1. There are three individuals, a, b and c, and two possible states of the world, s and t. State s is twice as likely as t. Consider the following six possible policies: a b c a b c a b c fi : s1 11 91 : $ 1 0 0 hi: s 10 0 to0 0 t101 to10 a b c a b c abc $2 : 5 0 0 0 92 : 5 0 1 1 h2 : s 0 1 1 t1 11 to10 t101 Rank these different policies according to the following welfare functions: (a) Harsanyi's additive social welfare function (use equal weights) (b) Rawls' minimum social welfare function (c) The social welfare function EU. . EU. . EU. (where EUn denotes n's ex- pected utility)