizes Rawlsian function?