1. 2-person zero sum games, via program (a) Recall I covered in class, to find equilibrium points i. check for saddle points 11. use the forrnula for 2 2 case 111, use the formula for 2 n case or m 2 case iv. use the principle of indifference v. use the principle of invariance vi, use the form ula for n n case, if the payoff rnatrix is non degenerate vii. use the linear programming formulation Using these 7 principles above, write a program, using a language of your choice, whose input is a payoff matrix, and whose output is (P,q, V), where p (pi,P2,..., Pm and q-(i, q2,..., qn are equilibrium strategies for player 1 and player 2, respectively and V is the the value of the game. Generate at random 100 payoff matrices with randorn value of 1