Let's study the rock, paper, and scissors game more formally. There are two players A and B. Suppose that if A win, he gets I dollar. If he loses, you get - I dokar, If he draws, he get o dollars. The same applies for B. a) Show the normal form (game table) representation of the game. There are three actions: Rock, paper, and Scissors. [Hint : This is a 3 * 3 matrix b) Show that ( Rock, Rock) is not a Nash equilibrium (NE). [tint : In checking whether ( Rock, Rock) is a Nash equilibrium ( IE), we look for Profitable unilateral deviations away from the proposed egsm ] ( ) show that (Paper, Rock) is not a Nash Equilibrium