(20 points) moderately difficult Consider the following two player game I = (N = (1, 2}, {Schie(12), (ugie(12)). We say that the game I is strictly competitive, if for every strategy profile s = ($1, $2) ( S1 x 52. ui ($1, $2) + u; ($1, $2) = 0, if j. Establish the following: 2 (a) If s* = (sj, s;) is a NE , then for every player i, s; is a solution of max,, es, [mins, Es, u;(s;, s;)]. (b) If I has a NE, then each player's payoff is the same in all equilibria