(1) Game of Chicken The game of Chicken is played by two teenagers who speed towards each other on a single-lane road. The first to swerve is branded the chicken whereas the one who does not swerve gains peer-group esteem. Of course, if neither swerves, both die in the resulting crash. Payoffs to this Chicken game are provided below: swerve Teenager1 do not swerve Teenager 2 swerve do not swerve 20,20 30,10 10,30 0,0 a. What is/are the pure-strategy Nash equilibrium/equilibra? (hint: write out best responses) b. Compute the mixed-strategy Nash equilibrium. As part of your answer, draw the best- response function diagram for the mixed strategies (see the example from class or the textbook page 264). c. Draw the extensive form where Teen 1 moves first. Assume that Teen 1 can credibly signal the commitment to his action by throwing away the steering wheel or blocking it by a device. What is/are the Nash equilibrium/equilibria? (hint: use backward induction to come to the answer and explain it in writing)