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b. [2] Is there a Nash equilibrium in pure strategies for this game? If so, what is it? if not, demonstrate that there is none. [4] Professional NFL 2021 e-gamer Chaker has two options on the upcoming play: run the ball or opt for a pass. Peter, his opponent, can choose to either defend against the run or defend against the pass. Suppose that Chaker decides to pass. Then, if Peter defends against the pass, Chaker will make zero yards, and if Peter defends against the run, then he will make 20 yards. Suppose that the offense runs. If Peter defends against the pass, the offense will make 10 yards, and if the Peter defends against a run, the offense will gain 4 ya rds. For students that are not veryfomior with American/Canadian football: the objective is to odvon re into the opponent's end of the playing field in order to score points. Gaining yards is a good outcome, white conceding yards is a bad outcome. a. [2] Write down a payoff matrix for this game