5. "Chicken" is a game played by two teenagers who drive their cars toward one another at top speed on a single-lane road. The first to Swerve off the road loses face, whereas the one who Stays the course gains peer-group esteem. If both Swerve, both lose face, but each to a lesser extent than if they did so alone; if both Stay, both die in the resulting head-on collision. The numerical payoffs for the Chicken game are given in the following table: Teen 2 Swerve Stay Teen Swerve 2, 2 1 , 3 1 Stay 3, 1 0,0 (a) Determine the pure-strategy Nash equilibria (if any). (b) Determine the mixed-strategy Nash equilibrium. What is the probability that both teenagers will survive