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