Questions on microeconomics asked below. Provide solutions for the same.

(a) In the following pair of games, check whether the players' preferences over lotteries on the strategy profiles are identical (i.e. row player's preferences on the left to the row player's preferences on the right and column player's preferences on the left to the column player's preferences on the right). L M R. L M R. 2,-2 1,1 -3,7 12.-1 5.0 -3,2 b 1,10 0,4 0,4 b 5.3 3,1 3.1 -2,1 1,7 -1,-5 C -1.0 5.2 1.-2 (b) Under Postulates P1-5 of Savage, let D1, D2. . ... D,, be disjoint non-null events such that Dj~D,~ ~Do, where > and ~ are the at least as likely as and as likely as relations between events, derived from betting preferences as in the class. Given any subsets / and N' of {1, 2, ...,n}, show that UD UD - IN| 2 IN'. iEN iEN'