2. From the movie A Beautiful Mind: there are 4 men and 5 women at the bar. There are two types of women 7 and 1b . Out of 5 women one is type 7 and 4 are type w. Each man decides a woman ('7 or w) to hit on, simultaneously. Suppose the w's are equally attractive to the men, with appeal b. The '7 is more attractive, with appeal a>b. If more than one man attempts to hit on the 7, they succeed neither with the \"y (they block each other), nor with any d! (the latter feel slighted). Any man choosing not to hit on the 'y succeeds with a at, for a payoff of b. If a man is the only one who hits on the 7, he succeeds, with a payoff of 0. Find all Nash equilibria of this game (both pure and mixed)