Question: Two football teams, B and P , meet for the Superbowl. Each offense can play run right (RR), run left (RL), short pass (SP), deep pass (DP), or screen pass (ScP). Each defense can choose to blitz (Bl), defend a short pass (DSP), or defend a long pass (DLP), or defend a run (DR). Suppose that team B does a statistical analysis and determines the following payoffs when they are on defense:
A negative payoff represents the number of yards gained by the offense, so a positive number is the number of yards lost by the offense on that play of the game. Solve this game and find the optimal mix of plays by the defense and offense. (Caution: This is a matrix in which you might want to add a constant to ensure v(A) > 0.Then subtract the constant at the end to get the real value. You do not need to do that with the strategies.)