A two person zero sum matrix game between player 1 and play

A two person zero - sum matrix game between player 1 and player 2 has the pay - off matrix , where player 1 determines the row and player 2 the column. The matrix entries determine the pay - off to player 1. a. Find the Ml and Mll values for the game. How do you know the game is not stable? b. Suppose player 1 chooses row 1 with probability p and row 2 with probability 1 ? p. Find the values Ec1 (p) and Ec2(p) for strategies 1 and 2 for player 2. What value of p maximizes Min(Ec1 (p) , Ec2(p)) and what is this maximum value? c. Suppose player 2 chooses col 1 with probability q and col 2 with probability 1 - q. Find the values Er1 (q) and Er2(q) for strategies 1 and 2 for player 1. What value of q minimizes Max(Er1 (q) Er2(q)) and what is this minimum value? [Note: the max value in b and the min value in c should turn out to be equal. This value is the value of the game.]

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