4. (20 points) moderately difficult Consider the following two player game I' = (N = (1,2}, (S,hie(12), {u;hie(12)). We say that the game I is strictly competitive, if for every strategy profile s = ($1, $2) ( S, x 52, ui( $1, $2) + uj ($1, $2) =0, ifj. Establish the following: 2 (a) If s* = (s;, s;) is a NE, then for every player i, s; is a solution of max,,es, [min,, ES, ui(s;, s;)]. (b) If I has a NE, then each player's payoff is the same in all equilibria