Question

is playing an important footballl game against its cross town rival, the Palmetto State University "Palms". It is late in the fourth quarter. The team on offense (USM) is attempting to move the ball forward to improve its chances of kicking a game winning field goal. Assume that USM has four possible strategies: a run and three different-length passes (short, medium, and long). On defense the PSU Palms can adopt one of three different strategies for the ensuing play: defend against a run, defend against a pass, or blitz the quarterback. Ms. Lourdes Gaga is a student assistant to USM head coach, Vince Lombard. She has assembled enough statistical data on the relative strengths and tendencies of the two teams in similar situations. Indeed, based on past experience, she has calculated the average gain in yardage the Breeze may reasonably expect under each combination of strategies. Moreover, she has reason to believe that the opposing team's statistician has the same data, and vice versa. During a brief time out, Ms. Gaga shows the following payoff table to Coach Lombard. He knows that his counterpart on the other sideline is most likely reviewing the same data. For the next play, the two coaches opt for their most reasonable strategies - based on data in the payoff matrix PSU Pass Run Blitz Run 2 5 13 Short USM 5 1 Pass Med 9 8 10 Pass Long 15 3 2 Pass INSTRUCTIONS: Using a proper game theory solution technique, determine the expected outcome of the ensuing play. Be specific! (Also, be sure to show all your work) LC LO CO

Answer 1

IA a Livo peu wms USN hu winimum Au mapiwum leses amd PSo wu min Minimum P SU Run Rutz Pass Run 13 6NΟΥ ΡO USM 10 8 Maimin ud Pau Pas 2 uonimum of 15 13 column Nnumarx Mad Pauu amd PSU wu play USM wu fau fομiθoum ( Mud Pau, faus) uith payatt C3,-8).

*NOTE: Here the payoffs are that of USM's.